Is the Ott-Antonsen manifold attracting?
Jan R. Engelbrecht, Renato Mirollo
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