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- W2895958090 abstract "The data generated by long-delayed dynamical systems can be organized in patterns by means of the so-called spatio-temporal representation, uncovering the role of multiple time-scales as independent degrees of freedom. However, their identification as equivalent space and time variables does not lead to a correct dynamical rule. We introduce a new framework for a proper description of the dynamics in the thermodynamic limit, providing a general avenue for the treatment of long-delayed systems in terms of partial differential equations. Such scheme is generic and does not depend on the vicinity of a super-critical bifurcation as required in previous approaches. We discuss the general validity and limit of this method and consider the exemplary cases of long-delayed excitable, bistable and Landau systems." @default.
- W2895958090 created "2018-10-26" @default.
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- W2895958090 date "2018-12-10" @default.
- W2895958090 modified "2023-09-25" @default.
- W2895958090 title "Spatiotemporal description of long-delayed systems: Ruling the dynamics" @default.
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- W2895958090 doi "https://doi.org/10.1103/physreve.98.060201" @default.
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