Simple megastable oscillators with different types of attractors; tori, chaotic and hyperchaotic ones

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作者
Biqun Chen
Karthikeyan Rajagopal
Ibrahim Ismael Hamarash
Anitha Karthikeyan
Iqtadar Hussain
机构
[1] School of Electronic Engineering,Department of Computer Science and Engineering
[2] Changzhou College of Information Technology,Department of Mathematics
[3] Center for Nonlinear Dynamics,undefined
[4] Defence University,undefined
[5] University of Kurdistan-Hewler,undefined
[6] Statistics and Physics,undefined
[7] Qatar University,undefined
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摘要
Coexistence of attractors with different or same type, multistability, is a complex behavior in nonlinear systems. This feature makes these systems applicable but difficult to control. Besides multistability, some new systems show megastability, existence of infinite number of coexisting attractors. In this paper, two simple megastable systems are presented in details. Moreover, these systems show hyperchaotic behavior which is rare in these types of systems as previously proposed systems mostly show chaos and periodic responses. To show the properties of these systems, nonlinear analytical tools are used in this article.
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页码:1155 / 1161
页数:6
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