Autonomous Jerk Oscillator with Quadratic Nonlinearities: Theoretical Investigations, Chaos Control, and Difference Synchronization

This paper reports concerning the microcontroller validation of a self-governing jerk oscillator with quadratic nonlinearities (AJOQN) and operation investigations based on chaos control and difference synchronization. AJOQN displays self-excited chaotic attractors with different shapes. The total amplitude control of AJOQN is achieved by tuning one of its parameters. The dynamical characteristics reported in AJOQN are vindicated via the microcontrollerprobing. A single controller is delineated to quash the complex characteristics of AJOQN. The validity of the designed single controller is confirmed by the numerical simulations. In the bargain, controllers are formulated to establish difference synchronization in the triple similar coupled chaotic AJOQNs advancing from different incipient states. In closing, simulations numerically of the triple alike coupled chaotic AJOQNs manifest the efficacy of difference synchronization.