{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,14]],"date-time":"2026-01-14T18:08:35Z","timestamp":1768414115615,"version":"3.49.0"},"reference-count":72,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,1,18]],"date-time":"2021-01-18T00:00:00Z","timestamp":1610928000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,18]],"date-time":"2021-01-18T00:00:00Z","timestamp":1610928000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61673008"],"award-info":[{"award-number":["61673008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cogn Comput"],"published-print":{"date-parts":[[2021,3]]},"DOI":"10.1007\/s12559-020-09782-w","type":"journal-article","created":{"date-parts":[[2021,1,18]],"date-time":"2021-01-18T11:14:29Z","timestamp":1610968469000},"page":"322-356","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":111,"title":["Bifurcation Properties for Fractional Order Delayed BAM Neural Networks"],"prefix":"10.1007","volume":"13","author":[{"given":"Changjin","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maoxin","family":"Liao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peiluan","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ying","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zixin","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,1,18]]},"reference":[{"issue":"5","key":"9782_CR1","doi-asserted-by":"crossref","first-page":"1607","DOI":"10.1007\/s13042-016-0531-1","volume":"18","author":"QY Zhou","year":"2017","unstructured":"Zhou QY. Anti-periodic solutions for cellular neural networks with oscillating coefficients in leakage terms. Int J Mach Learn Cyb. 2017;18(5):1607\u201313.","journal-title":"Int J Mach Learn Cyb."},{"issue":"4","key":"9782_CR2","doi-asserted-by":"crossref","first-page":"1557","DOI":"10.1002\/asjc.1468","volume":"19","author":"QY Zhou","year":"2017","unstructured":"Zhou QY. Weighted pseudo anti-periodic solutions for cellular neural networks with mixed delays. Asian J Control. 2017;19(4):1557\u2013633.","journal-title":"Asian J Control."},{"key":"9782_CR3","volume-title":"New results on pseudo almost periodic solutions of quaternion-valued fuzzy cellular neural networks with delays","author":"CJ Xu","year":"2020","unstructured":"Xu CJ, Liao MX, Li PL, Liu ZX, Yuan S. New results on pseudo almost periodic solutions of quaternion-valued fuzzy cellular neural networks with delays. Fuzzy Sets Syst: In press; 2020."},{"issue":"1","key":"9782_CR4","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1016\/S0252-9602(12)60211-2","volume":"33","author":"S Abbas","year":"2013","unstructured":"Abbas S, Xia YH. Existence and attractivity of k-almost automorphic sequence solution of a model of cellular neural networks with delay. Acta Math Sci. 2013;33(1):290\u2013302.","journal-title":"Acta Math Sci."},{"issue":"9","key":"9782_CR5","doi-asserted-by":"crossref","first-page":"2808","DOI":"10.1016\/j.jfranklin.2013.07.005","volume":"350","author":"YK Li","year":"2013","unstructured":"Li YK, Li YQ. Existence and exponential stability of almost periodic solution for neutral delay BAM neural networks with time-varying delays in leakage terms. J Franklin Inst. 2013;350(9):2808\u201325.","journal-title":"J Franklin Inst."},{"key":"9782_CR6","volume-title":"Adaptive synchronization for fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays","author":"XF Li","year":"2020","unstructured":"Li XF, Huang TW. Adaptive synchronization for fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays. Fuzzy Sets Syst: In press; 2020."},{"key":"9782_CR7","volume-title":"Quaternion-valued recurrent projection neural networks on unit quaternions","author":"ME Valle","year":"2020","unstructured":"Valle ME, Lobo RA. Quaternion-valued recurrent projection neural networks on unit quaternions. Theor. Comput. Sci: In press; 2020."},{"key":"9782_CR8","doi-asserted-by":"crossref","first-page":"125501","DOI":"10.1016\/j.jhydrol.2020.125501","volume":"590","author":"KH Ahn","year":"2020","unstructured":"Ahn KH. A neural network ensemble approach with jittered basin characteristics for regionalized low flow frequency analysis. J Hydrology. 