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Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser
| Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser |
| Autore | Moser Jurgen |
| Edizione | [With a New foreword by Philip J. Holmes] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (212 pages) : illustrations |
| Disciplina | 521/.1 |
| Collana | Princeton Landmarks in Mathematics and Physics |
| Soggetto topico | Celestial mechanics |
| Soggetto non controllato |
Accuracy and precision
Action-angle coordinates Analytic function Bounded variation Calculation Chaos theory Coefficient Commutator Constant term Continuous embedding Continuous function Coordinate system Countable set Degrees of freedom (statistics) Degrees of freedom Derivative Determinant Differentiable function Differential equation Dimension (vector space) Discrete group Divergent series Divisor Duffing equation Eigenfunction Eigenvalues and eigenvectors Elliptic orbit Energy level Equation Ergodic theory Ergodicity Euclidean space Even and odd functions Existence theorem Existential quantification First-order partial differential equation Forcing function (differential equations) Fréchet derivative Gravitational constant Hamiltonian mechanics Hamiltonian system Hessian matrix Heteroclinic orbit Homoclinic orbit Hyperbolic partial differential equation Hyperbolic set Initial value problem Integer Integrable system Integration by parts Invariant manifold Inverse function Invertible matrix Iteration Jordan curve theorem Klein bottle Lie algebra Linear map Linear subspace Linearization Maxima and minima Monotonic function Newton's method Nonlinear system Normal bundle Normal mode Open set Parameter Partial differential equation Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Poincaré conjecture Polynomial Probability theory Proportionality (mathematics) Quasiperiodic motion Rate of convergence Rational dependence Regular element Root of unity Series expansion Sign (mathematics) Smoothness Special case Stability theory Statistical mechanics Structural stability Symbolic dynamics Symmetric matrix Tangent space Theorem Three-body problem Uniqueness theorem Unitary matrix Variable (mathematics) Variational principle Vector field Zero of a function |
| ISBN | 1-4008-8269-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLES |
| Record Nr. | UNINA-9910164944903321 |
Moser Jurgen
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Thermodynamics [[electronic resource] ] : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
| Thermodynamics [[electronic resource] ] : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
| Autore | Haddad Wassim M. <1961-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2005 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 536/.7 |
| Altri autori (Persone) |
ChellaboinaVijaySekhar <1970->
NersesovSergey G. <1976-> |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Thermodynamics - Mathematics
Differentiable dynamical systems |
| Soggetto non controllato |
Addition
Adiabatic process Applied mathematics Arthur Eddington Asymmetry Available energy (particle collision) Axiom Balance equation Banach space Boltzmann's entropy formula Brillouin scattering Carnot cycle Classical mechanics Clausius (crater) Compact space Conservation law Conservation of energy Constant of integration Continuous function (set theory) Continuous function Control theory Deformation (mechanics) Derivative Diathermal wall Diffeomorphism Differentiable function Diffusion process Dimension (vector space) Dimension Dissipation Dot product Dynamical system Emergence Energy density Energy level Energy storage Energy Entropy Equation Equations of motion Equilibrium point Equilibrium thermodynamics Equipartition theorem Existential quantification First law of thermodynamics Hamiltonian mechanics Heat capacity Heat death of the universe Heat flux Heat transfer Homeomorphism Hydrogen atom Ideal gas Inequality (mathematics) Infimum and supremum Infinitesimal Initial condition Instant Internal energy Irreversible process Isolated system Kinetic theory of gases Laws of thermodynamics Linear dynamical system Lipschitz continuity Local boundedness Lyapunov function Lyapunov stability Mathematical optimization Mathematics Molecule Non-equilibrium thermodynamics Operator norm Probability Quantity Reversible process (thermodynamics) Second law of thermodynamics Semi-infinite Smoothness State variable State-space representation Statistical mechanics Steady state Summation Supply (economics) Systems theory Temperature Theorem Theoretical physics Theory Thermal conduction Thermal equilibrium Thermodynamic equilibrium Thermodynamic process Thermodynamic state Thermodynamic system Thermodynamic temperature Thermodynamics Time evolution Zeroth law of thermodynamics |
| ISBN |
1-68015-904-6
1-282-15830-9 9786612158308 1-4008-2697-7 |
| Classificazione | UG 1000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Dynamical System Theory -- Chapter 3. A Systems Foundation for Thermodynamics -- Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter 5. Work, Heat, and the Carnot Cycle -- Chapter 6. Thermodynamic Systems with Linear Energy Exchange -- Chapter 7. Continuum Thermodynamics -- Chapter 8. Conclusion -- Bibliography -- Index |
| Record Nr. | UNINA-9910778220303321 |
|
Haddad Wassim M. <1961->
|
||
| Princeton, : Princeton University Press, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thermodynamics : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
| Thermodynamics : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
| Autore | Haddad Wassim M. <1961-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2005 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 536/.7 |
| Altri autori (Persone) |
ChellaboinaVijaySekhar <1970->
NersesovSergey G. <1976-> |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Thermodynamics - Mathematics
Differentiable dynamical systems |
| Soggetto non controllato |
Addition
Adiabatic process Applied mathematics Arthur Eddington Asymmetry Available energy (particle collision) Axiom Balance equation Banach space Boltzmann's entropy formula Brillouin scattering Carnot cycle Classical mechanics Clausius (crater) Compact space Conservation law Conservation of energy Constant of integration Continuous function (set theory) Continuous function Control theory Deformation (mechanics) Derivative Diathermal wall Diffeomorphism Differentiable function Diffusion process Dimension (vector space) Dimension Dissipation Dot product Dynamical system Emergence Energy density Energy level Energy storage Energy Entropy Equation Equations of motion Equilibrium point Equilibrium thermodynamics Equipartition theorem Existential quantification First law of thermodynamics Hamiltonian mechanics Heat capacity Heat death of the universe Heat flux Heat transfer Homeomorphism Hydrogen atom Ideal gas Inequality (mathematics) Infimum and supremum Infinitesimal Initial condition Instant Internal energy Irreversible process Isolated system Kinetic theory of gases Laws of thermodynamics Linear dynamical system Lipschitz continuity Local boundedness Lyapunov function Lyapunov stability Mathematical optimization Mathematics Molecule Non-equilibrium thermodynamics Operator norm Probability Quantity Reversible process (thermodynamics) Second law of thermodynamics Semi-infinite Smoothness State variable State-space representation Statistical mechanics Steady state Summation Supply (economics) Systems theory Temperature Theorem Theoretical physics Theory Thermal conduction Thermal equilibrium Thermodynamic equilibrium Thermodynamic process Thermodynamic state Thermodynamic system Thermodynamic temperature Thermodynamics Time evolution Zeroth law of thermodynamics |
| ISBN |
1-68015-904-6
1-282-15830-9 9786612158308 1-4008-2697-7 |
| Classificazione | UG 1000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Dynamical System Theory -- Chapter 3. A Systems Foundation for Thermodynamics -- Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter 5. Work, Heat, and the Carnot Cycle -- Chapter 6. Thermodynamic Systems with Linear Energy Exchange -- Chapter 7. Continuum Thermodynamics -- Chapter 8. Conclusion -- Bibliography -- Index |
| Record Nr. | UNINA-9910820305403321 |
|
Haddad Wassim M. <1961->
|
||
| Princeton, : Princeton University Press, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||