Differencial equations, dinamical system, and linear algebra / Morris W. Hirsch and Stephen Smale |
Autore | HIRSCH, Morris W. |
Pubbl/distr/stampa | New York, : Academic press, 1974 |
Descrizione fisica | xi,358 p. : fig. ; 24 cm |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNICAS-RML0233790 |
HIRSCH, Morris W.
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New York, : Academic press, 1974 | ||
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Lo trovi qui: Univ. di Cassino e del Lazio Meridionale | ||
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Different topology / Morris W. Hirsch |
Autore | HIRSCH, Morris W. |
Pubbl/distr/stampa | New York : Springer, 1997 |
Descrizione fisica | X, 222 p. ; 24 cm |
Disciplina | 514.7 |
Collana | Graduate texts in mathematics |
Soggetto topico | Topologia differenziale |
ISBN | 0-387-90148-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-990000690520203316 |
HIRSCH, Morris W.
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New York : Springer, 1997 | ||
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Lo trovi qui: Univ. di Salerno | ||
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Differential equations, dynamical systems and linear algebra / M.W. Hirsch and S. Smale |
Autore | Hirsch, Morris W. |
Pubbl/distr/stampa | New York : Academic Press, 1974 |
Descrizione fisica | XI, 358 p. ; 24 cm |
Disciplina | 515.35 |
Altri autori (Persone) | Smale, Stephen |
Collana | Pure and applied mathematics |
Soggetto non controllato |
Algebra
Geometria Metodi numerici Matematica pura e applicata |
ISBN | 0-12-349550-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990000846170403321 |
Hirsch, Morris W.
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New York : Academic Press, 1974 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems and linear algebra / M.W. Hirsch and Stephen Smale |
Autore | Hirsch, Morris W. |
Pubbl/distr/stampa | New York : Academic Press, 1974 |
Descrizione fisica | xi, 348 p. : ill. ; 26 cm |
Disciplina | 513 |
Altri autori (Persone) | Smale, Stephen |
Collana | A series of monographs and textbooks |
Soggetto non controllato |
Geometria algebrica
Topologia Topologia algebrica Sistemi dinamici Frattali matematici |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990001008490403321 |
Hirsch, Morris W.
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New York : Academic Press, 1974 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney |
Autore | Hirsch, Morris W. <1933- > |
Edizione | [3. ed] |
Pubbl/distr/stampa | [S.l.] : Mariotti 1820, 2017 |
Descrizione fisica | XIV, 418 p. ; 24 cm |
Altri autori (Persone) |
Smale, Stephen <1930- >
Devaney, Robert L. <1948- > |
ISBN | 9780123820105 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910215459303321 |
Hirsch, Morris W. <1933- >
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[S.l.] : Mariotti 1820, 2017 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and an introduction to chaos / / Morris W. Hirsch, Stephen Smale, Robert L. Devaney [[electronic resource]] |
Autore | Hirsch Morris W. <1933-> |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Waltham, MA, : Academic Press, c2013 |
Descrizione fisica | 1 online resource (xiv, 418 p. ) : ill. ; |
Disciplina | 515/.35 |
Altri autori (Persone) |
SmaleStephen <1930->
DevaneyRobert L. <1948-> |
Soggetto topico |
Differential equations
Algebras, Linear Chaotic behavior in systems |
Soggetto genere / forma | Electronic books |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910461730403321 |
Hirsch Morris W. <1933->
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Waltham, MA, : Academic Press, c2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney |
