Titlebook: Bifurcation and Chaos; Theory and Applicati Jan Awrejcewicz Book 1995 Springer-Verlag Berlin Heidelberg 1995 bifurcation.chaos.dynamics.non

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On the Complete Characterization of Chaotic Attractors,stems. It includes problems of scaling behaviour (scale invariance and nonunified thermodynamic formalism), the unified approach (the generalized entropy function and hyperbolic models with complete grammars) and proposed extensions (convergence properties, influence of grammar, nonhyperbolicity and phase transitions).

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New Numerical Methods for High Dimensional Hopf Bifurcation Problems,n is reduced to the study of the local behavior near the singular points of the vector field. In the case of the Hopf bifurcation, the problem is reduced to searching for a pair of complex conjugate eigenvalues with maximum norm of a matrix. Two examples support the introduced theory.

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978-3-642-79331-8Springer-Verlag Berlin Heidelberg 1995

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