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Central Configurations, Periodic Orbits, and Hamiltonian Systems [[electronic resource] /] / by Jaume Llibre, Richard Moeckel, Carles Simó
| Central Configurations, Periodic Orbits, and Hamiltonian Systems [[electronic resource] /] / by Jaume Llibre, Richard Moeckel, Carles Simó |
| Autore | Llibre Jaume |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2015 |
| Descrizione fisica | 1 online resource (VIII, 232 p. 40 illus., 5 illus. in color.) |
| Disciplina | 515.39 |
| Collana | Advanced Courses in Mathematics - CRM Barcelona |
| Soggetto topico |
Differential equations
Dynamics Ergodic theory Mathematical physics Physics Ordinary Differential Equations Dynamical Systems and Ergodic Theory Mathematical Applications in the Physical Sciences Mathematical Methods in Physics |
| ISBN | 3-0348-0933-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 The Averaging Theory for Computing Periodic Orbits -- Introduction: the classical theory -- Averaging theory for arbitrary order and dimension -- Three applications of Theorem -- 2 Lectures on Central Configurations -- The n-body problem -- Symmetries and integrals -- Central configurations and self-similar solutions -- Matrix equations of motion -- Homographic motions of central configurations in Rd -- Albouy-Chenciner reduction and relative equilibria in Rd -- Homographic motions in Rd -- Central configurations as critical points -- Collinear central configurations -- Morse indices of non-collinear central configurations -- Morse theory for CC's and SBC's -- Dziobek configurations -- Convex Dziobek central configurations -- Generic finiteness for Dziobek central configurations -- Some open problems -- 3 Dynamical Properties of Hamiltonian Systems -- Introduction -- Low dimension -- Some theoretical results, their implementation and practical tools -- Applications to Celestial Mechanics. |
| Record Nr. | UNINA-9910300246103321 |
Llibre Jaume
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| Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dynamics through first-order differential equations in the configuration space / / Jaume Llibre, Rafael Ramírez, and Valentín Ramírez
| Dynamics through first-order differential equations in the configuration space / / Jaume Llibre, Rafael Ramírez, and Valentín Ramírez |
| Autore | Llibre Jaume |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (360 pages) |
| Disciplina | 620.104 |
| Soggetto topico |
Configuration space
Differential equations Dynamics - Mathematics Dinàmica Equacions diferencials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031270956
9783031270949 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter. 1. Dynamics via the first order ordinary differential equations -- Chapter. 2. Constrained Cartesian vector fields -- Chapter. 3. Three dimensional constrained Cartesian vector fields -- Chapter. 4. Cartesian-Synge-Cinsov vector field -- Chapter. 5. Generalized Cartesian-Nambu vector fields -- Chapter. 6. Integrability of generalized Cartesian-Nambu vector fields. |
| Record Nr. | UNINA-9910717417203321 |
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Llibre Jaume
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to the Qualitative Theory of Differential Systems [[electronic resource] ] : Planar, Symmetric and Continuous Piecewise Linear Systems / / by Jaume Llibre, Antonio E. Teruel
| Introduction to the Qualitative Theory of Differential Systems [[electronic resource] ] : Planar, Symmetric and Continuous Piecewise Linear Systems / / by Jaume Llibre, Antonio E. Teruel |
| Autore | Llibre Jaume |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Basel : , : Springer Basel : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XIII, 289 p. 84 illus., 1 illus. in color.) |
| Disciplina | 515.352 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Differential equations
System theory Partial differential equations Ordinary Differential Equations Systems Theory, Control Partial Differential Equations |
| ISBN | 3-0348-0657-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1 Introduction and statement of the main results -- 2 Basic elements of the qualitative theory of ODEs -- 3 Fundamental systems -- 4 Return maps -- 5 Phase portraits -- Index -- Bibliography. . |
| Record Nr. | UNINA-9910300150003321 |
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Llibre Jaume
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| Basel : , : Springer Basel : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Inverse Problems in Ordinary Differential Equations and Applications [[electronic resource] /] / by Jaume Llibre, Rafael Ramírez
| Inverse Problems in Ordinary Differential Equations and Applications [[electronic resource] /] / by Jaume Llibre, Rafael Ramírez |
| Autore | Llibre Jaume |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 |
| Descrizione fisica | 1 online resource (275 p.) |
| Disciplina | 510 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Differential equations
Ordinary Differential Equations |
