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Applied nonlinear dynamics [[electronic resource] ] : analytical, computational, and experimental methods / / Ali H. Nayfeh, Balakumar Balachandran
| Applied nonlinear dynamics [[electronic resource] ] : analytical, computational, and experimental methods / / Ali H. Nayfeh, Balakumar Balachandran |
| Autore | Nayfeh Ali Hasan <1933-> |
| Pubbl/distr/stampa | New York, : Wiley, c1995 |
| Descrizione fisica | 1 online resource (703 p.) |
| Disciplina |
515.35
621.38131 |
| Altri autori (Persone) | BalachandranBalakumar |
| Collana | Wiley series in nonlinear science |
| Soggetto topico |
Dynamics
Nonlinear theories |
| ISBN |
1-282-01051-4
9786612010514 3-527-61754-X 3-527-61755-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
APPLIED NONLINEAR DYNAMICS; CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 DISCRETE-TIME SYSTEMS; 1.2 CONTINUOUS-TIME SYSTEMS; 1.2.1 Nonautonomous Systems; 1.2.2 Autonomous Systems; 1.2.3 Phase Portraits and Flows; 1.3 ATTRACTING SETS; 1.4 CONCEPTS OF STABILITY; 1.4.1 Lyapunov Stability; 1.4.2 Asymptotic Stability; 1.4.3 Poincaré Stability; 1.4.4 Lagrange Stability (Bounded Stability); 1.4.5 Stability Through Lyapunov Function; 1.5 ATTRACTORS; 1.6 COMMENTS; 1.7 EXERCISES; 2 EQUILIBRIUM SOLUTIONS; 2.1 CONTINUOUS-TIME SYSTEMS; 2.1.1 Linearization Near an Equilibrium Solution
2.1.2 Classification and Stability of Equilibrium Solutions2.1.3 Eigenspaces and Invariant Manifolds; 2.1.4 Analytical Construction of Stable and Unstable Manifolds; 2.2 FIXED POINTS OF MAPS; 2.3 BIFURCATIONS OF CONTINUOUS SYSTEMS; 2.3.1 Local Bifurcations of Fixed Points; 2.3.2 Normal Forms for Bifurcations; 2.3.3 Bifurcation Diagrams and Sets; 2.3.4 Center Manifold Reduction; 2.3.5 The Lyapunov-Schmidt Method; 2.3.6 The Method of Multiple Scales; 2.3.7 Structural Stability; 2.3.8 Stability of Bifurcations to Perturbations; 2.3.9 Codimension of a Bifurcation; 2.3.10 Global Bifurcations 2.4 BIFURCATIONS OF MAPS2.5 EXERCISES; 3 PERIODIC SOLUTIONS; 3.1 PERIODIC SOLUTIONS; 3.1.1 Autonomous Systems; 3.1.2 Nonautonomous Systems; 3.1.3 Comments; 3.2 FLOQUET THEORY; 3.2.1 Autonomous Systems; 3.2.2 Nonautonomous Systems; 3.2.3 Comments on the Monodromy Matrix; 3.2.4 Manifolds of a Periodic Solution; 3.3 POINCARÉ MAPS; 3.3.1 Nonautonomous Systems; 3.3.2 Autonomous Systems; 3.4 BIFURCATIONS; 3.4.1 Symmetry-Breaking Bifurcation; 3.4.2 Cyclic-Fold Bifurcation; 3.4.3 Period-Doubling or Flip Bifurcation; 3.4.4 Transcritical Bifurcation; 3.4.5 Secondary Hopf or Neimark Bifurcation 3.5 ANALYTICAL CONSTRUCTIONS3.5.1 Method of Multiple Scales; 3.5.2 Center Manifold Reduction; 3.5.3 General Case; 3.6 EXERCISES; 4 QUASIPERIODIC SOLUTIONS; 4.1 POINCARÉ MAPS; 4.1.1 Winding Time and Rotation Number; 4.1.2 Second-Order Poincaré Map; 4.1.3 Comments; 4.2 CIRCLE MAP; 4.3 CONSTRUCTIONS; 4.3.1 Method of Multiple Scales; 4.3.2 Spectral Balance Method; 4.3.3 Poincaré Map Method; 4.4 STABILITY; 4.5 