Abstract
Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while the remaining ones move incoherently. Here, we apply the idea of control to chimera states: using gradient dynamics to exploit drift of a chimera, it will attain any desired target position. Through control, chimera states become functionally relevant; for example, the controlled position of localized synchrony may encode information and perform computations. Since functional aspects are crucial in (neuro-)biology and technology, the localized synchronization of a chimera state becomes accessible to develop novel applications. Based on gradient dynamics, our control strategy applies to any suitable observable and can be generalized to arbitrary dimensions. Thus, the applicability of chimera control goes beyond chimera states in non-locally coupled systems.
Highlights
Collective behavior emerges in a broad range of oscillatory systems in nature and technological applications
Dynamical states consisting of locally phase-coherent and incoherent parts have been referred to as chimera states [7, 8], alluding to the fire-breathing Greek mythological creature composed of incongruous parts from different animals
Chimera states are relevant in a range of systems; they have been observed experimentally in mechanical,chemical, and laser systems [9,10,11,12], and related localized activity has been associated with neural dynamics [13,14,15,16,17,18,19,20,21,22,23,24]
Summary
Any further distribution of Coupled phase oscillators model a variety of dynamical phenomena in nature and technological this work must maintain applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part attribution to the author(s) and the title of of phase-synchronized oscillators while the remaining ones move incoherently. Idea of control to chimera states: using gradient dynamics to exploit drift of a chimera, it will attain any desired target position. Since functional aspects are crucial in (neuro-)biology and technology, the localized synchronization of a chimera state becomes accessible to develop novel applications. Our control strategy applies to any suitable observable and can be generalized to arbitrary dimensions. The applicability of chimera control goes beyond chimera states in non-locally coupled systems
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