A Hopf-like equation and perturbation theory for differential delay equations

DOI10.1007/BF01058760zbMath0888.34039OpenAlexW2003652273WikidataQ115394488 ScholiaQ115394488MaRDI QIDQ1379383

Michael C. Mackey, Jérôme Losson

Publication date: 22 March 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058760

zbMATH Keywords

dynamicsperturbationdifferential delay equationsKramers-Moyal expansionHopf-like functional differential equationinfinite chain of linear partial differential equationsturbulent fluid flows

Mathematics Subject Classification ID

Dynamical systems approach to turbulence (76F20) Ergodic theory (37A99) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (4)

High-dimensional chaos in delayed dynamical systems ⋮ Noise and stability in differential delay equations ⋮ Power spectra and dynamical invariants for delay-differential and difference equations ⋮ How can we describe density evolution under delayed dynamics?

Cites Work

• The dynamics of recurrent inhibition
• The Fokker-Planck equation. Methods of solution and applications
• Probabilistic Properties of Deterministic Systems
• A space-time functional formalism for turbulence
• Functional Integrals and Collective Excitations
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