4.2 Article

Coexistence of multiple bifurcation modes in memristive diode-bridge-based canonical Chua's circuit

Journal

INTERNATIONAL JOURNAL OF ELECTRONICS
Volume 105, Issue 7, Pages 1159-1169

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00207217.2018.1426122

Keywords

Canonical Chua's circuit; memristive diode bridge; multiple bifurcation modes; coexisting attractors; hardware experiment

Funding

  1. National Natural Science Foundations of China [51777016, 61601062, 51607013, 11602035]
  2. Natural Science Foundations of Jiangsu Province, China [BK20160282]

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Based on a memristive diode bridge cascaded with series resistor and inductor filter, a modified memristive canonical Chua's circuit is presented in this paper. With the modelling of the memristive circuit, a normalised system model is built. Stability analyses of the equilibrium points are performed and bifurcation behaviours are investigated by numerical simulations and hardware experiments. Most extraordinary in the memristive circuit is that within a parameter region, coexisting phenomenon of multiple bifurcation modes is emerged under six sets of different initial values, resulting in the coexistence of four sets of topologically different and disconnected attractors. These coexisting attractors are easily captured by repeatedly switching on and off the circuit power supplies, which well verify the numerical simulations.

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