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Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion
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Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks
Vasileios Basios1, Chris G Antonopoulos2, Anouchah Latifi3
1Service de Physique des Systèmes Complexes et Mécanique Statistique and Interdisciplinary Center for Nonlinear Phenomena and Complex Systems (CeNoLi), Université Libre de Bruxelles, BE-1050 Ixelles, Belgium.
Chaos (Woodbury, N.Y.)
|December 2, 2020
Summary
Researchers explored labyrinth chaos, a complex system, and found coupled systems can mimic chimera-like states. This hyperchaotic system is volume-preserving but not force-conservative.
Area of Science:
- Dynamical Systems and Chaos Theory
- Nonlinear Dynamics
Background:
- Labyrinth chaos was discovered by Otto Rössler and René Thomas.
- It involves identifying mathematical conditions for chaotic and hyperchaotic motion in continuous flows.
Purpose of the Study:
- To explore a single labyrinth walk system and coupled labyrinth chaos systems.
- To investigate the emergence of chimera-like states in these systems.
- To analyze the properties of space-filling, chaotic trajectories.
Main Methods:
- Analysis of a single labyrinth walk system.
- Examination of coupled labyrinth chaos systems.
- Investigation of system trajectories and synchronization phenomena.
Main Results:
- Coupled labyrinth chaos systems exhibit complex, chaotic behavior.
- These systems can display chimera-like states due to their unique trajectories.
- The labyrinth walk system is volume-preserving yet not force-conservative.
Conclusions:
- The study celebrates the discovery of labyrinth chaos.
- Coupled labyrinth chaos systems offer insights into chimera-like states and hyperchaotic walks.
- The non-force-conservative nature of the volume-preserving labyrinth system presents further research avenues.
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