4.7 Article

Multistability in Chua's circuit with two stable node-foci

Journal

CHAOS
Volume 26, Issue 4, Pages -

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.4946813

Keywords

-

Funding

  1. National Natural Science Foundations of China [51277017, 61501073]
  2. Science Fund for Distinguished Young Scholars of Chongqing [cstc2013jcyjjq40001]
  3. Natural Science Foundation of Changzhou Province [CJ20159026]
  4. Natural Science Foundation of Jiangsu Province [CJ20159026]

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Only using one-stage op-amp based negative impedance converter realization, a simplified Chua's diode with positive outer segment slope is introduced, based on which an improved Chua's circuit realization with more simpler circuit structure is designed. The improved Chua's circuit has identical mathematical model but completely different nonlinearity to the classical Chua's circuit, from which multiple attractors including coexisting point attractors, limit cycle, double-scroll chaotic attractor, or coexisting chaotic spiral attractors are numerically simulated and experimentally captured. Furthermore, with dimensionless Chua's equations, the dynamical properties of the Chua's system are studied including equilibrium and stability, phase portrait, bifurcation diagram, Lyapunov exponent spectrum, and attraction basin. The results indicate that the system has two symmetric stable nonzero node-foci in global adjusting parameter regions and exhibits the unusual and striking dynamical behavior of multiple attractors with multistability. Published by AIP Publishing.

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