Dynamical systems and turbulence, Warwick 1980 : proceedings of a symposium held at the University of Warwick 1979/80 / / edited by D. A. Rand and L. S. Young |
Edizione | [1st ed. 1981.] |
Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1981] |
Descrizione fisica | 1 online resource (VIII, 392 p.) |
Disciplina | 532.0527 |
Collana | Lecture notes in mathematics |
Soggetto topico | Turbulence |
ISBN | 3-540-38945-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Lectures on bifurcation from periodic orbits -- General introduction to steady state bifurcation -- Anosov diffeomorphisms with pinched spectrum -- Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case -- Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three -- A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks -- On a codimension two bifurcation -- Stability and bifurcation in a parabolic equation -- Wandering intervals -- Space- and time-periodic perturbations of the Sine-Gordon equation -- Simple computation of bifurcating invariant circles for mappings -- Families of vector fields with finite modulus of stability -- On the dimension of the compact invariant sets of certain non-linear maps -- More topological entropy for geodesic flows -- Controllability of multi-trajectories on Lie groups -- Characterising diffeomorphisms with modulus of stability one -- Algebraic Kupka-Smale theory -- Differentiability of the stable foliation for the model Lorenz equations -- On the bifurcations creating horseshoes -- Saddle connections of arcs of diffeomorphisms: Moduli of stability -- Detecting strange attractors in turbulence -- Local and simultaneous structural stability of certain diffeomorphisms. |
Record Nr. | UNISA-996466511903316 |
Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1981] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Strange attractors for periodically forced parabolic equations / / Kening Lu, Qiudong Wang, Lai-Sang Young |
Autore | Lu Kening <1962-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
Descrizione fisica | 1 online resource (85 p.) |
Disciplina | 515/.3534 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Attractors (Mathematics)
Differential equations, Parabolic Periodic functions |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-1005-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic Definitions and Facts""; ""2.1. Sectorial Operators""; ""2.2. Dynamical Systems Defined by Evolutionary Equations""; ""2.3. Hopf Bifurcations""; ""2.4. A Few Ideas from Dynamical Systems""; ""2.5. SRB Measures""; ""Chapter 3. Statement of Theorems""; ""3.1. Setting and Standing Hypotheses""; ""3.2. General Results for Periodically Forced Hopf Bifurcations""; ""3.3. An Application: The Brusselator""; ""3.4. Discussion of Results""; ""Chapter 4. Invariant Manifolds""; ""4.1. Standardizing the Linear Part of the Unforced Equation""
""4.2. Invariant Manifolds""""4.3. Trapping Regions""; ""Chapter 5. Canonical Form of Equations Around the Limit Cycle""; ""5.1. Normal Form of Hopf Bifurcation""; ""5.2. Blow-ups""; ""5.3. Final Adjustments""; ""5.4. Summary of Coordinate Transformations and Relevant Domains""; ""Chapter 6. Preliminary Estimates on Solutions of the Unforced Equation""; ""6.1. â?° Estimates""; ""6.2. ³ Bounds""; ""6.3. Approximate Form of Î?_{ } for Large ""; ""Chapter 7. Time- Map of Forced Equation and Derived 2-D System""; ""7.1. Approximate Form of Kick Map"" ""7.2. The Map _{ } and a Derived 2-D System""""7.3. Proofs of Theorems 3.2 and 3.5""; ""7.4. Further Analytic Preparation for Theorem 2""; ""Chapter 8. Strange Attractors with SRB Measures""; ""8.1. Review of Results from [WY1] and [WY4]""; ""8.2. Proof of Theorem 3.4""; ""Chapter 9. Application: The Brusselator""; ""9.1. The Dirichlet Case""; ""9.2. The Neumann Case""; ""Appendix A. Proofs of Propositions 3.1-3.3""; ""Appendix B. Proof of Proposition 7.5""; ""B.1. Extending the Domains of and ""; ""B.2. 2-D Invariant Manifold""; ""B.3. Proof of Proposition B.5"" ""Appendix C. Proofs of Proposition 8.1 and Lemma 8.2""""Bibliography"" |
Record Nr. | UNINA-9910480509403321 |
Lu Kening <1962-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Strange attractors for periodically forced parabolic equations / / Kening Lu, Qiudong Wang, Lai-Sang Young |
Autore | Lu Kening <1962-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
