Synchronization in a network of chaotic memristive jerk oscillators

There is a growing attraction to memristive chaotic systems since last decades. This paper provides a complete dynamical analysis of a chaotic memristive jerk system. Complex behavior of this system is studied with the help of equilibrium analysis, state space plots of trajectories, and bifurcation and Lyapunov exponents’ diagrams. The equilibrium analysis reveals that this system can have no equilibrium or two equilibria depending on the value of the parameters. When it has no equilibrium, it’s strange attractor is hidden. The collective behavior of this chaotic oscillator in dynamical networks is investigated by master stability function (MSF) which checks the stability of the synchronization manifold. According to the MSF analysis, the identical network of memristive oscillator belongs to the network type I.

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