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Related Experiment Video

Updated: Feb 3, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Dissipative solitons for bistable delayed-feedback systems.

Vladimir V Semenov1, Yuri L Maistrenko2

  • 1Department of Physics, Saratov State University, Astrakhanskaya str. 83, 410012 Saratov, Russia.

Chaos (Woodbury, N.Y.)
|November 3, 2018
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Summary
This summary is machine-generated.

Nonlinear delayed-feedback in the Ikeda model generates solitary impulses, known as dissipative solitons. This discovery, confirmed through simulations and experiments, reveals potential for novel information storage solutions.

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Area of Science:

  • Nonlinear Dynamics
  • Optical Physics
  • Complex Systems

Background:

  • The Ikeda model is a fundamental system for studying nonlinear dynamics.
  • Delayed feedback is a crucial element in many complex systems, influencing emergent behaviors.
  • Dissipative solitons are self-organized structures in open systems far from equilibrium.

Purpose of the Study:

  • To investigate the induction of solitary impulses (dissipative solitons) in the Ikeda model via nonlinear delayed-feedback.
  • To identify the conditions necessary for the appearance of these solitons.
  • To explore the variety and complexity of soliton-based structures and their dependence on delay.

Main Methods:

  • Utilizing a virtual space-time representation to analyze equations with delay.
  • Performing numerical simulations to identify dark and bright solitons.
  • Conducting physical electronic experiments to validate simulation findings.

Main Results:

  • Identified bistability of a nonlinear function and negative delayed feedback as key conditions for soliton appearance.
  • Observed both dark and bright solitons, confirming robustness through experimental validation.
  • Discovered a wide range of compound soliton structures, from regular dynamics to spatiotemporal chaos.
  • Found that the number of coexisting soliton states increases rapidly with delay.

Conclusions:

  • Nonlinear delayed-feedback in the Ikeda model robustly generates diverse dissipative soliton structures.
  • The observed dependence of soliton states on delay suggests potential applications in information storage.
  • The study provides a comprehensive understanding of soliton formation and dynamics in delayed nonlinear systems.