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Unusual spiral wave tip trajectories in a parametrically forced nonequilibrium system
Jysoo Lee1, Jinha Kim, Goen-hee Yi
1National Creative Research Initiative Center for Neurodynamics and Department of Physics, Korea University, Seoul 136-701, Korea.
Summary
Parametric modulations create unusual spiral wave patterns in liquid crystals under magnetic fields. These forcings cause spiral tips to meander, forming complex trajectories with unique crescent-shaped satellite orbits.
Area of Science:
- Physics
- Nonlinear Dynamics
- Materials Science
Background:
- Spiral waves are dynamic patterns observed in various complex systems.
- Liquid crystals exhibit rich behavior under external fields.
- Understanding pattern formation is crucial in nonlinear dynamics.
Purpose of the Study:
- To investigate the impact of parametric modulations on spiral waves in liquid crystals.
- To analyze the resulting complex tip trajectories under a rotating magnetic field.
- To elucidate the mechanism behind unusual spiral wave dynamics.
Main Methods:
- Laboratory experiments were conducted on thin liquid crystal layers.
- Numerical simulations were employed to model the system's behavior.
- Parametric forcings, sinusoidal in time, were applied.
Main Results:
- Sinusoidal parametric forcings induced meandering of the spiral tip.
- A compound tip trajectory emerged, featuring a main circular orbit and a crescent-shaped satellite orbit.
- No frequency locking between the forcing and spiral rotation was observed.
Conclusions:
- Parametric modulations significantly alter spiral wave dynamics in liquid crystals.
- The study elucidates the mechanism behind the novel satellite orbit formation.
- The dependence of spiral rotation frequency on perturbation parameters was analyzed.