SYNCHRONIZATION; 4.6 EXERCISES; 5 CHAOS; 5.1 MAPS; 5.2 CONTINUOUS-TIME SYSTEMS; 5.3 PERIOD-DOUBLING SCENARIO; 5.4 INTERMITTENCY MECHANISMS; 5.4.1 Type I Intermittency 5.4.2 Type III Intermittency5.4.3 Type II Intermittency; 5.5 QUASIPERIODIC ROUTES; 5.5.1 Ruelle-Takens Scenario; 5.5.2 Torus Breakdown; 5.5.3 Torus Doubling; 5.6 CRISES; 5.7 MELNIKOV THEORY; 5.7.1 Homoclinic Tangles; 5.7.2 Heteroclinic Tangles; 5.7.3 Numerical Prediction of Manifold Intersections; 5.7.4 Analytical Prediction of Manifold Intersections; 5.7.5 Application of Melnikov's Method; 5.7.6 Comments; 5.8 BIFURCATIONS OF HOMOCLINIC ORBITS; 5.8.1 Planar Systems; 5.8.2 Orbits Homoclinic to a Saddle; 5.8.3 Orbits Homoclinic to a Saddle Focus; 5.8.4 Comments; 5.9 EXERCISES 6 NUMERICAL METHODS |
| Record Nr. | UNISA-996203214403316 |
Nayfeh Ali Hasan <1933->
|
||
| New York, : Wiley, c1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Applied nonlinear dynamics [[electronic resource] ] : analytical, computational, and experimental methods / / Ali H. Nayfeh, Balakumar Balachandran
| Applied nonlinear dynamics [[electronic resource] ] : analytical, computational, and experimental methods / / Ali H. Nayfeh, Balakumar Balachandran |
| Autore | Nayfeh Ali Hasan <1933-> |
| Pubbl/distr/stampa | New York, : Wiley, c1995 |
| Descrizione fisica | 1 online resource (703 p.) |
| Disciplina |
515.35
621.38131 |
| Altri autori (Persone) | BalachandranBalakumar |
| Collana | Wiley series in nonlinear science |
| Soggetto topico |
Dynamics
Nonlinear theories |
| ISBN |
1-282-01051-4
9786612010514 3-527-61754-X 3-527-61755-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
APPLIED NONLINEAR DYNAMICS; CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 DISCRETE-TIME SYSTEMS; 1.2 CONTINUOUS-TIME SYSTEMS; 1.2.1 Nonautonomous Systems; 1.2.2 Autonomous Systems; 1.2.3 Phase Portraits and Flows; 1.3 ATTRACTING SETS; 1.4 CONCEPTS OF STABILITY; 1.4.1 Lyapunov Stability; 1.4.2 Asymptotic Stability; 1.4.3 Poincaré Stability; 1.4.4 Lagrange Stability (Bounded Stability); 1.4.5 Stability Through Lyapunov Function; 1.5 ATTRACTORS; 1.6 COMMENTS; 1.7 EXERCISES; 2 EQUILIBRIUM SOLUTIONS; 2.1 CONTINUOUS-TIME SYSTEMS; 2.1.1 Linearization Near an Equilibrium Solution
2.1.2 Classification and Stability of Equilibrium Solutions2.1.3 Eigenspaces and Invariant Manifolds; 2.1.4 Analytical Construction of Stable and Unstable Manifolds; 2.2 FIXED POINTS OF MAPS; 2.3 BIFURCATIONS OF CONTINUOUS SYSTEMS; 2.3.1 Local Bifurcations of Fixed Points; 2.3.2 Normal Forms for Bifurcations; 2.3.3 Bifurcation Diagrams and Sets; 2.3.4 Center Manifold Reduction; 2.3.5 The Lyapunov-Schmidt Method; 2.3.6 The Method of Multiple Scales; 2.3.7 Structural Stability; 2.3.8 Stability of Bifurcations to Perturbations; 2.3.9 Codimension of a Bifurcation; 2.3.10 Global Bifurcations 2.4 BIFURCATIONS OF MAPS2.5 EXERCISES; 3 PERIODIC SOLUTIONS; 3.1 PERIODIC SOLUTIONS; 3.1.1 Autonomous Systems; 3.1.2 Nonautonomous Systems; 