On the coexistence of periodic or quasi-periodic oscillations near a Hopf-pitchfork bifurcation in NFDE

DOI10.1016/J.CNSNS.2012.08.004zbMath1285.34066OpenAlexW2024878967MaRDI QIDQ391438

Ben Niu, Weihua Jiang

Publication date: 10 January 2014

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1007570412003474?np=y

zbMATH Keywords

normal formquasi-periodic solutionneutral functional differential equationHopf-pitchfork bifurcationsaddle connection bifurcation on torus

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

Related Items (7)

Equivariant Hopf-Pitchfork Bifurcation of Symmetric Coupled Neural Network with Delay ⋮ Simultaneity of synchronization and antisynchronization in a class of chaotic systems ⋮ HOPF-ZERO BIFURCATION OF A DELAYED PREDATOR-PREY MODEL WITH DORMANCY OF PREDATORS ⋮ Degenerate with respect to parameters fold-Hopf bifurcations ⋮ Hopf-pitchfork bifurcation in a two-neuron system with discrete and distributed delays ⋮ Hopf bifurcation of a generalized Moon-Rand system ⋮ Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay

This page was built for publication: On the coexistence of periodic or quasi-periodic oscillations near a Hopf-pitchfork bifurcation in NFDE