2020;590:125501.","journal-title":"J Hydrology"},{"key":"9782_CR9","doi-asserted-by":"crossref","unstructured":"Kumar PS, Behera HS, K AK, Nayak J, Naik B. Advancement from neural networks to deep learning in software effort estimation: Perspective of two decades. Comput Sci Rev. 2020;38:100288.","DOI":"10.1016\/j.cosrev.2020.100288"},{"key":"9782_CR10","doi-asserted-by":"crossref","first-page":"1449","DOI":"10.1016\/j.neucom.2017.09.076","volume":"275","author":"SC Jia","year":"2018","unstructured":"Jia SC, Hu C, Yu J, Jiang HJ. Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays. Neurocomputing. 2018;275:1449\u2013555.","journal-title":"Neurocomputing"},{"issue":"8","key":"9782_CR11","first-page":"5720","volume":"39","author":"CJ Xu","year":"2016","unstructured":"Xu CJ, Li PL, Pang YC. Global exponential stability for interval general bidirectional associative memory (BAM) neural networks with proportional delays. Math Meth Appl Sci. 2016;39(8):5720\u201331.","journal-title":"Math Meth Appl Sci."},{"issue":"6","key":"9782_CR12","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1007\/s12559-016-9422-8","volume":"8","author":"CJ Xu","year":"2016","unstructured":"Xu CJ, Zhang QM, Wu YS. Bifurcation analysis for two-neuron networks with discrete and distributed delays. Cogn Comput. 2016;8(6):1103\u201318.","journal-title":"Cogn Comput."},{"key":"9782_CR13","doi-asserted-by":"crossref","unstructured":"Xu CJ, Li PL, Pang YC. Exponential stability of almost periodic solutions for memristor-based neural networks with distributed leakage delays. Neural Comput. 2016;28(12):2726\u201356.","DOI":"10.1162\/NECO_a_00895"},{"issue":"1","key":"9782_CR14","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s11063-016-9573-3","volume":"46","author":"CJ Xu","year":"2017","unstructured":"Xu CJ, Li PL. Pseudo almost periodic solutions for high-order Hopfield neural networks with time-varying leakage delays. Neural Process. Lett. 2017;46(1):41\u201358.","journal-title":"Neural Process. Lett."},{"issue":"10","key":"9782_CR15","doi-asserted-by":"crossref","first-page":"2328","DOI":"10.1162\/NECO_a_00642","volume":"26","author":"CJ Xu","year":"2014","unstructured":"Xu CJ, Zhang QM. On anti-periodic solutions for Cohen-Grossberg shunting inhibitory neural networks with time-varying delays and impulses. Neural Comput. 2014;26(10):2328\u201349.","journal-title":"Neural Comput."},{"key":"9782_CR16","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/j.jocs.2015.02.008","volume":"8","author":"CJ Xu","year":"2015","unstructured":"Xu CJ, Zhang QM. Existence and global exponential stability of anti-periodic solutions of high-order bidirectional associative memory (BAM) networks with time-varying delays on time scales. J Comput Sci. 2015;8:48\u201361.","journal-title":"J Comput Sci."},{"key":"9782_CR17","doi-asserted-by":"crossref","unstructured":"Xu CJ, Zhang QM. Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays. Netw:Comput Neural Syst. 2014;25(4):168-192.","DOI":"10.3109\/0954898X.2014.978406"},{"key":"9782_CR18","doi-asserted-by":"crossref","first-page":"113957","DOI":"10.1016\/j.eswa.2020.113957","volume":"165","author":"BT Li","year":"2021","unstructured":"Li BT, Pi DC, Lin YX. Learning ladder neural networks for semi-supervised node classification in social network. Expert Syst Appl. 2021;165:113957.","journal-title":"Expert Syst Appl."},{"key":"9782_CR19","doi-asserted-by":"crossref","first-page":"228821","DOI":"10.1016\/j.jpowsour.2020.228821","volume":"479","author":"JH Xu","year":"2020","unstructured":"Xu JH, Li XC, Meng XR, Qin JB, Liu H. Modeling and analysis of a single-phase fractional-order voltage source pulse width modulation rectifier. J Power Sources. 2020;479:228821.","journal-title":"J Power Sources."