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Control of on-off intermittency by slow parametric modulation.
Rider Jaimes Reategui1, Alexander N Pisarchik
1Centro de Investigaciones en Optica, Loma del Bosque 115, Colonia Lomas del Campestre, 37150, Leon, Guanajuato, Mexico.
Summary
We demonstrate that slow harmonic modulation can eliminate on-off intermittency in coupled Duffing oscillators. This control method reveals power-law scaling, a key signature of this complex behavior.
Area of Science:
- Nonlinear Dynamics
- Complex Systems Analysis
- Stochastic Processes
Background:
- Coupled double-well Duffing oscillators exhibit complex on-off intermittent behavior under stochastic driving.
- Understanding and controlling such intermittency is crucial for predicting system dynamics.
Purpose of the Study:
- To investigate the elimination of on-off intermittency in coupled double-well Duffing oscillators.
- To analyze the influence of noise and control modulation on intermittent dynamics.
Main Methods:
- Utilizing slow harmonic modulation applied to an accessible system parameter.
- Investigating the impact of noise on the system's behavior.
- Analyzing power-law scaling of average laminar time near intermittency onset.
Main Results:
- Complete elimination of intermittent attractors was achieved through controlled modulation.
- Power-law scaling with a critical exponent of -1 was observed for average laminar time.
- The scaling behavior is dependent on both amplitude and frequency of the control modulation.
Conclusions:
- Slow harmonic modulation is an effective method for controlling on-off intermittency in coupled Duffing oscillators.
- The observed power-law scaling confirms the signature of on-off intermittency and provides insights into its onset.
- The findings contribute to the understanding of complex dynamics in nonlinear systems.