Existence and bifurcation of periodic solutions of high-dimensional delay differential equations

DOI10.1016/j.chaos.2003.09.017zbMath1048.34117OpenAlexW2024206188MaRDI QIDQ1878137

Ping Bi, Mao'an Han

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.09.017

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items (7)

BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ AFFINE-PERIODIC SOLUTIONS FOR DISCRETE DYNAMICAL SYSTEMS ⋮ Existence and exponential stability of periodic solution of BAM neural networks with impulse and time-varying delay ⋮ Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip ⋮ Bifurcations of heterodimensional cycles with two saddle points ⋮ Exponential stability of periodic neural networks with impulsive effects and time-varying delays ⋮ Bifurcation analysis of a population dynamics in a critical state

Cites Work

• Ordinary differential equations which yield periodic solutions of differential delay equations
• On the nonlinear differential delay equation x'(t) = -f(x(t),x(t-1))
• Introduction to functional differential equations
• Bifurcation of periodic solutions of delay differential equation with two delays.
• Hopf bifurcation in the Lü system
• Stability and Hopf bifurcation for a delay competition diffusion system.
• Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation
• Bifurcations of periodic solutions of delay differential equations
• EXISTENCE AND BIFURCATION OF PERIODIC SOLUTIONS OF THREE-DIMENSIONAL DELAY DIFFERENTIAL EQUATIONS
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