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Related Experiment Video

Updated: May 29, 2026

CAPRRESI: Chimera Assembly by Plasmid Recovery and Restriction Enzyme Site Insertion

CAPRRESI: Chimera Assembly by Plasmid Recovery and Restriction Enzyme Site Insertion

Published on: June 25, 2017

Chimera states are chaotic transients.

Matthias Wolfrum¹, Oleh E Omel'chenko

¹Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 27, 2011

Summary

Chimera states in finite oscillator populations exhibit chaotic transients, collapsing into synchronized behavior. This differs from infinite systems, revealing transient dynamics in spatiotemporal chaos.

Area of Science:

Complex Systems
Nonlinear Dynamics
Statistical Physics

Background:

Spatiotemporal chaos and turbulence explain irregular physical system behavior.
Chimera states feature coexisting incoherent and synchronized motion in nonlocally coupled oscillators.
Previous studies focused on infinite oscillator populations (thermodynamic limit).

Purpose of the Study:

Investigate chimera states in finite-size oscillator populations.
Analyze properties using deterministic chaos concepts.
Characterize the behavior of chimera states in finite systems.

Main Methods:

Calculated the Lyapunov spectrum.
Applied concepts from deterministic chaos.
Studied finite populations of nonlocally coupled oscillators.

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Main Results:

Incoherent motion in finite systems appears as weak spatially extensive chaos.
Chimera states in small populations are transient, collapsing to coherence.
Identified chaotic transient properties similar to type-II supertransients.

Conclusions:

Chimera states in finite systems are chaotic transients.
Finite size effects are crucial for understanding chimera state dynamics.
Results challenge the stationary behavior assumption in the thermodynamic limit.