Chaotic Dynamics by Some Quadratic Jerk Systems

Chaotic Dynamics by Some Quadratic Jerk Systems

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This paper is about the dynamical evolution green and gold masquerade mask of a family of chaotic jerk systems, which have different attractors for varying values of parameter a.By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both self-excited and hidden attractors are explored.The self-exited chaotic attractors are found via a supercritical Hopf bifurcation and period-doubling cascades to chaos.The hidden chaotic attractors (related to a subcritical Hopf bifurcation, and with a unique stable equilibrium) are also found via period-doubling cascades to chaos.

A where to buy sweetlix goat mineral circuit implementation is presented for the hidden chaotic attractor.The methods used in this paper will help understand and predict the chaotic dynamics of quadratic jerk systems.