Descrizione fisica | 1 online resource (85 p.) |
Disciplina | 515/.3534 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Attractors (Mathematics)
Differential equations, Parabolic Periodic functions |
ISBN | 1-4704-1005-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic Definitions and Facts""; ""2.1. Sectorial Operators""; ""2.2. Dynamical Systems Defined by Evolutionary Equations""; ""2.3. Hopf Bifurcations""; ""2.4. A Few Ideas from Dynamical Systems""; ""2.5. SRB Measures""; ""Chapter 3. Statement of Theorems""; ""3.1. Setting and Standing Hypotheses""; ""3.2. General Results for Periodically Forced Hopf Bifurcations""; ""3.3. An Application: The Brusselator""; ""3.4. Discussion of Results""; ""Chapter 4. Invariant Manifolds""; ""4.1. Standardizing the Linear Part of the Unforced Equation""
""4.2. Invariant Manifolds""""4.3. Trapping Regions""; ""Chapter 5. Canonical Form of Equations Around the Limit Cycle""; ""5.1. Normal Form of Hopf Bifurcation""; ""5.2. Blow-ups""; ""5.3. Final Adjustments""; ""5.4. Summary of Coordinate Transformations and Relevant Domains""; ""Chapter 6. Preliminary Estimates on Solutions of the Unforced Equation""; ""6.1. â?° Estimates""; ""6.2. ³ Bounds""; ""6.3. Approximate Form of Î?_{ } for Large ""; ""Chapter 7. Time- Map of Forced Equation and Derived 2-D System""; ""7.1. Approximate Form of Kick Map"" ""7.2. The Map _{ } and a Derived 2-D System""""7.3. Proofs of Theorems 3.2 and 3.5""; ""7.4. Further Analytic Preparation for Theorem 2""; ""Chapter 8. Strange Attractors with SRB Measures""; ""8.1. Review of Results from [WY1] and [WY4]""; ""8.2. Proof of Theorem 3.4""; ""Chapter 9. Application: The Brusselator""; ""9.1. The Dirichlet Case""; ""9.2. The Neumann Case""; ""Appendix A. Proofs of Propositions 3.1-3.3""; ""Appendix B. Proof of Proposition 7.5""; ""B.1. Extending the Domains of and ""; ""B.2. 2-D Invariant Manifold""; ""B.3. Proof of Proposition B.5"" ""Appendix C. Proofs of Proposition 8.1 and Lemma 8.2""""Bibliography"" |
Record Nr. | UNINA-9910796031803321 |
Lu Kening <1962-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Strange attractors for periodically forced parabolic equations / / Kening Lu, Qiudong Wang, Lai-Sang Young |
Autore | Lu Kening <1962-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
Descrizione fisica | 1 online resource (85 p.) |
Disciplina | 515/.3534 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Attractors (Mathematics)
Differential equations, Parabolic Periodic functions |
ISBN | 1-4704-1005-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic Definitions and Facts""; ""2.1. Sectorial Operators""; ""2.2. Dynamical Systems Defined by Evolutionary Equations""; ""2.3. Hopf Bifurcations""; ""2.4. A Few Ideas from Dynamical Systems""; ""2.5. SRB Measures""; ""Chapter 3. Statement of Theorems""; ""3.1. Setting and Standing Hypotheses""; ""3.2. General Results for Periodically Forced Hopf Bifurcations""; ""3.3. An Application: The Brusselator""; ""3.4. Discussion of Results""; ""Chapter 4. Invariant Manifolds""; ""4.1. Standardizing the Linear Part of the Unforced Equation""
""4.2. Invariant Manifolds""""4.3. Trapping Regions""; ""Chapter 5. Canonical Form of Equations Around the Limit Cycle""; ""5.1. Normal Form of Hopf Bifurcation""; ""5.2. Blow-ups""; ""5.3. Final Adjustments""; ""5.4. Summary of Coordinate Transformations and Relevant Domains""; ""Chapter 6. Preliminary Estimates on Solutions of the Unforced Equation""; ""6.1. â?° Estimates""; ""6.2. ³ Bounds""; ""6.3. Approximate Form of Î?_{ } for Large ""; ""Chapter 7. Time- Map of Forced Equation and Derived 2-D System""; ""7.1. Approximate Form of Kick Map"" ""7.2. The Map _{ } and a Derived 2-D System""""7.3. Proofs of Theorems 3.2 and 3.5""; ""7.4. Further Analytic Preparation for Theorem 2""; ""Chapter 8. Strange Attractors with SRB Measures""; ""8.1. Review of Results from [WY1] and [WY4]""; ""8.2. Proof of Theorem 3.4""; ""Chapter 9. Application: The Brusselator""; ""9.1. The Dirichlet Case""; ""9.2. The Neumann Case""; ""Appendix A. Proofs of Propositions 3.1-3.3""; ""Appendix B. Proof of Proposition 7.5""; ""B.1. Extending the Domains of and ""; ""B.2. 2-D Invariant Manifold""; ""B.3. Proof of Proposition B.5"" ""Appendix C. Proofs of Proposition 8.1 and Lemma 8.2""""Bibliography"" |
Record Nr. | UNINA-9910812533303321 |
Lu Kening <1962-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|