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The method of normal forms [[electronic resource] /] / Ali Hasan Nayfeh
| The method of normal forms [[electronic resource] /] / Ali Hasan Nayfeh |
| Autore | Nayfeh Ali Hasan <1933-> |
| Edizione | [2nd, updated and enl. ed.] |
| Pubbl/distr/stampa | Weinheim, Germany, : Wiley-VCH, c2011 |
| Descrizione fisica | 1 online resource (343 p.) |
| Disciplina |
512.9/44
512.944 |
| Soggetto topico |
Normal forms (Mathematics)
Differential equations - Numerical solutions |
| ISBN |
3-527-63577-7
1-283-92749-7 3-527-63578-5 3-527-63580-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Method of Normal Forms; Contents; Preface; Introduction; 1 SDOF Autonomous Systems; 1.1 Introduction; 1.2 Duffing Equation; 1.3 Rayleigh Equation; 1.4 Duffing-Rayleigh-van der Pol Equation; 1.5 An Oscillator with Quadratic and Cubic Nonlinearities; 1.5.1 Successive Transformations; 1.5.2 The Method of Multiple Scales; 1.5.3 A Single Transformation; 1.6 A General System with Quadratic and Cubic Nonlinearities; 1.7 The van der Pol Oscillator; 1.7.1 The Method of Normal Forms; 1.7.2 The Method of Multiple Scales; 1.8 Exercises; 2 Systems of First-Order Equations; 2.1 Introduction
2.2 A Two-Dimensional System with Diagonal Linear Part2.3 A Two-Dimensional System with a Nonsemisimple Linear Form; 2.4 An n-Dimensional System with Diagonal Linear Part; 2.5 A Two-Dimensional System with Purely Imaginary Eigenvalues; 2.5.1 The Method of Normal Forms; 2.5.2 The Method of Multiple Scales; 2.6 A Two-Dimensional System with Zero Eigenvalues; 2.7 A Three-Dimensional System with Zeroand Two Purely Imaginary Eigenvalues; 2.8 The Mathieu Equation; 2.9 Exercises; 3 Maps; 3.1 Linear Maps; 3.1.1 Case of Distinct Eigenvalues; 3.1.2 Case of Repeated Eigenvalues; 3.2 Nonlinear Maps 3.3 Center-Manifold Reduction3.4 Local Bifurcations; 3.4.1 Fold or Tangent or Saddle-Node Bifurcation; 3.4.2 Transcritical Bifurcation; 3.4.3 Pitchfork Bifurcation; 3.4.4 Flip or Period-Doubling Bifurcation; 3.4.5 Hopf or Neimark-Sacker Bifurcation; 3.5 Exercises; 4 Bifurcations of Continuous Systems; 4.1 Linear Systems; 4.1.1 Case of Distinct Eigenvalues; 4.1.2 Case of Repeated Eigenvalues; 4.2 Fixed Points of Nonlinear Systems; 4.2.1 Stability of Fixed Points; 4.2.2 Classification of Fixed Points; 4.2.3 Hartman-Grobman and Shoshitaishvili Theorems; 4.3 Center-Manifold Reduction 4.4 Local Bifurcations of Fixed Points4.4.1 Saddle-Node Bifurcation; 4.4.2 Nonbifurcation Point; 4.4.3 Transcritical Bifurcation; 4.4.4 Pitchfork Bifurcation; 4.4.5 Hopf Bifurcations; 4.5 Normal Forms of Static Bifurcations; 4.5.1 The Method of Multiple Scales; 4.5.2 Center-Manifold Reduction; 4.5.3 A Projection Method; 4.6 Normal Form of Hopf Bifurcation; 4.6.1 The Method of Multiple Scales; 4.6.2 Center-Manifold Reduction; 4.6.3 Projection Method; 4.7 Exercises; 5 Forced Oscillations of the Duffing Oscillator; 5.1 Primary Resonance; 5.2 Subharmonic Resonance of Order One-Third 5.3 Superharmonic Resonance of Order Three5.4 An Alternate Approach; 5.4.1 Subharmonic Case; 5.4.2 Superharmonic Case; 5.5 Exercises; 6 Forced Oscillations of SDOF Systems; 6.1 Introduction; 6.2 Primary Resonance; 6.3 Subharmonic Resonance of Order One-Half; 6.4 Superharmonic Resonance of Order Two; 6.5 Subharmonic Resonance of Order One-Third; 7 Parametrically Excited Systems; 7.1 The Mathieu Equation; 7.1.1 Fundamental Parametric Resonance; 7.1.2 Principal Parametric Resonance; 7.2 Multiple-Degree-of-Freedom Systems; 7.2.1 The Case of Near 2+1; 7.2.2 The Case of Near 2-1 7.2.3 The Case of Near 2+1 and 3-2 |
