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Applied differential equations / M. R. Spiegel
| Applied differential equations / M. R. Spiegel |
| Autore | Spiegel, Murray R. <Ralph ; <1943- |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Englewood Cliffs, New Jersey : Prentice-Hall, 1981 |
| Descrizione fisica | XVI, 654, A-55, B-2, I-6 p. ; 24 cm |
| Disciplina | 515.35 |
| ISBN | 0-13-040097-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000833460403321 |
Spiegel, Murray R. <Ralph ; <1943-
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| Englewood Cliffs, New Jersey : Prentice-Hall, 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied differential equations / Murray R. Spiegel
| Applied differential equations / Murray R. Spiegel |
| Autore | SPIEGEL, Murray R. |
| Pubbl/distr/stampa | Englewood Cliffs : Prentice-Hall, copyr. 1981 |
| Descrizione fisica | XVI, 654 p. : ill. ; 24 cm |
| Disciplina | 515.35 |
| Soggetto topico | Equazioni differenziali |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990003250640203316 |
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SPIEGEL, Murray R.
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| Englewood Cliffs : Prentice-Hall, copyr. 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Applied Inverse Problems : Select Contributions from the First Annual Workshop on Inverse Problems / / edited by Larisa Beilina
| Applied Inverse Problems : Select Contributions from the First Annual Workshop on Inverse Problems / / edited by Larisa Beilina |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (xiii, 197 pages) : illustrations (chiefly color) |
| Disciplina |
515.35
530.15537 |
| Altri autori (Persone) | BeilinaLarisa |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Mathematical physics
Mathematical analysis Mathematical Physics Analysis |
| ISBN |
9781461478164
1461478162 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Theoretical and Numerical Study of Iteratively Truncated Newton's Algorithm, Anatoly B. Bakushinsky, Alexandra B. Smirnova, and Hui Liu -- Approximate Global Convergence in Imaging of Land Mines from Backscattered Data, L. Beilina and M. V. Klibanov -- Time-adaptive FEM for Distributed Parameter Identification in Biological Models, L. Beilina and I.Gainova -- Adaptive finite element method in reconstruction of dielectrics from backscattered data, L. Beilina, M. P. Hatlo Andresen, H. E. Krogstad -- A Posteriori Error Estimates for Fredholm Integral Equations of the First Kind, N. Koshev and L. Beilina.- Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties, L. A. Nazarova and L.A. Nazarov -- A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data, Aubrey Rhoden, Natee Patong, Yueming Liu, Jianzhong Su and Hanli Liu -- Adaptive FEM with relaxation for a hyperbolic coefficient inverse problem, L. Beilina and M. V. Klibanov -- Error Estimation in Ill-posed Problems in Special Cases, A. G. Yagola, Y. M. Korolev.- Stable numerical methods of approaching quantum mechanical molecular force fields to experimental data, G. Kuramshina, I. Kochikov and A. Yagola -- On the Alternating Method for Cauchy Problems and its Finite Element Discretisation, Thouraya N. Baranger B. Tomas Johansson and Romain Rischette. |
| Record Nr. | UNINA-9910438140203321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied methods in the theory of nonlinear oscillations / V. M. Starzhinskii ; translated from the russian by V. I. Kisin
| Applied methods in the theory of nonlinear oscillations / V. M. Starzhinskii ; translated from the russian by V. I. Kisin |
| Autore | STARZHINSKII, V. M. |
| Pubbl/distr/stampa | Moscow : Mir publishers, 1980 |
| Descrizione fisica | 263 p. ; 23 cm |
| Disciplina | 515.35 |
| Soggetto topico | Equazioni differenziali |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990003250660203316 |
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STARZHINSKII, V. M.
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| Moscow : Mir publishers, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Applied nonlinear dynamics : analytical, computational, and experimetnal methods / Ali H. Nayfeh, Balakumar Balachandran
| Applied nonlinear dynamics : analytical, computational, and experimetnal methods / Ali H. Nayfeh, Balakumar Balachandran |
| Autore | Nayfeh, Ali Hasan <1933- > |
| Pubbl/distr/stampa | Weihneim : Wiley-VCH, c2004 |
| Descrizione fisica | XV, 685 p. ; 25 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) | Balachandran, Balakumar |
| Collana | Wiley series in nonlinear science |
| Soggetto non controllato | Equazioni differenzialiCalcolo numerico |
| ISBN |
0471593486
9780471593485 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNIPARTHENOPE-000027524 |
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Nayfeh, Ali Hasan <1933- >
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| Weihneim : Wiley-VCH, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Parthenope | ||
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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. | UNINA-9910144739203321 |
|
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. | 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 : analytical, computational, and experimental methods / / Ali H. Nayfeh, Balakumar Balachandran
| Applied nonlinear dynamics : 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 |
9786612010514
9781282010512 1282010514 9783527617548 352761754X 9783527617555 3527617558 |
| 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-9911019151103321 |
|
Nayfeh Ali Hasan <1933->
|
||
| New York, : Wiley, c1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied partial differential equations / J. David Logan
| Applied partial differential equations / J. David Logan |
| Autore | Logan, John David |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | New York : Springer, c2004 |
| Descrizione fisica | XII, 209 p. ; 24 cm |
| Disciplina |
515.35
515.353 |
| Collana | Undergraduate texts in mathematics |
| Soggetto non controllato |
Equazioni differenziali parziali
Equazioni differenziali |
| ISBN | 0-387-20953-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990007914720403321 |
|
Logan, John David
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| New York : Springer, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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