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Recurrence analysis of strange nonchaotic dynamics in driven excitable systems
E J Ngamga1, A Buscarino, M Frasca
1Nonlinear Dynamics Group, Institute of Physics, University of Potsdam, Potsdam 14415, Germany.
Chaos (Woodbury, N.Y.)
|April 2, 2008
Summary
Strange nonchaotic attractors (SNAs) are found in quasiperiodically forced systems. Recurrence plot complexity measures effectively detect transitions to SNAs in continuous-time systems and experimental data.
Area of Science:
- Nonlinear dynamics
- Chaos theory
- Complex systems analysis
Background:
- Strange nonchaotic attractors (SNAs) are a known phenomenon in quasiperiodically forced systems.
- These systems can be diverse, including maps and continuous-time models.
- Recurrence plot complexity measures have emerged as tools for analyzing system dynamics.
Purpose of the Study:
- To investigate the efficacy of recurrence plot complexity measures.
- To detect transitions to strange nonchaotic attractors (SNAs).
- Focus on continuous-time systems and experimental models.
Main Methods:
- Application of recurrence plot complexity measures.
- Analysis of quasiperiodically forced continuous-time systems.
- Examination of experimental time series data.
Main Results:
- Recurrence measures successfully detect transitions to SNAs.
- Demonstrated performance in quasiperiodically forced excitable systems.
- Validated effectiveness with experimental time series.
Conclusions:
- Recurrence plot complexity measures are reliable indicators of SNA transitions.
- These methods are applicable to continuous-time systems and real-world experimental data.
- Provides a robust tool for analyzing complex dynamical systems.
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