3.1.3 Comments; 3.2 FLOQUET THEORY; 3.2.1 Autonomous Systems; 3.2.2 Nonautonomous Systems; 3.2.3 Comments on the Monodromy Matrix; 3.2.4 Manifolds of a Periodic Solution; 3.3 POINCARÉ MAPS; 3.3.1 Nonautonomous Systems; 3.3.2 Autonomous Systems; 3.4 BIFURCATIONS; 3.4.1 Symmetry-Breaking Bifurcation; 3.4.2 Cyclic-Fold Bifurcation; 3.4.3 Period-Doubling or Flip Bifurcation; 3.4.4 Transcritical Bifurcation; 3.4.5 Secondary Hopf or Neimark Bifurcation 3.5 ANALYTICAL CONSTRUCTIONS3.5.1 Method of Multiple Scales; 3.5.2 Center Manifold Reduction; 3.5.3 General Case; 3.6 EXERCISES; 4 QUASIPERIODIC SOLUTIONS; 4.1 POINCARÉ MAPS; 4.1.1 Winding Time and Rotation Number; 4.1.2 Second-Order Poincaré Map; 4.1.3 Comments; 4.2 CIRCLE MAP; 4.3 CONSTRUCTIONS; 4.3.1 Method of Multiple Scales; 4.3.2 Spectral Balance Method; 4.3.3 Poincaré Map Method; 4.4 STABILITY; 4.5 SYNCHRONIZATION; 4.6 EXERCISES; 5 CHAOS; 5.1 MAPS; 5.2 CONTINUOUS-TIME SYSTEMS; 5.3 PERIOD-DOUBLING SCENARIO; 5.4 INTERMITTENCY MECHANISMS; 5.4.1 Type I Intermittency 5.4.2 Type III Intermittency5.4.3 Type II Intermittency; 5.5 QUASIPERIODIC ROUTES; 5.5.1 Ruelle-Takens Scenario; 5.5.2 Torus Breakdown; 5.5.3 Torus Doubling; 5.6 CRISES; 5.7 MELNIKOV THEORY; 5.7.1 Homoclinic Tangles; 5.7.2 Heteroclinic Tangles; 5.7.3 Numerical Prediction of Manifold Intersections; 5.7.4 Analytical Prediction of Manifold Intersections; 5.7.5 Application of Melnikov's Method; 5.7.6 Comments; 5.8 BIFURCATIONS OF HOMOCLINIC ORBITS; 5.8.1 Planar Systems; 5.8.2 Orbits Homoclinic to a Saddle; 5.8.3 Orbits Homoclinic to a Saddle Focus; 5.8.4 Comments; 5.9 EXERCISES 6 NUMERICAL METHODS |
| Record Nr. | UNINA-9910830038503321 |
|
Nayfeh Ali Hasan <1933->
|
||
| New York, : Wiley, c1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied nonlinear dynamics [[electronic resource] ] : analytical, computational, and experimental methods / / Ali H. Nayfeh, Balakumar Balachandran
| Applied nonlinear dynamics [[electronic resource] ] : analytical, computational, and experimental methods / / Ali H. Nayfeh, Balakumar Balachandran |
| Autore | Nayfeh Ali Hasan <1933-> |
| Pubbl/distr/stampa | New York, : Wiley, c1995 |
| Descrizione fisica | 1 online resource (703 p.) |
| Disciplina |
515.35
621.38131 |
| Altri autori (Persone) | BalachandranBalakumar |
| Collana | Wiley series in nonlinear science |
| Soggetto topico |
Dynamics
Nonlinear theories |
| ISBN |
1-282-01051-4
9786612010514 3-527-61754-X 3-527-61755-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
APPLIED NONLINEAR DYNAMICS; CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 DISCRETE-TIME SYSTEMS; 1.2 CONTINUOUS-TIME SYSTEMS; 1.2.1 Nonautonomous Systems; 1.2.2 Autonomous Systems; 1.2.3 Phase Portraits and Flows; 1.3 ATTRACTING SETS; 1.4 CONCEPTS OF STABILITY; 1.4.1 Lyapunov Stability; 1.4.2 Asymptotic Stability; 1.4.3 Poincaré Stability; 1.4.4 Lagrange Stability (Bounded Stability); 1.4.5 Stability Through Lyapunov Function; 1.5 ATTRACTORS; 1.6 COMMENTS; 1.7 EXERCISES; 2 EQUILIBRIUM SOLUTIONS; 2.1 CONTINUOUS-TIME SYSTEMS; 2.1.1 Linearization Near an Equilibrium Solution
