Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator

作者：Bao, B. C.^*; Wu, P. Y.; Bao, H.; Xu, Q.; Chen, M.

来源：Chaos Solitons & Fractals, 2018, 106: 161-170.

DOI：10.1016/j.chaos.2017.11.025

• Memristive diode bridge
• Autonomous memristive oscillator
• Quasi-periodic behavior
• Chaotic bursting 0-1 test

This paper presents a novel third-order autonomous memristive chaotic oscillator, which is accomplished by parallelly coupling a simple memristive diode bridge emulator into a Sallen-Key low-pass filter (LPF). With the modeling of this oscillator, stability analyses of the equilibrium point and numerical simulations of the phase plane orbit, time-domain sequence, bifurcation diagram, and finite-time Lyapunov exponent spectrum are performed, from which period, quasi-period, chaos, and quasi-period to chaos route are found. Particularly, two types of dynamical phenomena of quasi-periodic behavior and point-cycle chaotic bursting that are further identified by using 0-1 test are observed in such a third-order autonomous memristive oscillator, which have been rarely reported in the previous literatures. Additionally, hardware experiments are implemented and the quasi-periodic behavior and point-cycle chaotic bursting are well confirmed.

• 出版日期2018-1
• 单位常州大学