Invariant manifolds and cluster synchronization in a family of locally coupled map lattices.
Belykh, Vladimir, Belykh, Igor, Komrakov, Nikolai, Mosekilde, Erik (2000)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium”
Invariant manifolds and cluster synchronization in a family of locally coupled map lattices.
Analysis of an on-off intermittency system with adjustable state levels
Shi-Jian Cang, Zeng-Qiang Chen, Zhu Zhi Yuan (2008)
Kybernetika
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We consider a chaotic system with a double-scroll attractor proposed by Elwakil, composing with a second-order system, which has low-dimensional multiple invariant subspaces and multi-level on-off intermittency. This type of composite system always includes a skew-product structure and some invariant subspaces, which are associated with different levels of laminar phase. In order for the level of laminar phase be adjustable, we adopt a nonlinear function with saturation characteristic...
Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds
Sebastian Goette (2014)
Journal of the European Mathematical Society
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As an application, we compute the Eells–Kuiper and t-invariants of certain cohomogeneity one manifolds that were studied by Dearricott, Grove, Verdiani, Wilking, and Ziller. In particular, we determine the diffeomorphism type of a new manifold of positive sectional curvature.
Invariant manifolds for flows
Kurzweil, J.
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A global invariant for three dimensional CR-manifolds.
D.M. Jr. Burns, C.L. Epstein (1988)
Inventiones mathematicae
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