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Hyperchaos & labyrinth chaos: Revisiting Thomas-Rössler systems
Vasileios Basios1, Chris G Antonopoulos2
1Service de Physique des Systèmes Complexes et Mécanique Statistique, Université Libre de Bruxelles, Interdisciplinary Center for Nonlinear Phenomena and Complex Systems (CeNoLi), Brussels CP231, Belgium.
Journal of Theoretical Biology
|October 15, 2018
Summary
This study introduces a new multidimensional Thomas-Rössler system exhibiting chimera states. Its mechanism relies on "chaotic walks," offering insights into complex spatio-temporal dynamics.
Area of Science:
- Dynamical Systems and Chaos Theory
- Nonlinear Dynamics
- Computational Neuroscience
Background:
- Thomas-Rössler systems are foundational in chaos theory.
- Biological feedback circuits inspired earlier work.
- Chimera states represent complex spatio-temporal patterns in coupled oscillators.
Purpose of the Study:
- To introduce a multidimensional extension of Thomas-Rössler systems.
- To investigate the emergence of chimera states in these new systems.
- To explore the role of
Main Methods:
- Development of a multidimensional Thomas-Rössler system.
- Analysis of chaotic and hyperchaotic dynamics.
- Investigation of coupled system behavior.
Main Results:
- The extended system sustains spatio-temporal behavior resembling chimera states.
- The underlying mechanism is identified as
Conclusions:
- The novel multidimensional Thomas-Rössler system can exhibit chimera states.
- Chaotic walks provide a mechanism for complex spatio-temporal dynamics.
- This work honors Thomas's contributions to chaos theory and biological feedback circuits.
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