2.1.2 Classification and Stability of Equilibrium Solutions2.1.3 Eigenspaces and Invariant Manifolds; 2.1.4 Analytical Construction of Stable and Unstable Manifolds; 2.2 FIXED POINTS OF MAPS; 2.3 BIFURCATIONS OF CONTINUOUS SYSTEMS; 2.3.1 Local Bifurcations of Fixed Points; 2.3.2 Normal Forms for Bifurcations; 2.3.3 Bifurcation Diagrams and Sets; 2.3.4 Center Manifold Reduction; 2.3.5 The Lyapunov-Schmidt Method; 2.3.6 The Method of Multiple Scales; 2.3.7 Structural Stability; 2.3.8 Stability of Bifurcations to Perturbations; 2.3.9 Codimension of a Bifurcation; 2.3.10 Global Bifurcations 2.4 BIFURCATIONS OF MAPS2.5 EXERCISES; 3 PERIODIC SOLUTIONS; 3.1 PERIODIC SOLUTIONS; 3.1.1 Autonomous Systems; 3.1.2 Nonautonomous Systems; 3.1.3 Comments; 3.2 FLOQUET THEORY; 3.2.1 Autonomous Systems; 3.2.2 Nonautonomous Systems; 3.2.3 Comments on the Monodromy Matrix; 3.2.4 Manifolds of a Periodic Solution; 3.3 POINCARÉ MAPS; 3.3.1 Nonautonomous Systems; 3.3.2 Autonomous Systems; 3.4 BIFURCATIONS; 3.4.1 Symmetry-Breaking Bifurcation; 3.4.2 Cyclic-Fold Bifurcation; 3.4.3 Period-Doubling or Flip Bifurcation; 3.4.4 Transcritical Bifurcation; 3.4.5 Secondary Hopf or Neimark Bifurcation 3.5 ANALYTICAL CONSTRUCTIONS3.5.1 Method of Multiple Scales; 3.5.2 Center Manifold Reduction; 3.5.3 General Case; 3.6 EXERCISES; 4 QUASIPERIODIC SOLUTIONS; 4.1 POINCARÉ MAPS; 4.1.1 Winding Time and Rotation Number; 4.1.2 Second-Order Poincaré Map; 4.1.3 Comments; 4.2 CIRCLE MAP; 4.3 CONSTRUCTIONS; 4.3.1 Method of Multiple Scales; 4.3.2 Spectral Balance Method; 4.3.3 Poincaré Map Method; 4.4 STABILITY; 4.5 SYNCHRONIZATION; 4.6 EXERCISES; 5 CHAOS; 5.1 MAPS; 5.2 CONTINUOUS-TIME SYSTEMS; 5.3 PERIOD-DOUBLING SCENARIO; 5.4 INTERMITTENCY MECHANISMS; 5.4.1 Type I Intermittency 5.4.2 Type III Intermittency5.4.3 Type II Intermittency; 5.5 QUASIPERIODIC ROUTES; 5.5.1 Ruelle-Takens Scenario; 5.5.2 Torus Breakdown; 5.5.3 Torus Doubling; 5.6 CRISES; 5.7 MELNIKOV THEORY; 5.7.1 Homoclinic Tangles; 5.7.2 Heteroclinic Tangles; 5.7.3 Numerical Prediction of Manifold Intersections; 5.7.4 Analytical Prediction of Manifold Intersections; 5.7.5 Application of Melnikov's Method; 5.7.6 Comments; 5.8 BIFURCATIONS OF HOMOCLINIC ORBITS; 5.8.1 Planar Systems; 5.8.2 Orbits Homoclinic to a Saddle; 5.8.3 Orbits Homoclinic to a Saddle Focus; 5.8.4 Comments; 5.9 EXERCISES 6 NUMERICAL METHODS |
| Record Nr. | UNINA-9910841532003321 |
|
Nayfeh Ali Hasan <1933->
|
||
| New York, : Wiley, c1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied nonlinear time series analysis [[electronic resource] ] : applications in physics, physiology and finance / / Michael Small
| Applied nonlinear time series analysis [[electronic resource] ] : applications in physics, physiology and finance / / Michael Small |
| Autore | Small Michael, Dr. |