| ISBN | 3-319-26339-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1.Differential Equations with Given Partial and First Integrals -- 2.Polynomial Vector Fields with Given Partial and First Integrals -- 3.16th Hilbert Problem for Algebraic Limit Cycles -- 4.Inverse Problem for Constrained Lagrangian Systems -- 5.Inverse Problem for Constrained Hamiltonian Systems -- 6.Integrability of the Constrained Rigid Body -- 7.Inverse Problem in the Vakonomic Mechanics -- Index -- Bibliography. |
| Record Nr. | UNINA-9910254069303321 |
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Llibre Jaume
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes
| Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes |
| Autore | Llibre Jaume |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (206 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Perturbation (Mathematics) Foliations (Mathematics) Invariant manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0090-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""CHAPTER I: INTRODUCTION AND STATEMENT OF THE RESULTS""; ""CHAPTER II: BIFURCATIONS""; ""1. Hamiltonian systems with two degrees of freedom associated to central potentials""; ""1.1. Preliminary results on Hamiltonian systems""; ""1.2. Definitions and basic properties""; ""2. Study of the bifurcation set â??[sub(HC)]""; ""2.1. The set A""; ""2.2. The set B""; ""2.3. The set Ï?(HC)""; ""2.4. Simple bifurcations""; ""3. Classification of the simple bifurcations""; ""3.1. The bifurcations of â??'[sub(HC) â?© Ï?(H,C)""; ""3.2. The bifurcations of â??'[sub(HC) â?© B""
""3.3. Stability of the simple foliations""""CHAPTER IV: THE PERTURBEB HAMILTONIAN""; ""1. Persistence of the separatrix structures""; ""1.1. Persistence of the circular orbits""; ""1.2. Persistence of the singularity manifolds""; ""1.3. Persistence of the invariant manifolds associated to invariant circles""; ""2. Transversal ejection - collision orbits""; ""3. Persistence of invariant tori and cylinders""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480337403321 |
|
Llibre Jaume
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes
| Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes |
| Autore | Llibre Jaume |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (206 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Perturbation (Mathematics) Foliations (Mathematics) Invariant manifolds |
| ISBN | 1-4704-0090-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""CHAPTER I: INTRODUCTION AND STATEMENT OF THE RESULTS""; ""CHAPTER II: BIFURCATIONS""; ""1. Hamiltonian systems with two degrees of freedom associated to central potentials""; ""1.1. Preliminary results on Hamiltonian systems""; ""1.2. Definitions and basic properties""; ""2. Study of the bifurcation set â??[sub(HC)]""; ""2.1. The set A""; ""2.2. The set B""; ""2.3. The set Ï?(HC)""; ""2.4. Simple bifurcations""; ""3. Classification of the simple bifurcations""; ""3.1. The bifurcations of â??'[sub(HC) â?© Ï?(H,C)""; ""3.2. The bifurcations of â??'[sub(HC) â?© B""
""3.3. Stability of the simple foliations""""CHAPTER IV: THE PERTURBEB HAMILTONIAN""; ""1. Persistence of the separatrix structures""; ""1.1. Persistence of the circular orbits""; ""1.2. Persistence of the singularity manifolds""; ""1.3. Persistence of the invariant manifolds associated to invariant circles""; ""2. Transversal ejection - collision orbits""; ""3. Persistence of invariant tori and cylinders""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788753603321 |
|
Llibre Jaume
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes
| Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations / / Jaume Llibre, Ana Nunes |
| Autore | Llibre Jaume |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (206 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Perturbation (Mathematics) Foliations (Mathematics) Invariant manifolds |
| ISBN | 1-4704-0090-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""CHAPTER I: INTRODUCTION AND STATEMENT OF THE RESULTS""; ""CHAPTER II: BIFURCATIONS""; ""1. Hamiltonian systems with two degrees of freedom associated to central potentials""; ""1.1. Preliminary results on Hamiltonian systems""; ""1.2. Definitions and basic properties""; ""2. Study of the bifurcation set â??[sub(HC)]""; ""2.1. The set A""; ""2.2. The set B""; ""2.3. The set Ï?(HC)""; ""2.4. Simple bifurcations""; ""3. Classification of the simple bifurcations""; ""3.1. The bifurcations of â??'[sub(HC) â?© Ï?(H,C)""; ""3.2. The bifurcations of â??'[sub(HC) â?© B""
""3.3. Stability of the simple foliations""""CHAPTER IV: THE PERTURBEB HAMILTONIAN""; ""1. Persistence of the separatrix structures""; ""1.1. Persistence of the circular orbits""; ""1.2. Persistence of the singularity manifolds""; ""1.3. Persistence of the invariant manifolds associated to invariant circles""; ""2. Transversal ejection - collision orbits""; ""3. Persistence of invariant tori and cylinders""; ""REFERENCES"" |
| Record Nr. | UNINA-9910817228303321 |
|
Llibre Jaume
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||