},{"key":"9782_CR20","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.neunet.2016.12.005","volume":"87","author":"R Manivannan","year":"2017","unstructured":"Manivannan R, Samidurai R, Cao JD, Alsaedi A, Alsaadi FE. Global exponential stability and dissipativity of generalized neural networks with time-varying delay signals. Neural Netw. 2017;87:149\u201359.","journal-title":"Neural Netw."},{"issue":"1\u20132","key":"9782_CR21","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.physleta.2005.10.056","volume":"351","author":"WW Yu","year":"2006","unstructured":"Yu WW, Cao JD. Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays. Phys Lett A. 2006;351(1\u20132):64\u201378.","journal-title":"Phys Lett A."},{"key":"9782_CR22","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/j.physa.2017.04.124","volume":"483","author":"YJ Gu","year":"2017","unstructured":"Gu YJ, Yu YG, Wang H. Synchronization-based parameter estimation of fractional-order neural networks. Phys A: Stat Mech Appl. 2017;483:351\u201361.","journal-title":"Phys A: Stat Mech Appl."},{"key":"9782_CR23","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1016\/j.cnsns.2017.10.009","volume":"57","author":"YD Ji","year":"2018","unstructured":"Ji YD, Lai L, Zhong SC, Zhang L. Bifurcation and chaos of a new discrete fractional-order logistic map. Commun Nonlinear Sci Numer Simul. 2018;57:352\u20138.","journal-title":"Commun Nonlinear Sci Numer Simul."},{"issue":"2","key":"9782_CR24","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/s11063-014-9368-3","volume":"42","author":"H Wang","year":"2015","unstructured":"Wang H, Yu YG, Wen GG, Zhang S. Stability analysis of fractional-order neural networks with time delay. Neural Process. Lett. 2015;42(2):479\u2013500.","journal-title":"Neural Process. Lett."},{"issue":"2","key":"9782_CR25","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/j.amc.2009.03.052","volume":"213","author":"HJ Hu","year":"2009","unstructured":"Hu HJ, Huang LH. Stability and Hopf bifurcation analysis on a ring of four neurons with delays. Appl Math Comput. 2009;213(2):587\u201399.","journal-title":"Appl Math Comput."},{"key":"9782_CR26","volume-title":"Fractional Differential Equations","author":"I Podlubny","year":"1999","unstructured":"Podlubny I. Fractional Differential Equations. New York: Academic Press; 1999."},{"key":"9782_CR27","unstructured":"Matignon D. Stability results for fractional differential equations with applications to control processing. Computational engineering in systems and application multi-conference, IMACS. In: IEEE-SMC Proceedings, Lille, 2; 1996. p.963-8. France; July 1996."},{"key":"9782_CR28","doi-asserted-by":"crossref","first-page":"103565","DOI":"10.1016\/j.mechrescom.2020.103565","volume":"108","author":"M Stoffel","year":"2020","unstructured":"Stoffel M, Bamer F, Markert B. Deep convolutional neural networks in structural dynamics under consideration of viscoplastic material behaviour. Mech Res Commun. 2020;108:103565.","journal-title":"Mech Res Commun."},{"key":"9782_CR29","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1016\/j.amc.2016.07.029","volume":"292","author":"CD Huang","year":"2017","unstructured":"Huang CD, Cao JD, Xiao M, Alsaedi A, Hayat T. Bifurcations in a delayed fractional complex-valued neural network. Appl Math Comput. 2017;292:210\u201327.","journal-title":"Appl Math Comput."},{"key":"9782_CR30","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1016\/j.neunet.2017.11.020","volume":"98","author":"CD Huang","year":"2018","unstructured":"Huang CD, Cao JD. Impact of leakage delay on bifurcation in high-order fractional BAM neural networks. Neural Netw. 2018;98:223\u201335.","journal-title":"Neural Netw."},{"key":"9782_CR31","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.chaos.2017.04.037","volume":"100","author":"CD Huang","year":"2017","unstructured":"Huang CD, Meng YJ, Cao JD, Alsaedi A, Alsaadi FE. New bifurcation results for fractional BAM neural network with leakage delay. Chaos, Solitons Fractals. 