Journal
CHAOS SOLITONS & FRACTALS
Volume 106, Issue -, Pages 161-170Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2017.11.025
Keywords
Memristive diode bridge; Autonomous memristive oscillator; Quasi-periodic behavior; Chaotic bursting 0-1 test
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Funding
- National Natural Science Foundation of China [51777016, 61601062, 51607013]
- Natural Science Foundation of Jiangsu Province, China [BK20160282]
- Postgraduate Research & Practice Innovation Program of Jiangsu Province, China [KYCX17_2083]
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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. (c) 2017 Elsevier Ltd. All rights reserved.
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