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Journal of Vibration Testing and System Dynamics 8(2) (2024) 195--205 | DOI:10.5890/JVTSD.2024.06.004

Laskaridis Lazaros, Christos Volos, Ioannis Stouboulos

Laboratory of Nonlinear Systems, Circuits & Complexity (LaNSCom), Physics Department, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece

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Abstract

In this work, a memristor-based modified Cubic mapping model is presented by coupling a discrete memristance function with a modified Cubic map. This model is based on the memristor, which was discovered by Chua in 1971, as the fourth fundamental electrical component in addition to resistance, capacitance, and inductance. To investigate system's dynamical behavior a set of nonlinear tools has been used, such as bifurcation and maximal Lyapunov exponent diagrams as well as phase portraits. Interesting phenomena related to nonlinear theory have been observed such as, hyperchaotic behavior, regular (periodic and quasiperiodic) and chaotic orbits, as well as route to chaos through the mechanism of period doubling and crisis phenomena.

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