4.5 Article

Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos

Journal

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127421500498

Keywords

Memristive MLC circuit; bifurcation and chaos; coexisting attractors; double-transient chaos

Funding

  1. SERB [SR/S2/HEP-042/2012]
  2. SERB-DST Fast Track scheme [SR/FTP/PS-117/2013]

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This paper reveals novel complex phenomena in a memristive diode bridge-based MLC circuit, including the coexistence of multiple attractors and double-transient chaos. Numerical simulation tools and real-laboratory measurements confirm the observed complex dynamical behaviors in the memristive system.
This paper uncovers some striking and new complex phenomena in a memristive diode bridge-based Murali-Lakshmanan-Chua (MLC) circuit. These striking dynamical behaviors include the coexistence of multiple attractors and double-transient chaos. Also, period-doubling, chaos, crisis scenarios are observed in the system when varying the amplitude of the external excitation. Numerical simulation tools like phase portrait, cross-section basin of attraction, Lyapunov spectrum, bifurcation diagrams and time series are used to highlight the complex dynamical behaviors in the memristive system. Further, practical realizations of the circuit both in PSpice and real-laboratory measurements match well with the observed numerical simulations.

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