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Wang, Z. Duan, M. Perc, and G. Chen, \u201cSynchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability,\u201d EPL (Europhysics Letters), vol.83, no.5, p.50008, 2008. 10.1209\/0295-5075\/83\/50008","DOI":"10.1209\/0295-5075\/83\/50008"},{"key":"2","doi-asserted-by":"crossref","unstructured":"[2] Q. Wang, M. Perc, Z. Duan, and G. Chen, \u201cSynchronization transitions on scale-free neuronal networks due to finite information transmission delays,\u201d Phys. Rev. E, vol.80, no.2, p.026206, 2009. 10.1103\/physreve.80.026206","DOI":"10.1103\/PhysRevE.80.026206"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] Q. Wang, G. Chen, and M. Perc, \u201cSynchronous bursts on scale-free neuronal networks with attractive and repulsive coupling,\u201d PLoS ONE, vol.6, no.1, p.e15851, 2011. 10.1371\/journal.pone.0015851","DOI":"10.1371\/journal.pone.0015851"},{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] S. Majhi, M. Perc, and D. Ghosh, \u201cChimera states in uncoupled neurons induced by a multilayer structure,\u201d Sci. Rep., vol.6, 2016. 10.1038\/srep39033","DOI":"10.1038\/srep39033"},{"key":"5","doi-asserted-by":"crossref","unstructured":"[5] J. Hizanidis, N.E. Kouvaris, Z.L. Gorka, A. D\u00edaz-Guilera, and C.G. Antonopoulos, \u201cChimera-like states in modular neural networks,\u201d Sci. Rep., vol.6, p.19845, 2016. 10.1038\/srep19845","DOI":"10.1038\/srep19845"},{"key":"6","doi-asserted-by":"crossref","unstructured":"[6] B.K. Bera, D. Ghosh, and T. Banerjee, \u201cImperfect traveling chimera states induced by local synaptic gradient coupling,\u201d Phys. Rev. E, vol.94, no.1, p.012215, 2016. 10.1103\/physreve.94.012215","DOI":"10.1103\/PhysRevE.94.012215"},{"key":"7","unstructured":"[8] V.S. Anishchenko, V. Astakhov, A. Neiman, T. Vadivasova, and L. Schimansky-Geier, Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments, Springer Science &amp; Business Media, 2007. 10.1007\/978-3-540-38168-6"},{"key":"8","doi-asserted-by":"crossref","unstructured":"[9] S. Rajasekar and M.A. Sanjuan, Nonlinear Resonances, Springer, 2016. 10.1007\/978-3-319-24886-8","DOI":"10.1007\/978-3-319-24886-8"},{"key":"9","doi-asserted-by":"crossref","unstructured":"[10] R. Benzi, A. Sutera, and A. Vulpiani, \u201cThe mechanism of stochastic resonance,\u201d J. Phys. A: Math. Gen., vol.14, no.11, pp.L453-L457, 1981. 10.1088\/0305-4470\/14\/11\/006","DOI":"10.1088\/0305-4470\/14\/11\/006"},{"key":"10","doi-asserted-by":"crossref","unstructured":"[11] G.P. Harmer, B.R. Davis, and D. Abbott, \u201cA review of stochastic resonance: Circuits and measurement,\u201d IEEE Trans. Instrum. Meas., vol.51, no.2, pp.299-309, 2002. 10.1109\/19.997828","DOI":"10.1109\/19.997828"},{"key":"11","doi-asserted-by":"publisher","unstructured":"[12] F. Moss and K. Wiesenfeld, \u201cThe benefits of background noise,\u201d Sci. Am., vol.273, no.2, pp.66-69, 1995. 10.1038\/scientificamerican0895-66","DOI":"10.1038\/scientificamerican0895-66"},{"key":"12","doi-asserted-by":"crossref","unstructured":"[13] P. H\u00e4nggi, \u201cStochastic resonance in biology how noise can enhance detection of weak signals and help improve biological information processing,\u201d ChemPhysChem, vol.3, no.3, pp.285-290, 2002. 10.1002\/1439-7641(20020315)3:3%3C285::AID-CPHC285%3E3.0.CO;2-A","DOI":"10.1002\/1439-7641(20020315)3:3<285::AID-CPHC285>3.0.CO;2-A"},{"key":"13","doi-asserted-by":"crossref","unstructured":"[14] T. Mori and S. Kai, \u201cNoise-induced entrainment and stochastic resonance in human brain waves,\u201d Phys. Rev. Lett., vol.88, no.21, p.218101, 2002. 