2017;100:31\u201344.","journal-title":"Chaos, Solitons Fractals"},{"key":"9782_CR32","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/j.matcom.2019.11.009","volume":"172","author":"S Eshaghi","year":"2020","unstructured":"Eshaghi S, Ghaziani RK, Ansari A. Hopf bifurcation, chaos control and synchronization of a chaotic fractional-order system with chaos entanglement function. Math Comput Simul. 2020;172:321\u201340.","journal-title":"Math Comput Simul."},{"key":"9782_CR33","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/j.cam.2018.04.018","volume":"343","author":"LN Liu","year":"2018","unstructured":"Liu LN, Deng FQ, Zhu QX. Mean square stability of two classes of theta methods for numerical computation and simulation of delayed stochastic Hopfield neural networks. J Comput Appl Math. 2018;343:428\u201347.","journal-title":"J Comput Appl Math."},{"key":"9782_CR34","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.chaos.2016.02.036","volume":"87","author":"CD Huang","year":"2016","unstructured":"Huang CD, Cao JD, Xiao M. Hybrid control on bifurcation for a delayed fractional gene regulatory network. Chaos, Solitons Fractals. 2016;87:19\u201329.","journal-title":"Chaos, Solitons Fractals"},{"issue":"9","key":"9782_CR35","doi-asserted-by":"crossref","first-page":"4819","DOI":"10.1109\/TAC.2017.2688583","volume":"62","author":"M Xiao","year":"2017","unstructured":"Xiao M, Jiang GP, Cao JD, Zheng WX. Local bifurcation analysis of a delayed fractional-order dynamic model of dual congestion control algorithms. IEEE Trans Auto Control. 2017;62(9):4819\u201326.","journal-title":"IEEE Trans Auto Control"},{"key":"9782_CR36","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/j.neucom.2017.09.018","volume":"275","author":"BB Tao","year":"2018","unstructured":"Tao BB, Xiao M, Sun QS, Cao JD. Hopf bifurcation analysis of a delayed fractional-order genetic regulatory network model. Neurocomputing. 2018;275:677\u201386.","journal-title":"Neurocomputing"},{"issue":"8","key":"9782_CR37","doi-asserted-by":"crossref","first-page":"1243","DOI":"10.1109\/TCSI.2016.2567639","volume":"63","author":"M Xiao","year":"2016","unstructured":"Xiao M, Zheng WX, Jiang GP, Cao JD. Stability and bifurcation analysis of arbitrarily high-dimensional genetic regulatory networks with hub structure and bidirectional coupling. IEEE Trans Circuits Syst I. 2016;63(8):1243\u201354.","journal-title":"IEEE Trans Circuits Syst I."},{"issue":"3","key":"9782_CR38","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1109\/TCYB.2017.2789331","volume":"49","author":"M Xiao","year":"2019","unstructured":"Xiao M, Zheng WX, Jiang GP. Bifurcation and oscillatory dynamics of delayed cyclic gene networks including small RNAs. IEEE Trans Cyb. 2019;49(3):883\u201396.","journal-title":"IEEE Trans Cyb."},{"issue":"12","key":"9782_CR39","doi-asserted-by":"crossref","first-page":"3201","DOI":"10.1109\/TNNLS.2015.2425734","volume":"26","author":"M Xiao","year":"2015","unstructured":"Xiao M, Zheng WX, Jiang GP, Cao JD. Undamped oscillations generated by Hopf bifurcations in fractional order recurrent neural networks with Caputo derivative. IEEE Trans Neural Netw Learn Syst. 2015;26(12):3201\u201314.","journal-title":"IEEE Trans Neural Netw Learn Syst."},{"key":"9782_CR40","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s13042-017-0707-3","volume":"10","author":"LZ Zhao","year":"2019","unstructured":"Zhao LZ, Cao JD, Huang CD, Xiao M, Alsaedi A, Ahmad B. Bifurcation control in the delayed fractional competive web-site model with incommensurate-order. Int J Mach Learn Cyb. 2019;10:173\u201386.","journal-title":"Int J Mach Learn Cyb."},{"issue":"1","key":"9782_CR41","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1109\/TAC.2016.2530041","volume":"62","author":"XD Li","year":"2017","unstructured":"Li XD, Song SJ. Stabilization of delay systems: delay-dependent impulsive control. IEEE Trans Aut Control. 