On the stability of periodic orbits in delay equations with large delay

DOI10.3934/dcds.2013.33.3109zbMath1282.34071arXiv1101.1197OpenAlexW3105619516MaRDI QIDQ379483

Mark Lichtner, Matthias Wolfrum, Jan Sieber, Sergiy Yanchuk

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1197

zbMATH Keywords

stabilityperiodic solutionsFloquet multipliersasymptotic continuous spectrumlarge delaystrongly unstable spectrum

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) Spectral theory of functional-differential operators (34K08)

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Stability of synchronous slowly oscillating periodic solutions for systems of delay differential equations with coupled nonlinearity ⋮ Absolute stability and absolute hyperbolicity in systems with discrete time-delays ⋮ Characteristic matrix functions for delay differential equations with symmetry ⋮ Equivariant Pyragas Control of Discrete Waves ⋮ Spatio-temporal phenomena in complex systems with time delays ⋮ Spectrum and amplitude equations for scalar delay-differential equations with large delay ⋮ The spectrum of delay differential equations with multiple hierarchical large delays ⋮ Synchronization in networks with strongly delayed couplings ⋮ Synchronizability of networks with strongly delayed links: a universal classification ⋮ Self-induced synchronization by large delay

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