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Mode-locking of mobile discrete breathers
D Zueco1, P J Martínez, L M Floría
1Departamento de Física de la Materia Condensada, Universidad de Zaragoza, Spain.
Summary
Mobile discrete breathers in nonlinear lattices synchronize with external forces. Their velocity locks to rational frequencies, with stability enhanced by subharmonic driving, taming chaotic behaviors.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Computational physics
Background:
- Discrete breathers are localized nonlinear excitations in periodic structures.
- Understanding their dynamics under external forcing is crucial for controlling energy transport.
- Synchronization phenomena in nonlinear systems are complex and exhibit rich behaviors.
Purpose of the Study:
- To numerically investigate synchronization phenomena of mobile discrete breathers.
- To analyze the effect of driving intensity and frequency on breather velocity.
- To explore the role of subharmonic driving in stabilizing chaotic solutions.
Main Methods:
- Numerical simulations of dissipative nonlinear lattices.
- Analysis of breather velocity and frequency locking.
- Investigation of linear stability domains.
- Study of intermittency and chaotic dynamics.
Main Results:
- Breather velocity generically locks at rational multiples of the driving frequency.
- Locking plateaus often coincide with linear stability domains.
- Desynchronization occurs via type-I intermittencies.
- Chaotic mobile breathers with locked velocity were observed.
- Subharmonic driving tamed chaotic solutions and enhanced stability.
Conclusions:
- Synchronization is a key phenomenon governing mobile discrete breather dynamics.
- External driving can lead to both stable resonant states and chaotic behavior.
- Subharmonic driving offers a method to control and stabilize these nonlinear excitations.