Multiple scale analysis of delayed dynamical systems

DOI10.1016/S0167-2789(97)00318-7zbMath0942.34063OpenAlexW1995059141MaRDI QIDQ1967245

Giovanni Giacomelli, Antonio Z. Politi

Publication date: 21 August 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00318-7

zbMATH Keywords

thermodynamic limitlinear stabilityHopf bifurcationdelayed feedbacksemiconductor laserchaotic evolutionlong delay

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Multiple scale methods for ordinary differential equations (34E13)

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Dynamics of a system of two equations with a large delay ⋮ Front dynamics in a delayed-feedback system with external forcing ⋮ Extraction of slow and fast dynamics of multiple time scale systems using wavelet techniques ⋮ Spatio-temporal phenomena in complex systems with time delays ⋮ Metastable periodic patterns in singularly perturbed state-dependent delayed equations ⋮ MULTI-SCALE DYNAMICS IN STOCHASTIC DELAY DIFFERENTIAL EQUATIONS WITH MULTIPLICATIVE NOISE ⋮ Spectrum and amplitude equations for scalar delay-differential equations with large delay ⋮ Bifurcation analysis of a normal form for excitable media: Are stable dynamical alternans on a ring possible? ⋮ Second order multiple scales for oscillators with large delay

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