Autore | Hirsch, Morris W. <1933- > |
Edizione | [3. ed] |
Pubbl/distr/stampa | Amsterdam [etc.], : Academic Press, ©2013 |
Descrizione fisica | XIV, 418 p. ; 24 cm |
Disciplina | 515.35 |
Altri autori (Persone) |
Smale, Stephen <1930- >
Devaney, Robert L. <1948- > |
Soggetto non controllato | Equazioni differenziali e integro-differenziali |
ISBN | 9780123820105 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910216657903321 |
Hirsch, Morris W. <1933- >
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Amsterdam [etc.], : Academic Press, ©2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and an introduction to chaos / / Morris W. Hirsch, Stephen Smale, Robert L. Devaney [[electronic resource]] |
Autore | Hirsch Morris W. <1933-> |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Waltham, MA, : Academic Press, c2013 |
Descrizione fisica | 1 online resource (xiv, 418 p. ) : ill. ; |
Disciplina | 515/.35 |
Altri autori (Persone) |
SmaleStephen <1930->
DevaneyRobert L. <1948-> |
Soggetto topico |
Differential equations
Algebras, Linear Chaotic behavior in systems |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910790003803321 |
Hirsch Morris W. <1933->
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Waltham, MA, : Academic Press, c2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and an introduction to chaos / / Morris W. Hirsch, Stephen Smale, Robert L. Devaney |
Autore | Hirsch Morris W. <1933-> |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Waltham, MA, : Academic Press, c2013 |
Descrizione fisica | 1 online resource (xiv, 418 p. ) : ill. ; |
Disciplina | 515/.35 |
Altri autori (Persone) |
SmaleStephen <1930->
DevaneyRobert L. <1948-> |
Soggetto topico |
Differential equations
Algebras, Linear Chaotic behavior in systems |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover -- Differential Equations, Dynamical Systems, and an Introduction to Chaos -- Copyright -- Table of Contents -- Preface to Third Edition -- Preface -- 1 First-Order Equations -- 1.1 The Simplest Example -- 1.2 The Logistic Population Model -- 1.3 Constant Harvesting and Bifurcations -- 1.4 Periodic Harvesting and Periodic Solutions -- 1.5 Computing the Poincaré Map -- 1.6 Exploration: A Two-Parameter Family -- Exercises -- 2 Planar Linear Systems -- 2.1 Second-Order Differential Equations -- 2.2 Planar Systems -- 2.3 Preliminaries from Algebra -- 2.4 Planar Linear Systems -- 2.5 Eigenvalues and Eigenvectors -- 2.6 Solving Linear Systems -- 2.7 The Linearity Principle -- Exercises -- 3 Phase Portraits for Planar Systems -- 3.1 Real Distinct Eigenvalues -- 3.2 Complex Eigenvalues -- 3.3 Repeated Eigenvalues -- 3.4 Changing Coordinates -- Exercises -- 4 Classification of Planar Systems -- 4.1 The Trace-Determinant Plane -- 4.2 Dynamical Classification -- Case 1 -- Case 2 -- Case 3 -- 4.3 Exploration: A 3D Parameter Space -- Exercises -- 5 Higher-Dimensional Linear Algebra -- 5.1 Preliminaries from Linear Algebra -- 5.2 Eigenvalues and Eigenvectors -- 5.3 Complex Eigenvalues -- 5.4 Bases and Subspaces -- 5.5 Repeated Eigenvalues -- 5.6 Genericity -- Exercises -- 6 Higher-Dimensional Linear Systems -- 6.1 Distinct Eigenvalues -- 6.2 Harmonic Oscillators -- 6.3 Repeated Eigenvalues -- 6.4 The Exponential of a Matrix -- 6.5 Nonautonomous Linear Systems -- Exercises -- 7 Nonlinear Systems -- 7.1 Dynamical Systems -- 7.2 The Existence and Uniqueness Theorem -- 7.3 Continuous Dependence of Solutions -- 7.4 The Variational Equation -- 7.5 Exploration: Numerical Methods -- 7.6 Exploration: Numerical Methods and Chaos -- Exercises -- 8 Equilibria in Nonlinear Systems -- 8.1 Some Illustrative Examples -- 8.2 Nonlinear Sinks and Sources -- 8.3 Saddles.
