| Edition |
2nd edition. |
| Description |
1 online resource. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Interdisciplinary mathematical series,
1793-1355 ;
vol. 18
|
| Contents |
""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 Levinson�s center""; ""1.10 Weak attractors and center of Levinson"" |
|
""1.11 Birkhoff�s center""""1.12 Asymptotic stability""; ""2. Non-autonomous dissipative dynamical systems""; ""2.1 On the stability of Levinson�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 Lyapunov�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 Cameron�Johnson�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 Levinson�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 Barbashin�Krasovskii for non-autonomous dynamical systems"" |
|
""5.4 Equations with convergence""""5.5 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"" |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Attractors (Mathematics)
|
|
Attractors (Mathematics) |
|
Differentiable dynamical systems.
|
|
Differentiable dynamical systems. |
|
Differential equations.
|
|
Differential equations. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Other Form: |
Print version: Cheban, David N. Global attractors of non-autonomous dynamical and control systems. 2nd edition 9789814619820 (DLC) 2014037408 (OCoLC)891369430 |
| ISBN |
9789814619837 electronic book |
|
9814619833 electronic book |
|
9789814619820 |
|
9814619825 |
|
