A Novel Simple Hyperchaotic System with Two Coexisting Attractors

DOI10.1142/S0218127419502031zbMath1434.34024OpenAlexW2998709745WikidataQ126468649 ScholiaQ126468649MaRDI QIDQ5211105

Jiaopeng Yang, Zheng-Rong Liu

Publication date: 20 January 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419502031

zbMATH Keywords

chaosbifurcationcoexisting attractorsLyapunov exponentfour-dimensional cubic autonomous system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items (4)

Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint ⋮ Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit ⋮ Hidden attractors, singularly degenerate heteroclinic orbits, multistability and physical realization of a new 6D hyperchaotic system ⋮ Dynamics of a Four-Dimensional System with Cubic Nonlinearities

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