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Linear differential equations --- Generalized spaces --- Differential equations, Linear. --- Banach spaces --- Differential equations, Linear --- 51 --- Linear systems --- Functions of complex variables --- Topology --- 51 Mathematics --- Mathematics --- Analytical spaces --- Banach spaces. --- Analyse fonctionnelle --- Functional analysis --- Functional analysis. --- Equations differentielles lineaires

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Group theory --- Functional analysis --- Differential equations, Linear. --- Differential algebraic groups --- Galois theory. --- Equations différentielles linéaires --- Groupes algébriques différentiels --- Théorie de Galois --- Differential algebraic groups. --- 51 <082.1> --- Mathematics--Series --- Equations différentielles linéaires --- Groupes algébriques différentiels --- Théorie de Galois --- Differential equations, Linear --- Galois theory --- Equations, Theory of --- Number theory --- Linear differential equations --- Linear systems --- Algebraic groups, Differential --- Differential algebra --- Corps algébriques --- Valuations, Théorie des --- Valuation theory --- Algebraic fields

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Publisher description

Partial differential equations --- Differential equations, Linear --- Cauchy problem --- Équations aux dérivées partielles linéaires --- Cauchy, Problème de --- Differential equations, Partial. --- Differential equations, Linear. --- Linear partial differential equations. --- Differential equations, Partial --- 517.9 --- #TELE:d.d. Prof. A. J. J. Oosterlinck --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Équations aux dérivées partielles --- Cauchy problem. --- Équations aux dérivées partielles linéaires. --- Cauchy, Problème de --- Équations aux dérivées partielles. --- Équations aux dérivées partielles. --- Équations aux dérivées partielles linéaires. --- Equations aux derivees partielles --- Problemes aux limites

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Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed.

Differentiable dynamical systems. --- Differential equations, Linear. --- Bifurcation theory. --- Dynamique différentiable --- Equations différentielles linéaires --- Théorie de la bifurcation --- Electronic books. -- local. --- Differentiable dynamical systems --- Differential equations, Linear --- Bifurcation theory --- Mathematics --- Mathematical Theory --- Calculus --- Physical Sciences & Mathematics --- Linear differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Mathematics. --- Dynamics. --- Ergodic theory. --- Differential equations. --- Ordinary Differential Equations. --- Dynamical Systems and Ergodic Theory. --- 517.91 Differential equations --- Differential equations --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Math --- Science --- Differential equations, Nonlinear --- Stability --- Linear systems --- Global analysis (Mathematics) --- Topological dynamics --- Numerical solutions --- Differential Equations.

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Electric networks --- Electrical engineering --- System Analysis --- Mathematics --- 519.7 --- Electric engineering --- -Electric networks --- Linear systems --- System analysis --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Systems, Linear --- Differential equations, Linear --- Networks, Electric --- Electric circuits --- Electric lines --- Electric power distribution --- Engineering --- Mathematical cybernetics --- Electric networks. --- Linear systems. --- System analysis. --- Mathematics. --- 519.7 Mathematical cybernetics --- Engineering mathematics --- Network analysis --- Network science --- Electrical engineering - Mathematics