Journal
CHAOS SOLITONS & FRACTALS
Volume 83, Issue -, Pages 186-200Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2015.12.007
Keywords
Memristor; Chua's circuit; Multiple attractors; Stable saddle-foci; Complex dynamics
Categories
Funding
- National Natural Science Foundations of China [51277017]
- Scientific Research Foundation of Jiangsu Provincial Education Department, China [14JKB430004, 15KJB510001]
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Multiple attractors can be found in many nonlinear dynamical system with multistability. Recently, experimental attractors with two stable saddle-foci were reported to find in a non-ideal active voltage-controlled memristor based Chua's circuit. In this paper we focus on the multiple attractors found in the proposed memristive Chua's circuit. Concretely, by numerical simulations of mathematical model, hardware circuit experiments and PSIM circuit simulations, multiple attractors with different initial states are revealed and with the dimensionless system equations, complex dynamics with different initial conditions are further discussed. Theoretical derivation results indicate that the normalized memristive Chua's system has two stable nonzero saddle-foci in globally adjusting normalized parameter region and exhibits the unusual and striking dynamical behavior of multiple attractors with multistability. (C) 2015 Elsevier Ltd. All rights reserved.
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