8.4 Stability -- 8.5 Bifurcations -- 8.6 Exploration: Complex Vector Fields -- Exercises -- 9 Global Nonlinear Techniques -- 9.1 Nullclines -- 9.2 Stability of Equilibria -- 9.3 Gradient Systems -- 9.4 Hamiltonian Systems -- 9.5 Exploration: The Pendulum with Constant Forcing -- Exercises -- 10 Closed Orbits and Limit Sets -- 10.1 Limit Sets -- 10.2 Local Sections and Flow Boxes -- 10.3 The Poincaré Map -- 10.4 Monotone Sequences in Planar Dynamical Systems -- 10.5 The Poincaré-Bendixson Theorem -- 10.6 Applications of Poincaré-Bendixson -- 10.7 Exploration: Chemical Reactions that Oscillate -- Exercises -- 11 Applications in Biology -- 11.1 Infectious Diseases -- 11.2 Predator-Prey Systems -- 11.3 Competitive Species -- 11.4 Exploration: Competition and Harvesting -- 11.5 Exploration: Adding Zombies to the SIR Model -- Exercises -- 12 Applications in Circuit Theory -- 12.1 An RLC Circuit -- 12.2 The Liénard Equation -- 12.3 The van der Pol Equation -- 12.4 A Hopf Bifurcation -- 12.5 Exploration: Neurodynamics -- Exercises -- 13 Applications in Mechanics -- 13.1 Newton's Second Law -- 13.2 Conservative Systems -- 13.3 Central Force Fields -- 13.4 The Newtonian Central Force System -- 13.5 Kepler's First Law -- 13.6 The Two-Body Problem -- 13.7 Blowing up the Singularity -- 13.8 Exploration: Other Central Force Problems -- 13.9 Exploration: Classical Limits of Quantum Mechanical Systems -- 13.10 Exploration: Motion of a Glider -- Exercises -- 14 The Lorenz System -- 14.1 Introduction -- 14.2 Elementary Properties of the Lorenz System -- 14.3 The Lorenz Attractor -- 14.4 A Model for the Lorenz Attractor -- 14.5 The Chaotic Attractor -- 14.6 Exploration: The Rössler Attractor -- Exercises -- 15 Discrete Dynamical Systems -- 15.1 Introduction -- 15.2 Bifurcations -- 15.3 The Discrete Logistic Model -- 15.4 Chaos -- 15.5 Symbolic Dynamics. 15.6 The Shift Map -- 15.7 The Cantor Middle-Thirds Set -- 15.8 Exploration: Cubic Chaos -- 15.9 Exploration: The Orbit Diagram -- Exercises -- 16 Homoclinic Phenomena -- 16.1 The Shilnikov System -- 16.2 The Horseshoe Map -- 16.3 The Double Scroll Attractor -- 16.4 Homoclinic Bifurcations -- 16.5 Exploration: The Chua Circuit -- Exercises -- 17 Existence and Uniqueness Revisited -- 17.1 The Existence and Uniqueness Theorem -- 17.2 Proof of Existence and Uniqueness -- 17.3 Continuous Dependence on Initial Conditions -- 17.4 Extending Solutions -- 17.5 Nonautonomous Systems -- 17.6 Differentiability of the Flow -- Exercises -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W -- Z. |
Record Nr. | UNINA-9910965872603321 |
Hirsch Morris W. <1933->
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Waltham, MA, : Academic Press, c2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney |
Autore | Hirsch, Morris W. |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Amsterdam : Elsevier, c2004 |
Descrizione fisica | XIV, 417 p. : ill. ; 23 cm |
Disciplina | 515.35 |
Altri autori (Persone) |
Smale, Stephen
Devaney, Robert L. |
Soggetto non controllato |
Equazioni differenziali
Algebra lineare |
ISBN | 0-12-349703-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990007953470403321 |
Hirsch, Morris W.
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Amsterdam : Elsevier, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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