Highly Influenced

@article{Belykh2000HierarchyAS, title={Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems}, author={Belykh and Hasler}, journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics}, year={2000}, volume={62 5 Pt A}, pages={6332-45} }

- Published 2000 in Physical review. E, Statistical physics, plasmas…

The paper presents a qualitative analysis of an array of diffusively coupled identical continuous time dynamical systems. The effects of full, partial, antiphase, and in-phase-antiphase chaotic synchronizations are investigated via the linear invariant manifolds of the corresponding differential equations. The existence of various invariant manifolds, a self-similar behavior, and a hierarchy and embedding of the manifolds of the coupled system are discovered. Sufficient conditions for the… CONTINUE READING

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