Virtual Chimera States for Delayed-Feedback Systems

Laurent Larger (1) , Bogdan Penkovskyi (1) , Yuri Maistrenko (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

Time-delayed systems are found to display remarkable temporal patterns the dynamics of which split into regular and chaotic components repeating at the interval of a delay. This novel long-term behavior for delay dynamics results from strongly asymmetric nonlinear delayed feedback driving a highly damped harmonic oscillator dynamics. In the corresponding virtual space-time representation, the behavior is found to develop as a chimeralike state, a new paradigmatic object from the network theory characterized by the coexistence of synchronous and incoherent oscillations. Numerous virtual chimera states are obtained and analyzed, through experiment, theory, and simulations.

Domaines: Optique / photonique; Optique [physics.optics]

Laurent Larger, Bogdan Penkovskyi, Yuri Maistrenko. Virtual Chimera States for Delayed-Feedback Systems. Physical Review Letters, 2013, 111, pp.054103. ⟨10.1103/PhysRevLett.111.054103⟩. ⟨hal-00878675⟩