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Density Evolution Under Delayed Dynamics : An Open Problem - Jérôme Losson

Density Evolution Under Delayed Dynamics

An Open Problem

By: Jérôme Losson, Michael C. Mackey, Richard Taylor, Marta Tyran-Kami?ska

eText | 23 October 2020

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This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations. Though the authors have no definitive solution to the problem, they offer this contribution in an attempt to define the problem as they see it, and to sketch out several obvious attempts that have been suggested to solve the problem and which seem to have failed. They hope that by being available to the general mathematical community, they will inspire others to consider-and hopefully solve-the problem. Serious attempts have been made by all of the authors over the years and they have made reference to these where appropriate.

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Non-FictionEngineering & TechnologyMechanical Engineering & MaterialsMechanical EngineeringMathematicsProbability & StatisticsCalculus & Mathematical AnalysisIntegral Calculus & EquationsApplied MathematicsNonlinear ScienceMaterials ScienceMechanics of Solids
Dynamics & VibrationSciencePhysicsClassical MathematicsDifferential Calculus & EquationsReference, Information & Interdisciplinary SubjectsResearch & InformationInformation theoryCybernetics & Systems TheoryStochastics

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