Coexisting chaotic attractors in a memristive system and their amplitude control

A memristive chaotic system of rotational symmetry is constructed and analysed. The dynamical behaviour of the system is demonstrated by phase trajectories, Lyapunov exponents and bifurcation diagrams. Coexisting attractors are observed and a simple approach for amplitude control is proposed accordi...

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Bibliographic Details
Published in:Pramāṇa 2020-12, Vol.94 (1), Article 62
Main Authors: Zang, Hongyan, Gu, Zhenyu, Lei, Tengfei, Li, Chunbiao, Jafari, Sajad
Format: Article
Language:English
Subjects:
Amplitudes
Astronomy
Astrophysics and Astroparticles
Bifurcations
Chaos theory
Circuits
Computer simulation
Control systems
Liapunov exponents
Memory devices
Observations and Techniques
Physics
Physics and Astronomy
Symmetry
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Summary:A memristive chaotic system of rotational symmetry is constructed and analysed. The dynamical behaviour of the system is demonstrated by phase trajectories, Lyapunov exponents and bifurcation diagrams. Coexisting attractors are observed and a simple approach for amplitude control is proposed according to the specific structure. It shows that this symmetric memristive system has partial amplitude control when a control function is introduced. The corresponding circuit implementation is given by generating a symmetric pair of chaotic attractors. Circuit results agree well with the theoretical analysis and numerical simulation.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-020-1937-6