Hopf bifurcation in a prototype delayed system

DOI10.1016/S0960-0779(03)00206-6zbMath1053.37026MaRDI QIDQ1432974

Juebang Yu, Chunguang Li, Xiaofeng Liao

Publication date: 1 July 2004

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

zbMATH Keywords

Hopf bifurcationnormal formperiodic orbitcenter manifold

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Periodic solutions to functional-differential equations (34K13) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Periodic orbits of vector fields and flows (37C27) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Bifurcation theory of functional-differential equations (34K18)

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Nonlinear behavior of the parameterized logistic differential systems ⋮ Chaos in the delay logistic equation with discontinuous delays ⋮ Stability, bifurcation and a new chaos in the logistic differential equation with delay ⋮ Stability and bifurcation analysis in a magnetic bearing system with time delays ⋮ Comment on: ``A simple chaotic delay differential equation [Phys. Lett. A 366, No. 4-5, 397--402 (2007; Zbl 1203.37064)] ⋮ Bifurcation analysis in a limit cycle oscillator with delayed feedback ⋮ Secure communication via multiple parameter modulation in a delayed chaotic system ⋮ Hopf and Bogdanov-Takens bifurcations in a coupled FitzHugh-Nagumo neural system with delay

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