{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T11:25:02Z","timestamp":1725881102283},"publisher-location":"Cham","reference-count":31,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319502489"},{"type":"electronic","value":"9783319502496"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-50249-6_24","type":"book-chapter","created":{"date-parts":[[2017,2,28]],"date-time":"2017-02-28T07:13:06Z","timestamp":1488265986000},"page":"699-718","source":"Crossref","is-referenced-by-count":2,"title":["A New Fractional-Order Jerk System and Its Hybrid Synchronization"],"prefix":"10.1007","author":[{"given":"Abir","family":"Lassoued","sequence":"first","affiliation":[]},{"given":"Olfa","family":"Boubaker","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,3,1]]},"reference":[{"key":"24_CR1","doi-asserted-by":"crossref","unstructured":"Ahmad, M., Khan, I.\u00a0R., & Alam, S. (2015). Cryptanalysis of image encryption algorithm based on fractional-order lorenz-like chaotic system. In \u2018Emerging ICT for Bridging the Future-Proceedings of the 49th Annual Convention of the Computer Society of India CSI\u2019 (Vol.\u00a02, pp.\u00a0381\u2013388).","DOI":"10.1007\/978-3-319-13731-5_41"},{"issue":"01","key":"24_CR2","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1142\/S012918311650008X","volume":"27","author":"E Campos-Cant\u00f3n","year":"2016","unstructured":"Campos-Cant\u00f3n, E. (2016). Chaotic attractors based on unstable dissipative systems via third-order differential equation. International Journal of Modern Physics C, 27(01), 11.","journal-title":"International Journal of Modern Physics C"},{"key":"24_CR3","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.1016\/j.neucom.2015.09.003","volume":"173","author":"X Chen","year":"2016","unstructured":"Chen, X., Qiu, J., Cao, J., & He, H. (2016). Hybrid synchronization behavior in an array of coupled chaotic systems with ring connection. Neurocomputing, 173, 1299\u20131309.","journal-title":"Neurocomputing"},{"key":"24_CR4","first-page":"7","volume":"2013","author":"X Chen","year":"2013","unstructured":"Chen, X., Qiu, J., Song, Q., & Zhang, A. (2013). Synchronization of coupled chaotic systems with ring connection based on special antisymmetric structure. Abstract and Applied Analysis, 2013, 7.","journal-title":"Abstract and Applied Analysis"},{"issue":"05","key":"24_CR5","first-page":"11","volume":"25","author":"X Chen","year":"2014","unstructured":"Chen, X., Wang, C., & Qiu, J. (2014). Synchronization and anti-synchronization of n different coupled chaotic systems with ring connection. International Journal of Modern Physics C, 25(05), 11.","journal-title":"International Journal of Modern Physics C"},{"issue":"21","key":"24_CR6","first-page":"1021","volume":"4","author":"M Dalir","year":"2010","unstructured":"Dalir, M., & Bashour, M. (2010). Applications of fractional calculus. Applied Mathematical Sciences, 4(21), 1021\u20131032.","journal-title":"Applied Mathematical Sciences"},{"issue":"2","key":"24_CR7","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1006\/jmaa.2000.7194","volume":"265","author":"K Diethelm","year":"2002","unstructured":"Diethelm, K., & Ford, N. J. (2002). Analysis of fractional differential equations. Journal of Mathematical Analysis and Applications, 265(2), 229\u2013248.","journal-title":"Journal of Mathematical Analysis and Applications"},{"issue":"5","key":"24_CR8","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1119\/1.18276","volume":"64","author":"H Gottlieb","year":"1996","unstructured":"Gottlieb, H. (1996). What is the simplest jerk function that gives chaos? American Journal of Physics, 64(5), 525\u2013525.","journal-title":"American Journal of Physics"},{"key":"24_CR9","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1155\/2010\/375858","volume":"2010","author":"RE Guti\u00e9rrez","year":"2010","unstructured":"Guti\u00e9rrez, R. E., Ros\u00e1rio, J. M., & Tenreiro Machado, J. (2010). Fractional order calculus: Basic concepts and engineering applications. Mathematical Problems in Engineering, 