Equivalence of the MTS Method and CMR Method for Differential Equations Associated with Semisimple Singularity

DOI10.1142/S0218127414500035zbMath1284.34071MaRDI QIDQ5407287

Yuting Ding, Weihua Jiang, Pei Yu

Publication date: 7 April 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

normal formdistributed delaydiscrete delayordinary differential equation (ODE)center manifold reduction (CMR)multiple time scales (MTS)semisimple singularitydelay differential equation (DDE)equivalence of MTS and CMRneutral functional differential equation (NFDE)partial functional differential equation (PFDE)

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Neutral functional-differential equations (34K40) Invariant manifolds for ordinary differential equations (34C45) Bifurcation theory of functional-differential equations (34K18) Multiple scale methods for ordinary differential equations (34E13) Singular perturbations of functional-differential equations (34K26) Invariant manifolds of functional-differential equations (34K19)

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