Global attractors of non-autonomous dynamical and control systems /:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
2014.
|
| Ausgabe: | 2nd edition. |
| Schriftenreihe: | Interdisciplinary mathematical series,
vol. 18 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1 online resource |
| ISBN: | 9789814619837 9814619833 |
| ISSN: | 1793-1355 ; |
Internformat
MARC
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| 100 | 1 | |a Cheban, David N. | |
| 245 | 1 | 0 | |a Global attractors of non-autonomous dynamical and control systems / |c by David N Cheban (State University of Moldova, Moldova). |
| 250 | |a 2nd edition. | ||
| 264 | 1 | |a New Jersey : |b World Scientific, |c 2014. | |
| 300 | |a 1 online resource | ||
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| 490 | 0 | |a Interdisciplinary mathematical series, |x 1793-1355 ; |v vol. 18 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a ""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"" | |
| 505 | 8 | |a ""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"" | |
| 505 | 8 | |a ""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"" | |
| 505 | 8 | |a ""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"" | |
| 505 | 8 | |a 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 | |
| 650 | 0 | |a Attractors (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh97005887 | |
| 650 | 0 | |a Differentiable dynamical systems. |0 http://id.loc.gov/authorities/subjects/sh85037882 | |
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 6 | |a Attracteurs (Mathématiques) | |
| 650 | 6 | |a Dynamique différentiable. | |
| 650 | 6 | |a Équations différentielles. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Attractors (Mathematics) |2 fast | |
| 650 | 7 | |a Differentiable dynamical systems |2 fast | |
| 650 | 7 | |a Differential equations |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Cheban, David N. |t Global attractors of non-autonomous dynamical and control systems. |b 2nd edition |z 9789814619820 |w (DLC) 2014037408 |w (OCoLC)891369430 |
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| 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 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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| discipline | Mathematik |
| edition | 2nd edition. |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:26Z |
| institution | BVB |
| isbn | 9789814619837 9814619833 |
| issn | 1793-1355 ; |
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| series2 | Interdisciplinary mathematical series, |
| spelling | Cheban, David N. Global attractors of non-autonomous dynamical and control systems / by David N Cheban (State University of Moldova, Moldova). 2nd edition. New Jersey : World Scientific, 2014. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Interdisciplinary mathematical series, 1793-1355 ; vol. 18 Print version record. ""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 Attractors (Mathematics) http://id.loc.gov/authorities/subjects/sh97005887 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Attracteurs (Mathématiques) Dynamique différentiable. Équations différentielles. MATHEMATICS Topology. bisacsh Attractors (Mathematics) fast Differentiable dynamical systems fast Differential equations fast Print version: Cheban, David N. Global attractors of non-autonomous dynamical and control systems. 2nd edition 9789814619820 (DLC) 2014037408 (OCoLC)891369430 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=942189 Volltext |
| spellingShingle | Cheban, David N. Global attractors of non-autonomous dynamical and control systems / ""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 Attractors (Mathematics) http://id.loc.gov/authorities/subjects/sh97005887 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Attracteurs (Mathématiques) Dynamique différentiable. Équations différentielles. MATHEMATICS Topology. bisacsh Attractors (Mathematics) fast Differentiable dynamical systems fast Differential equations fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh97005887 http://id.loc.gov/authorities/subjects/sh85037882 http://id.loc.gov/authorities/subjects/sh85037890 |
| title | Global attractors of non-autonomous dynamical and control systems / |
| title_auth | Global attractors of non-autonomous dynamical and control systems / |
| title_exact_search | Global attractors of non-autonomous dynamical and control systems / |
| title_full | Global attractors of non-autonomous dynamical and control systems / by David N Cheban (State University of Moldova, Moldova). |
| title_fullStr | Global attractors of non-autonomous dynamical and control systems / by David N Cheban (State University of Moldova, Moldova). |
| title_full_unstemmed | Global attractors of non-autonomous dynamical and control systems / by David N Cheban (State University of Moldova, Moldova). |
| title_short | Global attractors of non-autonomous dynamical and control systems / |
| title_sort | global attractors of non autonomous dynamical and control systems |
| topic | Attractors (Mathematics) http://id.loc.gov/authorities/subjects/sh97005887 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Attracteurs (Mathématiques) Dynamique différentiable. Équations différentielles. MATHEMATICS Topology. bisacsh Attractors (Mathematics) fast Differentiable dynamical systems fast Differential equations fast |
| topic_facet | Attractors (Mathematics) Differentiable dynamical systems. Differential equations. Attracteurs (Mathématiques) Dynamique différentiable. Équations différentielles. MATHEMATICS Topology. Differentiable dynamical systems Differential equations |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=942189 |
| work_keys_str_mv | AT chebandavidn globalattractorsofnonautonomousdynamicalandcontrolsystems |