2010, 19.","journal-title":"Mathematical Problems in Engineering"},{"key":"24_CR10","first-page":"1","volume":"2","author":"B Henry","year":"2012","unstructured":"Henry, B., Lovell, N., & Camacho, F. (2012). Nonlinear dynamics time series analysis. Nonlinear Biomedical Signal Processing: Dynamic Analysis and Modeling, 2, 1\u201339.","journal-title":"Nonlinear Biomedical Signal Processing: Dynamic Analysis and Modeling"},{"issue":"2","key":"24_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s13319-015-0045-8","volume":"6","author":"I Hussain","year":"2015","unstructured":"Hussain, I., Alqahtani, A., & Gondal, M. A. (2015). An efficient method for secure communication of biometric information based on chaos. 3D Research, 6(2), 1\u20137.","journal-title":"3D Research"},{"issue":"24","key":"24_CR12","first-page":"7","volume":"62","author":"H Jian-Bing","year":"2013","unstructured":"Jian-Bing, H., & Ling-Dong, Z. (2013). Stability theorem and control of fractional systems. Acta Physica Sinica, 62(24), 7.","journal-title":"Acta Physica Sinica"},{"key":"24_CR13","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/j.optcom.2014.10.049","volume":"338","author":"J Lang","year":"2015","unstructured":"Lang, J. (2015). Color image encryption based on color blend and chaos permutation in the reality-preserving multiple-parameter fractional fourier transform domain. Optics Communications, 338, 181\u2013192.","journal-title":"Optics Communications"},{"key":"24_CR14","doi-asserted-by":"crossref","unstructured":"Lassoued, A., & Boubaker, O. (2016). Hybrid synchronization of multiple fractional-order chaotic systems with ring connection. In The 8 International Conference On Modelling, Identification and Control.","DOI":"10.1109\/ICMIC.2016.7804282"},{"key":"24_CR15","doi-asserted-by":"crossref","unstructured":"Lassoued, A., & Boubaker, O. (2016). On new chaotic and hyperchaotic systems: A literature survey. Nonlinear Analysis: Modelling and Control, 21(6), 770\u2013789.","DOI":"10.15388\/NA.2016.6.3"},{"key":"24_CR16","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.1007\/s10483-008-1005-y","volume":"29","author":"Y Liu","year":"2008","unstructured":"Liu, Y., & L\u00fc, L. (2008). Synchronization of n different coupled chaotic systems with ring and chain connections. Applied Mathematics and Mechanics, 29, 1299\u20131308.","journal-title":"Applied Mathematics and Mechanics"},{"key":"24_CR17","unstructured":"Matignon, D. (1996). Stability results for fractional differential equations with applications to control processing. In Computational engineering in systems applications (Vol.\u00a02, , pp.\u00a0963\u2013968). WSEAS Press."},{"issue":"3","key":"24_CR18","doi-asserted-by":"crossref","first-page":"1292","DOI":"10.1016\/j.cnsns.2011.07.027","volume":"17","author":"H Mkaouar","year":"2012","unstructured":"Mkaouar, H., & Boubaker, O. (2012). Chaos synchronization for master slave piecewise linear systems: Application to chuas circuit. Communications in Nonlinear Science and Numerical Simulation, 17(3), 1292\u20131302.","journal-title":"Communications in Nonlinear Science and Numerical Simulation"},{"issue":"05","key":"24_CR19","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.1142\/S0218127410027076","volume":"20","author":"B Muthuswamy","year":"2010","unstructured":"Muthuswamy, B., & Chua, L. O. (2010). Simplest chaotic circuit. International Journal of Bifurcation and Chaos, 20(05), 1567\u20131580.","journal-title":"International Journal of Bifurcation and Chaos"},{"key":"24_CR20","doi-asserted-by":"crossref","unstructured":"Ouannas, A., Azar, A.\u00a0T., & Abu-Saris, R. (2016). A new type of hybrid synchronization between arbitrary hyperchaotic maps. International Journal of Machine Learning and Cybernetics, 1\u20138.","DOI":"10.1007\/s13042-016-0566-3"},{"issue":"3","key":"24_CR21","doi-asserted-by":"crossref","first-page":"2059","DOI":"10.1007\/s11071-013-0922-8","volume":"73","author":"L Pan","year":"2013","unstructured":"Pan, L., Zhou, L., & Li, D. (2013). Synchronization of three-scroll unified chaotic system and its hyper-chaotic system using active pinning control. Nonlinear Dynamics, 73(3), 2059\u20132071.","journal-title":"Nonlinear Dynamics"},{"key":"24_CR22","doi-asserted-by":"crossref","unstructured":"Petr\u00e1\u0161, I. (2011). Fractional-order chaotic systems. In Fractional-order nonlinear systems (pp.