Density Evolution Under Delayed Dynamics

Density Evolution Under Delayed Dynamics

An Open Problem

Mackey, Michael C.; Losson, Jerome; Taylor, Richard; Tyran-Kaminska, Marta

Springer-Verlag New York Inc.

10/2021

138

Mole

Inglês

9781071610749

15 a 20 dias

238

Descrição não disponível.
Part I. Introduction and Background to Density Evolution Problems.- 1. Introduction and Motivation.- 2. Density Evolution in Systems with Finite Dimensional Dynamics.- Part II. Illustrating the Problem and Making it Precise for Differential Delay Equations.- 3. Dynamics in Ensembles of Differential Delay Equations.- 4. The Problem.- III. Possible Analytical Approaches.- 5. The Hopf Functional Approach.- 6. The Method of Steps.- Part IV. Possible Approximating Solutions.- 7. Turning a Differential Delay Equation into a High-Dimensional Map.- 8. Approximate "Liouville-like" Equation.- 9. Summary and Conclusions.- References.- Index.
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ordinary differential equations;ergodic theory;Hopf characteristic functionals;applications of functional calculus;Markov processes;infinite-dimensional spaces