Coexisting multiple attractors and riddled basins of a memristive system.

Guangyi Wang, Fang Yuan, Guanrong Chen, Yu Zhang
Author Information
  1. Guangyi Wang: Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
  2. Fang Yuan: Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China. ORCID
  3. Guanrong Chen: Department of Electronic Engineering, City University Hong Kong, Hong Kong 999077, China.
  4. Yu Zhang: Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.

Abstract

In this paper, a new memristor-based chaotic system is designed, analyzed, and implemented. Multistability, multiple attractors, and complex riddled basins are observed from the system, which are investigated along with other dynamical behaviors such as equilibrium points and their stabilities, symmetrical bifurcation diagrams, and sustained chaotic states. With different sets of system parameters, the system can also generate various multi-scroll attractors. Finally, the system is realized by experimental circuits.

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