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Chimera states and the interplay between initial conditions and non-local coupling
Peter Kalle1, Jakub Sawicki1, Anna Zakharova1
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
Chaos (Woodbury, N.Y.)
|April 3, 2017
Summary
Researchers explored complex chimera states in coupled Stuart-Landau oscillators. Initial conditions and coupling significantly influence these spatio-temporal patterns, affecting their dynamics and transitions.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Chimera states are complex spatio-temporal patterns characterized by coexisting domains of coherent and incoherent dynamics.
- Understanding the formation and control of chimera states is crucial for various fields, including neuroscience and physics.
Purpose of the Study:
- To investigate the occurrence and characteristics of chimera states in a network of non-locally coupled Stuart-Landau oscillators.
- To analyze the influence of initial conditions, coupling phase, and coupling strength on chimera state formation.
- To elucidate the transition mechanisms between phase-mediated and amplitude-mediated chimera states.
Main Methods:
- Utilized a network model of non-locally coupled Stuart-Landau oscillators.
- Performed numerical simulations to observe spatio-temporal dynamics.
- Employed analytical arguments to understand the role of coupling parameters.
Main Results:
- Demonstrated that initial conditions and non-local coupling significantly impact chimera state formation.
- Established a link between coupling phase, coupling strength, and the emergence of chimera states.
- Observed flipped profiles of the mean phase velocity.
- Identified the transition from phase-mediated to amplitude-mediated chimera states.
Conclusions:
- Chimera states in non-locally coupled Stuart-Landau oscillators are sensitive to initial conditions and coupling parameters.
- Coupling phase and strength are key determinants for the existence and type of chimera states.
- The study provides insights into the complex dynamics and transitions of chimera states.
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