Hopf bifurcation analysis and amplitude control of the modified Lorenz system

DOI10.1016/J.AMC.2013.09.057zbMath1336.93079OpenAlexW2005256423MaRDI QIDQ275748

Xuedi Wang, Lianwang Deng, Wenli Zhang

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.09.057

zbMATH Keywords

limit cycleHopf bifurcationamplitude controlbifurcation controlmodified Lorenz system

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Control/observation systems governed by ordinary differential equations (93C15) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

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• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• Stability of bifurcating periodic solutions for van der Pol equation with continuous distributed delay.
• Stability and bifurcation for a kind of nonlinear delayed differential equations
• Analysis and Control of Hopf Bifurcations

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