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Methods of qualitative theory in nonlinear dynamics . Part II [[electronic resource] /] / Leonid P. Shilnikov ... [et al.]
| Methods of qualitative theory in nonlinear dynamics . Part II [[electronic resource] /] / Leonid P. Shilnikov ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, 2001 |
| Descrizione fisica | 1 online resource (591 p.) |
| Disciplina |
514.74
514/.74 620.10401515355 |
| Altri autori (Persone) | ShilʹnikovL. P |
| Collana | World scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Nonlinear theories
Nonlinear mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-94825-X
9786611948252 981-279-855-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Introduction to Part II ; Chapter 7. STRUCTURALLY STABLE SYSTEMS ; 7.1. Rough systems on a plane. Andronov-Pontryagin theorem ; 7.2. The set of center motions ; 7.3. General classification of center motions ; 7.4. Remarks on roughness of high-order dynamical systems
7.5. Morse-Smale systems 7.6. Some properties of Morse-Smale systems ; Chapter 8. BIFURCATIONS OF DYNAMICAL SYSTEMS ; 8.1. Systems of first degree of non-roughness ; 8.2. Remarks on bifurcations of multi-dimensional systems 8.3. Structurally unstable homoclinic and heteroclinic orbits. Moduli of topological equivalence 8.4. Bifurcations in finite-parameter families of systems. Andronov's setup ; Chapter 9. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF EQUILIBRIUM STATES 9.1. The reduction theorems. The Lyapunov functions 9.2. The first critical case ; 9.3. The second critical case ; Chapter 10. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF PERIODIC TRAJECTORIES ; 10.1. The reduction of the Poincare map. Lyapunov functions 10.2. The first critical case 10.3. The second critical case ; 10.4. The third critical case. Weak resonances ; 10.5. Strong resonances ; 10.6. Passage through strong resonance on stability boundary ; 10.7. Additional remarks on resonances Chapter 11. LOCAL BIFURCATIONS ON THE ROUTE OVER STABILITY BOUNDARIES |
| Record Nr. | UNINA-9910453553603321 |
| Singapore ; ; River Edge, NJ, : World Scientific, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of qualitative theory in nonlinear dynamics . Part II [[electronic resource] /] / Leonid P. Shilnikov ... [et al.]
| Methods of qualitative theory in nonlinear dynamics . Part II [[electronic resource] /] / Leonid P. Shilnikov ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, 2001 |
| Descrizione fisica | 1 online resource (591 p.) |
| Disciplina |
514.74
514/.74 620.10401515355 |
| Altri autori (Persone) | ShilʹnikovL. P |
| Collana | World scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Nonlinear theories
Nonlinear mechanics |
| ISBN |
1-281-94825-X
9786611948252 981-279-855-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Introduction to Part II ; Chapter 7. STRUCTURALLY STABLE SYSTEMS ; 7.1. Rough systems on a plane. Andronov-Pontryagin theorem ; 7.2. The set of center motions ; 7.3. General classification of center motions ; 7.4. Remarks on roughness of high-order dynamical systems
7.5. Morse-Smale systems 7.6. Some properties of Morse-Smale systems ; Chapter 8. BIFURCATIONS OF DYNAMICAL SYSTEMS ; 8.1. Systems of first degree of non-roughness ; 8.2. Remarks on bifurcations of multi-dimensional systems 8.3. Structurally unstable homoclinic and heteroclinic orbits. Moduli of topological equivalence 8.4. Bifurcations in finite-parameter families of systems. Andronov's setup ; Chapter 9. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF EQUILIBRIUM STATES 9.1. The reduction theorems. The Lyapunov functions 9.2. The first critical case ; 9.3. The second critical case ; Chapter 10. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF PERIODIC TRAJECTORIES ; 10.1. The reduction of the Poincare map. Lyapunov functions 10.2. The first critical case 10.3. The second critical case ; 10.4. The third critical case. Weak resonances ; 10.5. Strong resonances ; 10.6. Passage through strong resonance on stability boundary ; 10.7. Additional remarks on resonances Chapter 11. LOCAL BIFURCATIONS ON THE ROUTE OVER STABILITY BOUNDARIES |
| Record Nr. | UNINA-9910782275603321 |
| Singapore ; ; River Edge, NJ, : World Scientific, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of qualitative theory in nonlinear dynamics . Part II [[electronic resource] /] / Leonid P. Shilnikov ... [et al.]
| Methods of qualitative theory in nonlinear dynamics . Part II [[electronic resource] /] / Leonid P. Shilnikov ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, 2001 |
| Descrizione fisica | 1 online resource (591 p.) |
| Disciplina |
514.74
514/.74 620.10401515355 |
| Altri autori (Persone) | ShilʹnikovL. P |
| Collana | World scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Nonlinear theories
Nonlinear mechanics |
| ISBN |
1-281-94825-X
9786611948252 981-279-855-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Introduction to Part II ; Chapter 7. STRUCTURALLY STABLE SYSTEMS ; 7.1. Rough systems on a plane. Andronov-Pontryagin theorem ; 7.2. The set of center motions ; 7.3. General classification of center motions ; 7.4. Remarks on roughness of high-order dynamical systems
7.5. Morse-Smale systems 7.6. Some properties of Morse-Smale systems ; Chapter 8. BIFURCATIONS OF DYNAMICAL SYSTEMS ; 8.1. Systems of first degree of non-roughness ; 8.2. Remarks on bifurcations of multi-dimensional systems 8.3. Structurally unstable homoclinic and heteroclinic orbits. Moduli of topological equivalence 8.4. Bifurcations in finite-parameter families of systems. Andronov's setup ; Chapter 9. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF EQUILIBRIUM STATES 9.1. The reduction theorems. The Lyapunov functions 9.2. The first critical case ; 9.3. The second critical case ; Chapter 10. THE BEHAVIOR OF DYNAMICAL SYSTEMS ON STABILITY BOUNDARIES OF PERIODIC TRAJECTORIES ; 10.1. The reduction of the Poincare map. Lyapunov functions 10.2. The first critical case 10.3. The second critical case ; 10.4. The third critical case. Weak resonances ; 10.5. Strong resonances ; 10.6. Passage through strong resonance on stability boundary ; 10.7. Additional remarks on resonances Chapter 11. LOCAL BIFURCATIONS ON THE ROUTE OVER STABILITY BOUNDARIES |
| Record Nr. | UNINA-9910810893403321 |
| Singapore ; ; River Edge, NJ, : World Scientific, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||