Effective Computation of Periodic Orbits and Bifurcation Diagrams in Delay Equations.
K.P. Hadeler (1980)
Numerische Mathematik
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Displaying similar documents to “Homoclinic and periodic solutions of scalar differential delay equations”
Effective Computation of Periodic Orbits and Bifurcation Diagrams in Delay Equations.
Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers
Lan Zhang, Cheng Jian Zhang (2008)
Kybernetika
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A four-dimensional hyperchaotic Lü system with multiple time-delay controllers is considered in this paper. Based on the theory of Hopf bifurcation in delay system, we obtain a simple relationship between the parameters when the system has a periodic solution. Numerical simulations show that the assumption is a rational condition, choosing parameter in the determined region can control hyperchaotic Lü system well, the chaotic state is transformed to the periodic orbit. Finally, we consider...
Global Hopf bifurcation analysis for a time-delayed model of asset prices.
Qu, Ying, Wei, Junjie (2010)
Discrete Dynamics in Nature and Society
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Periodic points and bifurcation of one-dimensional maps
J. Ombach (1985)
Applicationes Mathematicae
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The Hopf bifurcation theorem for parabolic equations with infinite delay
Hana Petzeltová (1991)
Mathematica Bohemica
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The existence of the Hopf bifurcation for parabolic functional equations with delay of maximum order in spatial derivatives is proved. An application to an integrodifferential equation with a singular kernel is given.
Period-doublings and orbit-bifurcations in symmetric systems
A. Vanderbauwhede (1989)
Banach Center Publications
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Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities.
Xu, J., Chung, K.W. (2009)
Mathematical Problems in Engineering
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On the Bautin bifurcation for systems of delay differential equations.
Ion, Anca-Veronica (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Periodic solutions near an equilibrium of a differential equation with a first integral
Wacław Marzantowicz, Adam Parusiński (1987)
Rendiconti del Seminario Matematico della Università di Padova
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