Spectrum and amplitude equations for scalar delay-differential equations with large delay

DOI10.3934/dcds.2015.35.537zbMath1312.34100OpenAlexW2137011893WikidataQ59901731 ScholiaQ59901731MaRDI QIDQ479994

Alexander Mielke, Leonhard Lücken, Matthias Wolfrum, Sergiy Yanchuk

Publication date: 8 December 2014

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

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.537

zbMATH Keywords

amplitude equationslarge delaypseudo-continuous spectrumscalar delay differential equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Bifurcation theory of functional-differential equations (34K18) Spectral theory of functional-differential operators (34K08)

Related Items (6)

Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay ⋮ Absolute stability and absolute hyperbolicity in systems with discrete time-delays ⋮ Amplitude equations for collective spatio-temporal dynamics in arrays of coupled systems ⋮ Topological localized states in the time delayed Adler model: Bifurcation analysis and interaction law ⋮ Spatio-temporal phenomena in complex systems with time delays ⋮ The spectrum of delay differential equations with multiple hierarchical large delays

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