10.1103\/physrevlett.88.218101","DOI":"10.1103\/PhysRevLett.88.218101"},{"key":"14","doi-asserted-by":"crossref","unstructured":"[15] M.D. McDonnell and L.M. Ward, \u201cThe benefits of noise in neural systems: bridging theory and experiment,\u201d Nat. Rev. Neurosci., vol.12, no.7, pp.415-426, 2011. 10.1038\/nrn3061","DOI":"10.1038\/nrn3061"},{"key":"15","doi-asserted-by":"publisher","unstructured":"[16] S. Nobukawa and H. Nishimura, \u201cEnhancement of spike-timing-dependent plasticity in spiking neural systems with noise,\u201d Int. J. Neural Syst., vol.26, no.5, p.1550040, 2016. 10.1142\/s0129065715500409","DOI":"10.1142\/S0129065715500409"},{"key":"16","doi-asserted-by":"publisher","unstructured":"[17] S. Nobukawa, R. Hashimoto, H. Nishimura, T. Yamanishi, and M. Chiba, \u201cNoise-induced phenomena in the Kaldor business cycle model,\u201d Trans. ISCIE, vol.30, no.12, pp.459-466, 2017. 10.5687\/iscie.30.459","DOI":"10.5687\/iscie.30.459"},{"key":"17","doi-asserted-by":"publisher","unstructured":"[18] H. Nishimura, N. Katada, and K. Aihara, \u201cCoherent response in a chaotic neural network,\u201d Neural Process. Lett., vol.12, no.1, pp.49-58, 2000. 10.1023\/a:1009626028831","DOI":"10.1023\/A:1009626028831"},{"key":"18","unstructured":"[19] V.S. Anishchenko, V. Astakhov, A. Neiman, T. Vadivasova, and L. Schimansky-Geier, Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments, Springer Science &amp; Business Media, 2007. 10.1007\/978-3-540-38168-6"},{"key":"19","doi-asserted-by":"publisher","unstructured":"[20] Q. Li, H. Zeng, and X.S. Yang, \u201cOn hidden twin attractors and bifurcation in the Chua&apos;s circuit,\u201d Nonlinear Dynam., vol.77, no.1-2, pp.255-266, 2014. 10.1007\/s11071-014-1290-8","DOI":"10.1007\/s11071-014-1290-8"},{"key":"20","doi-asserted-by":"crossref","unstructured":"[21] S. Nobukawa, H. Nishimura, and T. Yamanishi, \u201cEvaluation of chaotic resonance by Lyapunov exponent in attractor-merging type systems,\u201d International Conference on Neural Information Processing, pp.430-437, Springer, 2016. 10.1007\/978-3-319-46687-3_48","DOI":"10.1007\/978-3-319-46687-3_48"},{"key":"21","doi-asserted-by":"crossref","unstructured":"[22] G.L. Baker, G.L. Baker, and J.P. Gollub, Chaotic Dynamics: An Introduction, Cambridge University Press, 1996. 10.1017\/cbo9781139170864","DOI":"10.1017\/CBO9781139170864"},{"key":"22","doi-asserted-by":"crossref","unstructured":"[23] I. Kovacic and M.J. Brennan, The Duffing Equation: Nonlinear Oscillators and Their Behaviour, John Wiley &amp; Sons, 2011. 10.1002\/9780470977859","DOI":"10.1002\/9780470977859"},{"key":"23","doi-asserted-by":"crossref","unstructured":"[24] S.H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, CRC Press, 2018. 10.1201\/9780429492563","DOI":"10.1201\/9780429492563"},{"key":"24","doi-asserted-by":"crossref","unstructured":"[25] N. Schweighofer, K. Doya, H. Fukai, J.V. Chiron, T. Furukawa, and M. Kawato, \u201cChaos may enhance information transmission in the inferior olive,\u201d Proc. National Academy of Sciences of the United States of America, vol.101, no.13, pp.4655-4660, 2004. 10.1073\/pnas.0305966101","DOI":"10.1073\/pnas.0305966101"},{"key":"25","doi-asserted-by":"publisher","unstructured":"[26] I.T. Tokuda, C.E. Han, K. Aihara, M. Kawato, and N. Schweighofer, \u201cThe role of chaotic resonance in cerebellar learning,\u201d Neural Networks, vol.23, no.7, pp.836-842, 2010. 