\u00a0103\u2013184). Springer.","DOI":"10.1007\/978-3-642-18101-6_5"},{"key":"24_CR23","volume-title":"Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications","author":"I Podlubny","year":"1998","unstructured":"Podlubny, I. (1998). Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications (Vol. 198). New York: Academic press."},{"issue":"2","key":"24_CR24","doi-asserted-by":"crossref","first-page":"R647","DOI":"10.1103\/PhysRevE.50.R647","volume":"50","author":"J Sprott","year":"1994","unstructured":"Sprott, J. (1994). Some simple chaotic flows. Physical Review E, 50(2), R647.","journal-title":"Physical Review E"},{"issue":"1","key":"24_CR25","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/S0375-9601(00)00026-8","volume":"266","author":"JC Sprott","year":"2000","unstructured":"Sprott, J. C. (2000). A new class of chaotic circuit. Physics Letters A, 266(1), 19\u201323.","journal-title":"Physics Letters A"},{"issue":"1","key":"24_CR26","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1016\/j.physleta.2007.05.081","volume":"367","author":"MS Tavazoei","year":"2007","unstructured":"Tavazoei, M. S., & Haeri, M. (2007). A necessary condition for double scroll attractor existence in fractional-order systems. Physics Letters A, 367(1), 102\u2013113.","journal-title":"Physics Letters A"},{"key":"24_CR27","doi-asserted-by":"crossref","unstructured":"Vaidyanathan, S., & Azar, A.\u00a0T. (2015). Anti-synchronization of identical chaotic systems using sliding mode control and an application to vaidyanathan\u2013madhavan chaotic systems. In Advances and applications in sliding mode control systems (pp.\u00a0527\u2013547). Springer.","DOI":"10.1007\/978-3-319-11173-5_19"},{"key":"24_CR28","doi-asserted-by":"crossref","unstructured":"Vaidyanathan, S., & Azar, A.\u00a0T. (2015). Hybrid synchronization of identical chaotic systems using sliding mode control and an application to vaidyanathan chaotic systems. In Advances and applications in sliding mode control systems (pp. 549\u2013569). Springer.","DOI":"10.1007\/978-3-319-11173-5_20"},{"key":"24_CR29","doi-asserted-by":"crossref","unstructured":"Vaidyanathan, S., & Azar, A.\u00a0T. (2016). Adaptive backstepping control and synchronization of a novel 3-d jerk system with an exponential nonlinearity. In Advances in chaos theory and intelligent control (pp.\u00a0249\u2013274). Springer.","DOI":"10.1007\/978-3-319-30340-6_11"},{"key":"24_CR30","doi-asserted-by":"crossref","unstructured":"Vaidyanathan, S., & Rasappan, S. (2011). Hybrid synchronization of hyperchaotic qi and l\u00fc systems by nonlinear control. In Advances in computer science and information technology (pp.\u00a0585\u2013593). Springer.","DOI":"10.1007\/978-3-642-17857-3_58"},{"key":"24_CR31","doi-asserted-by":"crossref","unstructured":"Wen, T., Fengling, J., Xianqun, L., Xun, L. J., & Feng, W. (2011). Synchronization of fractional-order chaotic system with application to communication. In Informatics in control, automation and robotics (pp. 227\u2013234). Springer.","DOI":"10.1007\/978-3-642-25899-2_31"}],"container-title":["Studies in Computational Intelligence","Fractional Order Control and Synchronization of Chaotic Systems"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-50249-6_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,25]],"date-time":"2017-06-25T11:31:47Z","timestamp":1498390307000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-50249-6_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319502489","9783319502496"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-50249-6_24","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"type":"print","value":"1860-949X"},{"type":"electronic","value":"1860-9503"}],"subject":[],"published":{"date-parts":[[2017]]}}}