ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2019
Nonlinear dynamics of delay systems: an overview.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Metastable Oscillatory Modes as a Signature of Entropy Management in the Brain.Entropy (Basel, Switzerland) · 2024Article
- Synthetic control of actin polymerization and symmetry breaking in active protocells.Science advances · 2024Article
- Probing Intrinsic Neural Timescales in EEG with an Information-Theory Inspired Approach: Permutation Entropy Time Delay Estimation (PE-TD).Entropy (Basel, Switzerland) · 2023Article
- Reaction-diffusion models in weighted and directed connectomes.PLoS computational biology · 2022Article
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3 authors.
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Abstract
Time delays play an important role in many fields such as engineering, physics or biology. Delays occur due to finite velocities of signal propagation or processing delays leading to memory effects and, in general, infinite-dimensional systems. Time delay systems can be described by delay differential equations and often include non-negligible nonlinear effects. This overview article introduces the theme issue 'Nonlinear dynamics of delay systems', which contains new fundamental results in this interdisciplinary field as well as recent developments in applications. Fundamentally, new results were obtained especially for systems with time-varying delay and state-dependent delay and for delay system with noise, which do often appear in real systems in engineering and nature. The applications range from climate modelling over network dynamics and laser systems with feedback to human balancing and machine tool chatter. This article is part of the theme issue 'Nonlinear dynamics of delay systems'.
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