Global attractors of non-autonomous dynamical and control systems /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cheban, David N.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, 2014.
Edición:2nd edition.
Colección:Interdisciplinary mathematical series, vol. 18
Temas:
Attractors (Mathematics)
Differentiable dynamical systems.
Differential equations.
Attracteurs (Mathématiques)
Dynamique différentiable.
Équations différentielles.
MATHEMATICS > Topology.
Differentiable dynamical systems
Differential equations
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Preface to the Second Edition""; ""Preface to the First Edition""; ""0.1 Notations""; ""1. Stability of autonomous dynamical systems""; ""1.1 Some notions, notations and facts from theory of dynamical systems""; ""1.2 Limit properties of dynamical systems""; ""1.3 Center of Levinson""; ""1.4 Dissipative systems on the local compact spaces""; ""1.5 Criteria of compact dissipativity""; ""1.6 Local dissipative systems""; ""1.7 Global attractors""; ""1.8 On a problem of J. Hale""; ""1.9 Connectedness of the Levinsonâ€?s center""; ""1.10 Weak attractors and center of Levinson""
  • ""1.11 Birkhoffâ€?s center""""1.12 Asymptotic stability""; ""2. Non-autonomous dissipative dynamical systems""; ""2.1 On the stability of Levinsonâ€?s center""; ""2.2 The positively stable systems""; ""2.3 Behavior of dissipative dynamical systems under homomorphisms""; ""2.4 Non-autonomous dynamical systems with convergence""; ""2.5 Tests for convergence""; ""2.6 Global attractors of non-autonomous dynamical systems""; ""2.7 Global attractor of cocycles""; ""2.8 Global attractors of non-autonomous dynamical system with minimal base""; ""2.9 Homogeneous dynamical systems""
  • ""2.10 Power-law asymptotic of homogeneous systems""""2.11 Linear systems""; ""3. Analytic dissipative systems""; ""3.1 Skew-product dynamical systems and cocycles""; ""3.2 C-analytic systems""; ""3.3 Converse of Lyapunovâ€?s theorem for C-analytic systems""; ""3.4 On the structure of compact attracting sets of C-analytic systems""; ""3.5 Dynamical systems in spaces of sections""; ""3.6 Quasi-periodic solutions""; ""3.7 The analogy of Cameronâ€?Johnsonâ€?s theorem""; ""3.8 Almost periodic solutions of the weak nonlinear dissipative systems""
  • ""4. The structure of the Levinson center of system with the condition of the hyperbolicity""""4.1 The chain recurrent motions""; ""4.2 The spectral decomposition of the Levinsonâ€?s center""; ""4.3 One-dimensional systems with hyperbolic center""; ""4.4 The dissipative cascades""; ""4.5 The periodic dissipative systems""; ""5. Method of Lyapunov functions""; ""5.1 Criteria of dissipativity in term of Lyapunov functions""; ""5.2 Some criteria of dissipativity of differential equations""; ""5.3 Theorem of Barbashinâ€?Krasovskii for non-autonomous dynamical systems""
  • 5.4 Equations with convergence5.5 Dissipativity and convergence of some equations of 2nd and 3rd order
  • 5.6 Construction of Lyapunov function for homogeneous systems
  • 5.7 Differentiable homogeneous systems
  • 5.8 Global attractors of quasi-homogeneous systems
  • 6. Dissipativity of some classes of equations
  • 6.1 Difference equations
  • 6.2 Equations with impulse
  • 6.3 Convergent periodic equations with impulse
  • 6.4 Asymptotic stability of linear functional differential equations
  • 6.5 Convergence of monotone evolutionary equations

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