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Virtual Chimera States for Delayed-Feedback Systems
Laurent Larger (Centre National de la Recherche Scientifique, Franche-Comté Électronique Mécanique Thermique et Optique - Sciences et Technologies), Bogdan Penkovsky (National University of Kyiv-Mohyla Academy, Centre National de la Recherche Scientifique), YURI L. MAISTRENKO (Centre National de la Recherche Scientifique, National Academy of Sciences of Ukraine)
Abstract: 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.