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Laminar chaos in systems with random and chaotically time-varying delay
David Müller-Bender1, Rahil N Valani2
1Chemnitz University of Technology, Institute of Physics, 09107 Chemnitz, Germany.
Physical Review. E
|January 21, 2026
Summary
Laminar chaos, a low-dimensional phenomenon in dynamical systems, is now observed with random and chaotic time delays. This finding simplifies chaos detection and reduces attractor dimensions in these systems.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Dynamical Systems
Background:
- Laminar chaos, a low-dimensional phenomenon, has been identified in systems with periodic and quasiperiodic time-varying delays.
- Turbulent chaos, a high-dimensional counterpart, typically appears in systems with large constant delays.
Purpose of the Study:
- To investigate the occurrence of laminar chaos in singularly perturbed dynamical systems with random and chaotically time-varying delays.
- To generalize methods for detecting laminar chaos in experimental time series for these new delay types.
Main Methods:
- Analysis of singularly perturbed dynamical systems with random and chaotically time-varying delays.
- Investigation of the role of circle maps with quenched disorder.
- Generalization of existing laminar chaos detection techniques.
Main Results:
- Laminar chaos and its generalizations are demonstrated in systems with random and chaotically time-varying delays.
- Short-time correlated random and chaotic delays lead to laminar chaos across most of the parameter space.
- A significant reduction in the dimension of the chaotic attractor is observed with these delay variations.
Conclusions:
- The presence of random and chaotic time delays can induce laminar chaos, simplifying the study of complex dynamical systems.
- The findings suggest a broad applicability of laminar chaos phenomena beyond periodic and quasiperiodic delays.
- This research provides new avenues for analyzing and understanding chaotic behavior in experimental data.
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