2017;62(1):406\u201311.","journal-title":"IEEE Trans Aut Control"},{"key":"9782_CR42","doi-asserted-by":"crossref","first-page":"112633","DOI":"10.1016\/j.cam.2019.112633","volume":"370","author":"LL Huang","year":"2020","unstructured":"Huang LL, Park JH, Wu GC, Mo ZW. Variable-order fractional discrete-time recurrent neural networks. J Comput Appl Math. 2020;370:112633.","journal-title":"J Comput Appl Math."},{"issue":"6","key":"9782_CR43","doi-asserted-by":"crossref","first-page":"868","DOI":"10.1109\/TNNLS.2012.2236352","volume":"24","author":"XD Li","year":"2013","unstructured":"Li XD, Song SJ. Impulsive control for existence, uniqueness and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays. IEEE Trans Neural Netw Learn Syst. 2013;24(6):868\u201377.","journal-title":"IEEE Trans Neural Netw Learn Syst."},{"issue":"7","key":"9782_CR44","doi-asserted-by":"crossref","first-page":"2959","DOI":"10.1016\/j.jfranklin.2017.01.029","volume":"354","author":"QK Song","year":"2017","unstructured":"Song QK, Yang XJ, Li CD, Huang TW, Chen XF. Stability analysis of nonlinear fractional-order systems with variable-time impulses. J Franklin Inst. 2017;354(7):2959\u201378.","journal-title":"J Franklin Inst."},{"key":"9782_CR45","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.ijleo.2016.10.123","volume":"130","author":"W Hu","year":"2017","unstructured":"Hu W, Ding DW, Zhang YQ, Wang N, Liang D. Hopf bifurcation and chaos in a fractional order delayed memristor-based chaotic circuit system. Optik. 2017;130:189\u2013200.","journal-title":"Optik"},{"key":"9782_CR46","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.jare.2020.04.006","volume":"25","author":"ZM Han","year":"2020","unstructured":"Han ZM, Li SG, Liu H. Composite learning sliding mode synchronization of chaotic fractional-order neural networks. J. Adv. Res. 2020;25:87\u201396.","journal-title":"J. Adv. Res."},{"key":"9782_CR47","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1016\/j.automatica.2017.10.004","volume":"87","author":"QX Zhu","year":"2018","unstructured":"Zhu QX, Wang H. Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function. Automatica. 2018;87:166\u201375.","journal-title":"Automatica"},{"issue":"3","key":"9782_CR48","doi-asserted-by":"crossref","first-page":"2185","DOI":"10.1007\/s11071-017-3794-5","volume":"90","author":"Y Tang","year":"2017","unstructured":"Tang Y, Xiao M, Jiang GP, Lin JX, Cao JD, Zheng WX. Fractional-order PD control at Hopf bifurcations in a fractional-order congestion control system. Nonlinear Dyn. 2017;90(3):2185\u201398.","journal-title":"Nonlinear Dyn."},{"issue":"11","key":"9782_CR49","first-page":"1","volume":"132","author":"AW Ding","year":"2017","unstructured":"Ding AW, Qin X, Hu W, Wang N, Liang D. Chaos and Hopf bifurcation control in a fractional-order memristor-based chaotic system with time delay. Euro Phy J Plus. 2017;132(11):1\u201312.","journal-title":"Euro Phy J Plus"},{"issue":"1","key":"9782_CR50","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.mbs.2008.05.004","volume":"215","author":"M Xiao","year":"2008","unstructured":"Xiao M, Cao JD. Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays. Math Biosci. 2008;215(1):55\u201363.","journal-title":"Math Biosci."},{"key":"9782_CR51","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1016\/j.engappai.2019.06.025","volume":"85","author":"Z Aslipour","year":"2019","unstructured":"Aslipour Z, Yazdizadeh A. Identification of nonlinear systems using adaptive variable-order fractional neural networks (Case study: A wind turbine with practical results). Eng Appl Artif Intel. 2019;85:462\u201373.","journal-title":"Eng Appl Artif Intel."},{"issue":"2","key":"9782_CR52","first-page":"593","volume":"45","author":"JY Xiao","year":"2017","unstructured":"Xiao JY, Cao JD, Cheng J, Zhong SM, Wen SP. Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks. Infor Sci. 2017;45(2):593\u2013614.","journal-title":"Infor Sci."},{"issue":"1\u20132","key":"9782_CR53","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/s12064-016-0223-0","volume":"135","author":"P Song","year":"2016","unstructured":"Song P, Zhao HY, Zhang XB. Dynamic analysis of a fractional order delayed predator-prey system with harvesting. Theor Biosci. 