Hopf-transcritical bifurcation in retarded functional differential equations

DOI10.1016/j.na.2010.07.043zbMath1213.34081OpenAlexW2010516800MaRDI QIDQ708705

Weihua Jiang, Hongbin Wang

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.07.043

zbMATH Keywords

normal formheteroclinic orbitsecondary Hopf bifurcationretarded functional differential equationsvan der Pol's equationHopf-transcritical bifurcation

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

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