Litcius/Paper detail

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

A. Chithra, Théophile Fonzin Fozin, K. Srinivasan, E. Kengne, Aurelle Tchagna Kouanou, I. Raja Mohamed

2021International Journal of Bifurcation and Chaos22 citationsDOI

Abstract

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.

Topics & Concepts

Phase portraitAttractorTransient (computer programming)BifurcationMemristorPoincaré mapStatistical physicsLyapunov exponentPhysicsComputer simulationComplex dynamicsComputer scienceNonlinear systemControl theory (sociology)Topology (electrical circuits)MathematicsMathematical analysisMechanicsQuantum mechanicsArtificial intelligenceOperating systemCombinatoricsControl (management)Advanced Memory and Neural Computingstochastic dynamics and bifurcationNonlinear Dynamics and Pattern Formation