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Nontwist non-Hamiltonian systems
E G Altmann1, G Cristadoro, D Pazó
1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany. edugalt@pks.mpg.de
Summary
Nontwist phenomena, previously seen in Hamiltonian systems, also occur in time-reversible, non-Hamiltonian systems. This study explores these phenomena in collision-reconnection scenarios, revealing new routes to torus breakup.
Area of Science:
- Nonlinear dynamics
- Chaos theory
- Statistical mechanics
Background:
- Nontwist phenomena are well-documented in Hamiltonian systems, influencing their long-term behavior.
- Understanding these phenomena is crucial for predicting the stability and dynamics of complex systems.
Purpose of the Study:
- To investigate the existence and characteristics of nontwist phenomena in time-reversible non-Hamiltonian systems.
- To analyze the parameter space breakup diagram of the shearless torus in these systems.
- To identify novel routes to torus breakup beyond traditional Hamiltonian mechanisms.
Main Methods:
- Analysis of two standard collision-reconnection scenarios.
- Computation of the parameter space breakup diagram for the shearless torus.
- Examination of phenomena in coupled phase oscillators.
- Study of dynamics in non-area-preserving maps.
Main Results:
- Confirmation that nontwist phenomena are present in time-reversible non-Hamiltonian systems.
- Identification of attractor onset as a significant route to torus breakup, distinct from Hamiltonian pathways.
- Detailed mapping of the parameter space breakup diagram for the shearless torus.
Conclusions:
- The study extends the understanding of nontwist phenomena beyond Hamiltonian systems.
- New insights into torus breakup mechanisms in non-Hamiltonian dynamics are provided.
- The findings have implications for diverse fields involving complex system dynamics.
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