10.1016\/j.neunet.2010.04.006","DOI":"10.1016\/j.neunet.2010.04.006"},{"key":"26","unstructured":"[27] S. Nobukawa and H. Nishimura, \u201cSignal response in Velarde-Llin\u00e1s model of inferior olive neuron,\u201d IEICE Trans. Fundamentals (Japanese Edition), vol.J96-A, no.1, pp.1-11, Jan. 2013."},{"key":"27","doi-asserted-by":"publisher","unstructured":"[28] S. Nobukawa, H. Nishimura, T. Yamanishi, and J.Q. Liu, \u201cAnalysis of chaotic resonance in Izhikevich neuron model,\u201d PloS ONE, vol.10, no.9, p.e0138919, 2015. 10.1371\/journal.pone.0138919","DOI":"10.1371\/journal.pone.0138919"},{"key":"28","doi-asserted-by":"publisher","unstructured":"[29] S. Nobukawa and H. Nishimura, \u201cChaotic resonance in coupled inferior olive neurons with the Llin\u00e1s approach neuron model,\u201d Neural Comput., vol.28, no.11, pp.2505-2532, Nov. 2016. 10.1162\/neco_a_00894","DOI":"10.1162\/NECO_a_00894"},{"key":"29","doi-asserted-by":"publisher","unstructured":"[30] S. Nobukawa, H. Nishimura, and T. Yamanishi, \u201cChaotic resonance in typical routes to chaos in the Izhikevich neuron model,\u201d Sci. Rep., vol.7, p.1331, 2017. 10.1038\/s41598-017-01511-y","DOI":"10.1038\/s41598-017-01511-y"},{"key":"30","doi-asserted-by":"publisher","unstructured":"[31] Y. Kurita, M. Shinohara, and J. Ueda, \u201cWearable sensorimotor enhancer for fingertip based on stochastic resonance effect,\u201d IEEE Trans. Human-Mach. Syst., vol.43, no.3, pp.333-337, 2013. 10.1109\/tsmc.2013.2242886","DOI":"10.1109\/TSMC.2013.2242886"},{"key":"31","doi-asserted-by":"publisher","unstructured":"[32] L.R. Enders, P. Hur, M.J. Johnson, and N.J. Seo, \u201cRemote vibrotactile noise improves light touch sensation in stroke survivors&apos; fingertips via stochastic resonance,\u201d J. NeuroEngineering and Rehabilitation, vol.10, no.1, p.105, 2013. 10.1186\/1743-0003-10-105","DOI":"10.1186\/1743-0003-10-105"},{"key":"32","doi-asserted-by":"crossref","unstructured":"[33] N.J. Seo, M.L. Kosmopoulos, L.R. Enders, and P. Hur, \u201cEffect of remote sensory noise on hand function post stroke,\u201d Front. Hum. Neurosci., vol.8, p.934, 2014. 10.3389\/fnhum.2014.00934","DOI":"10.3389\/fnhum.2014.00934"},{"key":"33","doi-asserted-by":"publisher","unstructured":"[34] Y. Kurita, Y. Sueda, T. Ishikawa, M. Hattori, H. Sawada, H. Egi, H. Ohdan, J. Ueda, and T. Tsuji, \u201cSurgical grasping forceps with enhanced sensorimotor capability via the stochastic resonance effect,\u201d IEEE\/ASME Trans. Mechatronics, vol.21, no.6, pp.2624-2634, 2016. 10.1109\/tmech.2016.2591591","DOI":"10.1109\/TMECH.2016.2591591"},{"key":"34","doi-asserted-by":"publisher","unstructured":"[35] Y. Tadokoro, H. Tanaka, Y. Nakashima, T. Yamazato, and S. Arai, \u201cEnhancing a BPSK receiver by employing a practical parallel network with stochastic resonance,\u201d Nonlinear Theory and Its Applications, IEICE, vol.10, no.1, pp.106-114, 2019. 10.1587\/nolta.10.106","DOI":"10.1587\/nolta.10.106"},{"key":"35","doi-asserted-by":"publisher","unstructured":"[36] O. Van der Groen, M.F. Tang, N. Wenderoth, and J.B. Mattingley, \u201cStochastic resonance enhances the rate of evidence accumulation during combined brain stimulation and perceptual decision-making,\u201d PLoS Comput. Biol., vol.14, no.7, p.e1006301, 2018. 10.1371\/journal.pcbi.1006301","DOI":"10.1371\/journal.pcbi.1006301"},{"key":"36","unstructured":"[37] S. Nobukawa, H. Nishimura, and N. Katada, \u201cChaotic resonance by chaotic attractors merging in discrete cubic map and chaotic neural network,\u201d IEICE Trans. Fundamentals (Japanese Edition), vol.J95-A, no.4, pp.357-366, April 2012."