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Is the Ott-Antonsen manifold attracting?

Jan R. Engelbrecht, Renato Mirollo

2020Physical Review Research28 citationsDOIOpen Access PDF

Abstract

The authors address the question of whether the Ott-Antonsen manifold is attracting in the full state space, and show that for models with a finite number of populations, the answer is no. The paper shows how the dynamic outside the manifold is more complicated than within in an example with chimera states

Topics & Concepts

Manifold (fluid mechanics)PsychologyEngineeringMechanical engineeringNonlinear Dynamics and Pattern FormationEcosystem dynamics and resilienceChaos control and synchronization
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