| Pubbl/distr/stampa | New Jersey ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (261 p.) |
| Disciplina | 519.55011857 |
| Collana | World Scientific series in nonlinear science, Series A |
| Soggetto topico |
Nonlinear theories
Time-series analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-37252-8
9786611372521 981-256-777-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Time series embedding and reconstruction; Chapter 2 Dynamic measures and topological invariants; Chapter 3 Estimation of correlation dimension; Chapter 4 The method of surrogate data; Chapter 5 Non-standard and non-linear surrogates; Chapter 6 Identifying the dynamics; Chapter 7 Applications; Bibliography; Index |
| Record Nr. | UNINA-9910450441103321 |
|
Small Michael, Dr.
|
||
| New Jersey ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied nonlinear time series analysis [[electronic resource] ] : applications in physics, physiology and finance / / Michael Small
| Applied nonlinear time series analysis [[electronic resource] ] : applications in physics, physiology and finance / / Michael Small |
| Autore | Small Michael, Dr. |
| Pubbl/distr/stampa | New Jersey ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (261 p.) |
| Disciplina | 519.55011857 |
| Collana | World Scientific series in nonlinear science, Series A |
| Soggetto topico |
Nonlinear theories
Time-series analysis |
| ISBN |
1-281-37252-8
9786611372521 981-256-777-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Time series embedding and reconstruction; Chapter 2 Dynamic measures and topological invariants; Chapter 3 Estimation of correlation dimension; Chapter 4 The method of surrogate data; Chapter 5 Non-standard and non-linear surrogates; Chapter 6 Identifying the dynamics; Chapter 7 Applications; Bibliography; Index |
| Record Nr. | UNINA-9910783725203321 |
|
Small Michael, Dr.
|
||
| New Jersey ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied nonlinear time series analysis [[electronic resource] ] : applications in physics, physiology and finance / / Michael Small
| Applied nonlinear time series analysis [[electronic resource] ] : applications in physics, physiology and finance / / Michael Small |
| Autore | Small Michael, Dr. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New Jersey ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (261 p.) |
| Disciplina | 519.55011857 |
| Collana | World Scientific series in nonlinear science, Series A |
| Soggetto topico |
Nonlinear theories
Time-series analysis |
| ISBN |
1-281-37252-8
9786611372521 981-256-777-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Time series embedding and reconstruction; Chapter 2 Dynamic measures and topological invariants; Chapter 3 Estimation of correlation dimension; Chapter 4 The method of surrogate data; Chapter 5 Non-standard and non-linear surrogates; Chapter 6 Identifying the dynamics; Chapter 7 Applications; Bibliography; Index |
| Record Nr. | UNINA-9910820011303321 |
|
Small Michael, Dr.
