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. The existence of linear invariant manifolds, defining different modes of spatiotemporal synchronization, is examined. The …
Persistent link: https://www.econbiz.de/10011050247
According to the Einstein cosmological principle, our universe is homogeneous and isotropic, i.e. its curvature is constant at any point and in any direction. On large scales, when all local irregularities are ignored, this assumption has been confirmed by astronomers. We show that there is no...
Persistent link: https://www.econbiz.de/10011051230
I study connected manifolds and prove that a proper map f: M -> M is globally invertible when it has a nonvanishing … Jacobian and the fundamental group pi (M) is finite. This includes finite and infinite dimensional manifolds. Reciprocally, if …
Persistent link: https://www.econbiz.de/10005619308
borders of the stable manifolds of saddle points. These corridors organize themselves in a very complicated way in the phase …
Persistent link: https://www.econbiz.de/10011060726
Persistent link: https://www.econbiz.de/10011336568