Nonresonant Hopf-Hopf bifurcation and a chaotic attractor in neutral functional differential equations

DOI10.1016/j.jmaa.2012.08.051zbMath1315.34075arXiv1402.0287OpenAlexW1966282047MaRDI QIDQ691840

Ben Niu, Weihua Jiang

Publication date: 4 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0287

zbMATH Keywords

chaosquasi-periodic solutionsneutral functional differential equationsnonresonant Hopf-Hopf bifurcationvan der Pol's equations

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

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