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Chichilnisky, Graciela - Volkswirtschaftliche Fakultät, … - 1997

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

Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators

Belykh, V.N.; Belykh, I.V.; Nelvidin, K.V. - In: Mathematics and Computers in Simulation (MATCOM) 58 (2002) 4, pp. 477-492

. The existence of linear invariant manifolds, defining different modes of spatiotemporal synchronization, is examined. The …

Persistent link: https://www.econbiz.de/10011050247

On the nonexistence of a Lobachevsky geometry model of an isotropic and homogeneous universe

Křı́žek, Michal; Pradlová, Jana - In: Mathematics and Computers in Simulation (MATCOM) 61 (2003) 3, pp. 525-535

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

Dynamical properties for a mixed Fermi accelerator model

Tavares, Danila F.; Araujo, A.D.; Leonel, Edson D.; … - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 19, pp. 4231-4241

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