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Dynamical Systems with Time-Varying Delay: Dissipative and More Dissipative Systems

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Abstract

We investigate the dynamical properties of time-delay systems with time-varying delay, where we focus on the influence of the functional structure of the delay. Two universality classes of systems with time-varying delays are presented which lead to fundamental differences in the dynamics of the related systems, as for example the scaling behavior of the Lyapunov spectrum. The classification is connected to the well-known existence or non-existence of topological conjugacies of circle maps to constant rotations. It is independent of the specific delay system.

Keywords

Time-varying Delays Lyapunov Spectrum Topological Conjugacy Circle Maps Delay Differential Equations (DDE) 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Authors and Affiliations

  1. 1.Institute of Physics, Chemnitz University of TechnologyChemnitzGermany

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