Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit

This paper reports a new chaotic system generated from the simplest memristor chaotic circuit by introducing a simple nonlinear feedback control input. The principal feature of the new system is that it has infinitely many equilibria and abundant coexisting attractors. The dynamic evolution of the system with respect to parameters and initial conditions is given to illustrate the existence of chaos and coexisting attractors. The circuit implementation is done for demonstrating the physical existence of the system. A microcontroller on Arduino Mega 2650 board is used to realize the system. Also the synchronization problem of the system is analyzed with the establishment of synchronization conditions based on the sliding mode control.