Characteristics of a Delayed System with Time-dependent Delay Time

Abstract

The characteristics of a time-delayed system with time-dependent delay time is investigated. We demonstrate the nonlinearity characteristics of the time-delayed system are significantly changed depending on the properties of time-dependent delay time and especially that the reconstructed phase trajectory of the system is not collapsed into simple manifold, differently from the delayed system with fixed delay time. We discuss the possibility of a phase space reconstruction and its applications.

4 pages, 6 figures (to be published in Phys. Rev. E)

References in corpus (5)

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• The structure and function of complex networks
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• Identifying and modelling delay feedback systems
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Cited by in corpus (8)

• Chaos in time delay systems, an educational review
• Laminar Chaos
• Synchronization of Chaotic Oscillators due to Common Delay Time Modulation
• Laminar Chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of Laminar Chaos
• Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems
• Laminar chaos in systems with quasiperiodic delay
• Zero-lag synchronization in coupled time-delayed piecewise linear electronic circuits
• Existence of anticipatory, complete and lag synchronizations in time-delay systems