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Birhythmicity induced by perturbing an oscillating electrochemical system
M Rivera1, P Parmananda, M Eiswirth
1Facultad de Ciencias, UAEM, Avenida Universidad 1001, Col. Chamilpa, Cuernavaca, Morelos, Mexico.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
Summary
External periodic perturbations can create two new stable states in electrochemical systems. This birhythmicity phenomenon was observed in copper electrodissolution experiments and simulations.
Area of Science:
- Electrochemistry
- Nonlinear Dynamics
- Chemical Engineering
Background:
- Electrochemical systems can exhibit complex dynamics, including limit cycles.
- External periodic forcing is a common method to influence these dynamics.
- Understanding the emergence of multiple stable states (bistability) is crucial for controlling electrochemical processes.
Purpose of the Study:
- To investigate the generation of new limit cycles in electrochemical systems under external periodic perturbations.
- To demonstrate the inception of birhythmicity (bistability) from a single limit cycle.
- To validate simulation findings with experimental results.
Main Methods:
- Simulations of electrochemical systems using a nonharmonic forcing function.
- Experimental potentiostatic electrodissolution of copper in an acetate buffer.
- Analysis of system dynamics to identify coexisting periodic orbits.
Main Results:
- A single limit cycle in the unperturbed system can bifurcate into two coexisting periodic orbits under specific forcing parameters.
- The phenomenon of birhythmicity was successfully generated and observed.
- Experimental results confirmed the simulation predictions for copper electrodissolution.
Conclusions:
- External periodic perturbations can induce birhythmicity in electrochemical systems.
- The findings have implications for controlling and understanding complex electrochemical behaviors.
- This study provides a framework for exploring bistability in other nonlinear chemical systems.