Zero–Hopf bifurcation in a hyperchaotic Lorenz system

We characterize the zero–Hopf bifurcation at the singular points of a parameter codimension four hyperchaotic Lorenz system. Using averaging theory, we find sufficient conditions so that at the bifurcation points two periodic solutions emerge and describe the stability of these orbits.

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Bibliographic Details
Published inNonlinear dynamics Vol. 75; no. 3; pp. 561 - 566
Main Authors Cid-Montiel, Lorena, Llibre, Jaume, Stoica, Cristina
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.02.2014
Springer Nature B.V
Subjects
Automotive Engineering
Bifurcation theory
Bifurcations
Classical Mechanics
Control
Dynamical Systems
Economic models
Engineering
Hopf bifurcation
Lorenz system
Mechanical Engineering
Nonlinear dynamics
Orbital stability
Orbits
Original Paper
Stability
Vibration
Periodic orbits
Hyperchaotic Lorenz system
Zero–Hopf bifurcation
Averaging theory
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Summary:We characterize the zero–Hopf bifurcation at the singular points of a parameter codimension four hyperchaotic Lorenz system. Using averaging theory, we find sufficient conditions so that at the bifurcation points two periodic solutions emerge and describe the stability of these orbits.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-1085-3