|
||
| New Jersey ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied nonlinear time series analysis : applications in physics, physiology and finance / Michael Small
| Applied nonlinear time series analysis : applications in physics, physiology and finance / Michael Small |
| Autore | Small, Michael |
| Pubbl/distr/stampa | New Jersey ; London : World Scientific, c2005 |
| Descrizione fisica | xiii, 245 p. : ill. ; 24 cm |
| Disciplina | 519.55 |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 52 |
| Soggetto topico |
Time-series analysis
Nonlinear theories |
| ISBN | 981256117X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003641739707536 |
|
Small, Michael
|
||
| New Jersey ; London : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Applied Parallel and Scientific Computing [[electronic resource] ] : 10th International Conference, PARA 2010, Reykjavík, Iceland, June 6-9, 2010, Revised Selected Papers, Part II / / edited by Kristján Jónasson
| Applied Parallel and Scientific Computing [[electronic resource] ] : 10th International Conference, PARA 2010, Reykjavík, Iceland, June 6-9, 2010, Revised Selected Papers, Part II / / edited by Kristján Jónasson |
| Edizione | [1st ed. 2012.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 |
| Descrizione fisica | 1 online resource (XXVIII, 477 p. 170 illus.) |
| Disciplina | 004.0151 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science—Mathematics
Software engineering Algorithms Dynamics Nonlinear theories Mathematics—Data processing Computer networks Mathematics of Computing Software Engineering Applied Dynamical Systems Computational Mathematics and Numerical Analysis Computer Communication Networks |
| ISBN | 3-642-28145-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996465961203316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Applied Parallel and Scientific Computing [[electronic resource] ] : 10th International Conference, PARA 2010, Reykjavík, Iceland, June 6-9, 2010, Revised Selected Papers, Part I / / edited by Kristján Jónasson
| Applied Parallel and Scientific Computing [[electronic resource] ] : 10th International Conference, PARA 2010, Reykjavík, Iceland, June 6-9, 2010, Revised Selected Papers, Part I / / edited by Kristján Jónasson |
| Edizione | [1st ed. 2012.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 |
| Descrizione fisica | 1 online resource (XXVII, 339 p. 155 illus.) |
| Disciplina | 004.0151 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science—Mathematics
Software engineering Algorithms Dynamics Nonlinear theories Mathematics—Data processing Computer networks Mathematics of Computing Software Engineering Applied Dynamical Systems Computational Mathematics and Numerical Analysis Computer Communication Networks |
| ISBN | 3-642-28151-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996465958903316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen
| Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen |
| Autore | Sochacki James |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) |
| Disciplina | 515.35 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Differential equations
Sequences (Mathematics) Dynamics Nonlinear theories Algebraic fields Polynomials Differential Equations Sequences, Series, Summability Applied Dynamical Systems Field Theory and Polynomials Equacions diferencials Successions (Matemàtica) Dinàmica Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-24587-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Introduction: The Linear ODE: x′ = bx + c -- Chapter 2. Egg 1: The Quadratic ODE: x′ = ax2 + bx + c -- Chapter 3. Egg 2: The First Order Exponent ODE: x′ = xr -- Chapter 4. Egg 3: The First Order Sine ODE: x′ = sin x -- Chapter 5. Egg 4: The Second Order Exponent ODE: x′′ = −xr -- Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum -- Chapter 7. Egg 6: Newton’s Method and the Steepest Descent Method -- Chapter 8. Egg 7: Determining Power Series for Functions through ODEs -- Chapter 9. Egg 8: The Periodic Planar ODE: x′ = −y + ax2 + bxy + cy2 ; y′ = x + dx2 + exy + fy2 -- Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z′ = az2 + bz + c -- Chapter 11. Egg 10: Newton’s N-Body Problem -- Chapter 12. Egg 11: ODEs and Conservation Laws -- Chapter 13. Egg 12: Delay Differential Equations -- Chapter 14. An Overview of Our Dozen ODEs -- Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series -- Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem -- Chapter 17. Appendix 3. A PDE Example: Burgers’ Equation -- References. |
| Record Nr. | UNINA-9910682548903321 |
|
Sochacki James
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
