E. Zambrano-Serrano, J. Muñoz-Pacheco, O. Félix-Beltrán, R. Trejo-Guerra, L. C. Gómez-Pavón, E. Tlelo-Cuautle, C. Sánchez-López, A. Luis-Ramos
{"title":"Synchronization of multi-directional multi-scroll chaos generators: A Hamiltonian approach","authors":"E. Zambrano-Serrano, J. Muñoz-Pacheco, O. Félix-Beltrán, R. Trejo-Guerra, L. C. Gómez-Pavón, E. Tlelo-Cuautle, C. Sánchez-López, A. Luis-Ramos","doi":"10.1109/INDS.2011.6024790","DOIUrl":null,"url":null,"abstract":"In this paper, a chaotic synchronization scheme for multi-directional multi-scroll chaos generators is presented. We use Generalized Hamiltonian forms approach to determine the synchronization conditions for two unidirectionally coupled multi-directional multi-scroll chaotic attractors. First, two state-variables of the master system are used to control the two nonlinear functions in the slave system and consequently, reach the synchronization of two 2D-4-scroll chaotic systems. Similarly, the synchronization of two 3D-4-scroll chaotic systems is achieved by using all three state-variables in order to control the three nonlinear functions for the slave system. Finally, theoretical calculations are in good agreement with numerical simulations and a prediction on the values for observer gain is also given.","PeriodicalId":117809,"journal":{"name":"Proceedings of the Joint INDS'11 & ISTET'11","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Joint INDS'11 & ISTET'11","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INDS.2011.6024790","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
In this paper, a chaotic synchronization scheme for multi-directional multi-scroll chaos generators is presented. We use Generalized Hamiltonian forms approach to determine the synchronization conditions for two unidirectionally coupled multi-directional multi-scroll chaotic attractors. First, two state-variables of the master system are used to control the two nonlinear functions in the slave system and consequently, reach the synchronization of two 2D-4-scroll chaotic systems. Similarly, the synchronization of two 3D-4-scroll chaotic systems is achieved by using all three state-variables in order to control the three nonlinear functions for the slave system. Finally, theoretical calculations are in good agreement with numerical simulations and a prediction on the values for observer gain is also given.