Hopf bifurcation of the third-order Hénon system based on an explicit criterion

DOI10.1016/J.NA.2008.04.038zbMath1158.93364OpenAlexW2043740340MaRDI QIDQ1009638

Hu Wang, Enying Li, Guangyao Li, Gui-Lin Wen

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.038

zbMATH Keywords

stabilitysimulationlimit cycleHopf bifurcationHénon mapcircuit implementationexplicit criterion

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Neimark-Sacker bifurcation in a discrete-time financial system

Cites Work

• The stability and control of discrete processes
• Elements of applied bifurcation theory.
• Control algorithm for creation of Hopf bifurcations in continuous-time systems of arbitrary dimension
• PROJECTIVE SYNCHRONIZATION VIA A LINEAR OBSERVER: APPLICATION TO TIME-DELAY, CONTINUOUS-TIME AND DISCRETE-TIME SYSTEMS
• CLOSED-FORM CONDITIONS OF BIFURCATION POINTS FOR GENERAL DIFFERENTIAL EQUATIONS

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