2016;135(1\u20132):59\u201372.","journal-title":"Theor Biosci."},{"issue":"6","key":"9782_CR54","first-page":"1","volume":"21","author":"Z Zhang","year":"2019","unstructured":"Zhang Z, Zhang J, Cheng FY, Xu YB. Bifurcation analysis and stability criterion for the nonlinear fractional-order three-dimensional financial system with delay. Asian J Control. 2019;21(6):1\u201311.","journal-title":"Asian J Control"},{"issue":"2","key":"9782_CR55","doi-asserted-by":"crossref","first-page":"1117","DOI":"10.1016\/j.jmaa.2006.02.039","volume":"325","author":"K Gopalsamy","year":"2007","unstructured":"Gopalsamy K. Leakage delays in BAM. J Math Anal Appl. 2007;325(2):1117\u201332.","journal-title":"J Math Anal Appl."},{"key":"9782_CR56","first-page":"1","volume":"337","author":"Y Wang","year":"2017","unstructured":"Wang Y, Jiang JQ. Existence and nonexistence of positive solutions for the fractional coupled system involving generalized p-Laplacian. Adv Differ Equ. 2017;337:1\u201319.","journal-title":"Adv Differ Equ."},{"key":"9782_CR57","first-page":"1","volume":"7","author":"YQ Wang","year":"2017","unstructured":"Wang YQ, Liu LS. Positive solutions for a class of fractional 3-point boundary value problems at resonance. Adv Differ Equ. 2017;7:1\u201313.","journal-title":"Adv Differ Equ."},{"key":"9782_CR58","doi-asserted-by":"crossref","unstructured":"Kumar M, Rajeev KNR. A study of fractional order dual-phase-lag bioheat transfer model. J Thermal Biol. 2020;93:102661.","DOI":"10.1016\/j.jtherbio.2020.102661"},{"key":"9782_CR59","first-page":"1","volume":"161","author":"MY Zuo","year":"2017","unstructured":"Zuo MY, Hao XA, Liu LS, Cui YJ. Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions. Bound Value Probl. 2017;161:1\u201315.","journal-title":"Bound Value Probl."},{"issue":"10","key":"9782_CR60","doi-asserted-by":"crossref","first-page":"3676","DOI":"10.1002\/mma.4254","volume":"40","author":"QH Feng","year":"2017","unstructured":"Feng QH, Meng FW. Traveling wave solutions for fractional partial differential equations arising in mathematical physics by an improved fractional Jacobi elliptic equation method. Math Meth Appl Sci. 2017;40(10):3676\u201386.","journal-title":"Math Meth Appl Sci"},{"key":"9782_CR61","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.matcom.2020.03.002","volume":"174","author":"J Liu","year":"2020","unstructured":"Liu J, Jian JG, Wang BX. Stability analysis for BAM quaternion-valued inertial neural networks with time delay via nonlinear measure approach. Math Comput Simul. 2020;174:134\u201352.","journal-title":"Math Comput Simul."},{"key":"9782_CR62","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.aml.2016.10.015","volume":"66","author":"XG Zhang","year":"2017","unstructured":"Zhang XG, Liu LS, Wu YH, Wiwatanapataphee B. Nontrivial solutions for a fractional advection dispersion equationin anomalous diffusion. Appl Math Lett. 2017;66:1\u20138.","journal-title":"Appl Math Lett."},{"issue":"1","key":"9782_CR63","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.jmaa.2018.01.060","volume":"462","author":"J Zhang","year":"2018","unstructured":"Zhang J, Lou ZL, Jia YJ, Shao W. Ground state of Kirchhoff type fractional Schr\u00f6dinger equations with critical growth. J Math Anal Appl. 2018;462(1):57\u201383.","journal-title":"J Math Anal Appl."},{"key":"9782_CR64","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1186\/s13661-016-0741-1","volume":"2017","author":"Y Wang","year":"2017","unstructured":"Wang Y, Liu LS. Uniqueness and existence of positive solutions for the fractional integro-differential equation. Bound Value Probl. 2017;2017:12. https:\/\/doi.org\/10.1186\/s13661-016-0741-1.","journal-title":"Bound Value Probl."},{"key":"9782_CR65","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/j.aml.2016.05.010","volume":"61","author":"B Zhu","year":"2016","unstructured":"Zhu B, Liu LS, Wu YH. Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equation with delay. Appl Math Lett. 2016;61:73\u20139.","journal-title":"Appl Math Lett."},{"key":"9782_CR66","doi-asserted-by":"crossref","first-page":"104853","DOI":"10.1016\/j.cnsns.2019.104853","volume":"78","author":"M Syed AliG","year":"2019","unstructured":"Syed AliG M, Narayanan G, Sevgen S, Shekher V, Arik S. Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects. Commun Nonlinear Sci Numer Simul. 2019;78:104853.","journal-title":"Commun Nonlinear Sci Numer Simul."},{"key":"9782_CR67","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.sysconle.2018.05.015","volume":"118","author":"QX Zhu","year":"2018","unstructured":"Zhu QX. Stability analysis of stochastic delay differential equations with L\u00e9vy noise. Syst Cont Lett. 2018;118:62\u20138.","journal-title":"Syst Cont Lett."},{"key":"9782_CR68","doi-asserted-by":"crossref","unstructured":"Kong FC, Zhu QX, Sakthivel R. Finite-time and fixed-time synchronization analysis of fuzzy CohenCGrossberg neural networks with discontinuous activations and parameter uncertainties. Eur J Control (2020) in press.","DOI":"10.1016\/j.ejcon.2020.03.003"},{"key":"9782_CR69","doi-asserted-by":"crossref","first-page":"104699","DOI":"10.1016\/j.sysconle.2020.104699","volume":"140","author":"QX Zhu","year":"2020","unstructured":"Zhu QX, Huang TW. Stability analysis for a class of stochastic delay nonlinear systems driven by G-Brownian motion. Syst Cont Lett. 2020;140:104699.","journal-title":"Syst Cont Lett."},{"issue":"6","key":"9782_CR70","doi-asserted-by":"crossref","first-page":"878","DOI":"10.1049\/iet-cta.2019.0976","volume":"14","author":"H Wang","year":"2020","unstructured":"Wang H, Zhu QX. Adaptive state feedback stabilisation for more general switched stochastic non-linear systems under arbitrary switchings. IET Cont Theory Appl. 2020;14(6):878\u201386.","journal-title":"IET Cont Theory Appl."},{"issue":"3","key":"9782_CR71","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1109\/TCYB.2017.2789331","volume":"49","author":"M Xiao","year":"2019","unstructured":"Xiao M, Zheng WX, Jiang GP. Bifurcation and oscillatory dynamics of delayed cyclic gene networks including small RNAs. IEEE Trans Cyber. 2019;49(3):883\u201396.","journal-title":"IEEE Trans Cyber."},{"issue":"8","key":"9782_CR72","first-page":"1243","volume":"63","author":"M Xiao","year":"2016","unstructured":"Xiao M, Zheng WX, Jiang GP, Cao JD. Stability and bifurcation analysis of arbitrarily high-dimensional genetic regulatory networks with hub structure and bidirectional coupling IEEE Trans Circuits Syst I. 2016;63(8):1243\u201354.","journal-title":"Stability and bifurcation analysis of arbitrarily high-dimensional genetic regulatory networks with hub structure and bidirectional coupling IEEE Trans Circuits Syst I."}],"container-title":["Cognitive Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-020-09782-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12559-020-09782-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-020-09782-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,12]],"date-time":"2022-12-12T01:04:55Z","timestamp":1670807095000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12559-020-09782-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,18]]},"references-count":72,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,3]]}},"alternative-id":["9782"],"URL":"https:\/\/doi.org\/10.1007\/s12559-020-09782-w","relation":{},"ISSN":["1866-9956","1866-9964"],"issn-type":[{"value":"1866-9956","type":"print"},{"value":"1866-9964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,18]]},"assertion":[{"value":"27 February 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 October 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 January 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with Ethical Standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical Approval"}}]}}