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A new 3-D chaotic jerk system with four nonlinear systems is proposed in this research work. There is great interest in the literature in discovering chaos in mechanical systems. In this work, we find chaos in a 3-D chaotic jerk system, which is a mechanical oscillator with four nonlinear terms. As a control application, we design backstepping based global chaos synchronization for a pair of new chaotic jerk systems. As a circuit application, we design MultiSIM electronic circuit for the new chaotic jerk system. The MultiSIM outputs show good agreement with the MATLAB outputs for the new jerk system.

A New 3-D Chaotic Jerk System with Four Nonlinear Terms, its Backstepping Synchronization and Circuit Simulation