Bifurcations, ultimate boundedness and singular orbits in a unified hyperchaotic Lorenz-type system

DOI10.3934/dcdsb.2020003zbMath1471.34071OpenAlexW2993047183WikidataQ126580094 ScholiaQ126580094MaRDI QIDQ2175679

Fumin Zhang, Hai-Jun Wang

Publication date: 29 April 2020

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020003

zbMATH Keywords

Lyapunov functionbifurcationheteroclinic orbitssingularly degenerate heteroclinic cycleglobal exponential attractive setultimate bound estimationunified hyperchaotic Lorenz-type system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Growth and boundedness of solutions to ordinary differential equations (34C11) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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