},{"key":"37","doi-asserted-by":"publisher","unstructured":"[38] S. Nobukawa, H. Nishimura, T. Yamanishi, and H. Doho, \u201cControlling chaotic resonance in systems with chaos-chaos intermittency using external feedback,\u201d IEICE Trans. Fundamentals, vol.E101-A, no.11, pp.1900-1906, Nov. 2018. 10.1587\/transfun.e101.a.1900","DOI":"10.1587\/transfun.E101.A.1900"},{"key":"38","doi-asserted-by":"crossref","unstructured":"[39] E. Ott, C. Grebogi, and J.A. Yorke, \u201cControlling chaos,\u201d Phys. Rev. Lett., vol.64, no.11, pp.1196-1199, 1990. 10.1103\/physrevlett.64.1196","DOI":"10.1103\/PhysRevLett.64.1196"},{"key":"39","doi-asserted-by":"publisher","unstructured":"[40] K. Pyragas, \u201cContinuous control of chaos by self-controlling feedback,\u201d Phys. Lett. A, vol.170, no.6, pp.421-428, 1992. 10.1016\/0375-9601(92)90745-8","DOI":"10.1016\/0375-9601(92)90745-8"},{"key":"40","doi-asserted-by":"crossref","unstructured":"[41] H. Nakajima, \u201cOn analytical properties of delayed feedback control of chaos,\u201d Phys. Lett. A, vol.232, no.3-4, pp.207-210, 1997. 10.1016\/s0375-9601(97)00362-9","DOI":"10.1016\/S0375-9601(97)00362-9"},{"key":"41","doi-asserted-by":"publisher","unstructured":"[42] W. Jiang, Q. Guo-Dong, and D. Bin, \u201cH<sup>\u221e<\/sup> variable universe adaptive fuzzy control for chaotic system,\u201d Chaos, Solitons &amp; Fractals, vol.24, no.4, pp.1075-1086, 2005. 10.1016\/j.chaos.2004.09.056","DOI":"10.1016\/j.chaos.2004.09.056"},{"key":"42","doi-asserted-by":"publisher","unstructured":"[43] S. Nobukawa, H. Nishimura, T. Yamanishi, and H. Doho, \u201cInduced synchronization of chaos-chaos intermittency maintaining asynchronous state of chaotic orbits by external feedback signals,\u201d IEICE Trans. Fundamentals, vol.E102-A, no.3, pp.524-531, March 2019. 10.1587\/transfun.e102.a.524","DOI":"10.1587\/transfun.E102.A.524"},{"key":"43","doi-asserted-by":"publisher","unstructured":"[44] S. Nobukawa and N. Shibata, \u201cControlling chaotic resonance using external feedback signals in neural systems,\u201d Sci. Rep., vol.9, no.1, p.4990, 2019. 10.1038\/s41598-019-41535-0","DOI":"10.1038\/s41598-019-41535-0"},{"key":"44","doi-asserted-by":"publisher","unstructured":"[45] S. Nobukawa, N. Shibata, H. Nishimura, H. Doho, N. Wagatsuma, and T. Yamanishi, \u201cResonance phenomena controlled by external feedback signals and additive noise in neural systems,\u201d Sci. Rep., vol.9, p.12630, 2019. 10.1038\/s41598-019-48950-3","DOI":"10.1038\/s41598-019-48950-3"},{"key":"45","unstructured":"[46] S. Nobukawa, N. Shibata, A. Miyazaki, H. Nishimura, T. Yamanishi, and H. Doho, \u201cChaos-chaos intermittency controlled by external feedback signals in Chua&apos;s circuit,\u201d Proc. SICE Annual Conference 2019, FrC03.3, 2019."},{"key":"46","unstructured":"[47] L.O. Chua, Introduction to Nonlinear Network Theory, McGraw-Hill, 1969."},{"key":"47","doi-asserted-by":"publisher","unstructured":"[48] G. Leonov, N. Kuznetsov, and V. Vagaitsev, \u201cLocalization of hidden Chua&apos;s attractors,\u201d Phys. Lett. A, vol.375, no.23, pp.2230-2233, 2011. 10.1016\/j.physleta.2011.04.037","DOI":"10.1016\/j.physleta.2011.04.037"},{"key":"48","doi-asserted-by":"publisher","unstructured":"[49] S. Sinha and B.K. Chakrabarti, \u201cDeterministic stochastic resonance in a piecewise linear chaotic map,\u201d Phys. Rev. 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