A new autonomous memristive megastable oscillator and its Hamiltonian-energy-dependent megastability

Multistability is a special issue in nonlinear dynamics. In this paper, a three-dimensional autonomous memristive chaotic system is presented, with interesting multiple coexisting attractors in a nested structure observed, which indicates the megastability. Furthermore, the extreme event is investigated by local riddled basins. Based on Helmholtz's theorem, the average Hamiltonian energy with respect to initial-dependent dynamics is calculated and the energy transition explains the occurrence mechanisms of the megastability and the extreme event. Finally, by configuring initial conditions, multiple coexisting megastable attractors are captured in PSIM simulations and FPGA circuits, which validate the numerical results.

Automated summary

This paper presents a three-dimensional autonomous memristive chaotic system with multiple coexisting attractors and explores the megastability phenomenon. Through calculating the average Hamiltonian energy and analyzing the energy transition, the occurrence mechanisms of megastability and extreme events are explained. The numerical results are validated through PSIM simulations and FPGA circuits.