| Record Nr. | UNINA-9910829822303321 |
Nayfeh Ali Hasan <1933->
|
||
| Weinheim, Germany, : Wiley-VCH, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The method of normal forms [[electronic resource] /] / Ali Hasan Nayfeh
| The method of normal forms [[electronic resource] /] / Ali Hasan Nayfeh |
| Autore | Nayfeh Ali Hasan <1933-> |
| Edizione | [2nd, updated and enl. ed.] |
| Pubbl/distr/stampa | Weinheim, Germany, : Wiley-VCH, c2011 |
| Descrizione fisica | 1 online resource (343 p.) |
| Disciplina |
512.9/44
512.944 |
| Soggetto topico |
Normal forms (Mathematics)
Differential equations - Numerical solutions |
| ISBN |
3-527-63577-7
1-283-92749-7 3-527-63578-5 3-527-63580-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Method of Normal Forms; Contents; Preface; Introduction; 1 SDOF Autonomous Systems; 1.1 Introduction; 1.2 Duffing Equation; 1.3 Rayleigh Equation; 1.4 Duffing-Rayleigh-van der Pol Equation; 1.5 An Oscillator with Quadratic and Cubic Nonlinearities; 1.5.1 Successive Transformations; 1.5.2 The Method of Multiple Scales; 1.5.3 A Single Transformation; 1.6 A General System with Quadratic and Cubic Nonlinearities; 1.7 The van der Pol Oscillator; 1.7.1 The Method of Normal Forms; 1.7.2 The Method of Multiple Scales; 1.8 Exercises; 2 Systems of First-Order Equations; 2.1 Introduction
2.2 A Two-Dimensional System with Diagonal Linear Part2.3 A Two-Dimensional System with a Nonsemisimple Linear Form; 2.4 An n-Dimensional System with Diagonal Linear Part; 2.5 A Two-Dimensional System with Purely Imaginary Eigenvalues; 2.5.1 The Method of Normal Forms; 2.5.2 The Method of Multiple Scales; 2.6 A Two-Dimensional System with Zero Eigenvalues; 2.7 A Three-Dimensional System with Zeroand Two Purely Imaginary Eigenvalues; 2.8 The Mathieu Equation; 2.9 Exercises; 3 Maps; 3.1 Linear Maps; 3.1.1 Case of Distinct Eigenvalues; 3.1.2 Case of Repeated Eigenvalues; 3.2 Nonlinear Maps 3.3 Center-Manifold Reduction3.4 Local Bifurcations; 3.4.1 Fold or Tangent or Saddle-Node Bifurcation; 3.4.2 Transcritical Bifurcation; 3.4.3 Pitchfork Bifurcation; 3.4.4 Flip or Period-Doubling Bifurcation; 3.4.5 Hopf or Neimark-Sacker Bifurcation; 3.5 Exercises; 4 Bifurcations of Continuous Systems; 4.1 Linear Systems; 4.1.1 Case of Distinct Eigenvalues; 4.1.2 Case of Repeated Eigenvalues; 4.2 Fixed Points of Nonlinear Systems; 4.2.1 Stability of Fixed Points; 4.2.2 Classification of Fixed Points; 4.2.3 Hartman-Grobman and Shoshitaishvili Theorems; 4.3 Center-Manifold Reduction 4.4 Local Bifurcations of Fixed Points4.4.1 Saddle-Node Bifurcation; 4.4.2 Nonbifurcation Point; 4.4.3 Transcritical Bifurcation; 4.4.4 Pitchfork Bifurcation; 4.4.5 Hopf Bifurcations; 4.5 Normal Forms of Static Bifurcations; 4.5.1 The Method of Multiple Scales; 4.5.2 Center-Manifold Reduction; 4.5.3 A Projection Method; 4.6 Normal Form of Hopf Bifurcation; 4.6.1 The Method of Multiple Scales; 4.6.2 Center-Manifold Reduction; 4.6.3 Projection Method; 4.7 Exercises; 5 Forced Oscillations of the Duffing Oscillator; 5.1 Primary Resonance; 5.2 Subharmonic Resonance of Order One-Third 5.3 Superharmonic Resonance of Order Three5.4 An Alternate Approach; 5.4.1 Subharmonic Case; 5.4.2 Superharmonic Case; 5.5 Exercises; 6 Forced Oscillations of SDOF Systems; 6.1 Introduction; 6.2 Primary Resonance; 6.3 Subharmonic Resonance of Order One-Half; 6.4 Superharmonic Resonance of Order Two; 6.5 Subharmonic Resonance of Order One-Third; 7 Parametrically Excited Systems; 7.1 The Mathieu Equation; 7.1.1 Fundamental Parametric Resonance; 7.1.2 Principal Parametric Resonance; 7.2 Multiple-Degree-of-Freedom Systems; 7.2.1 The Case of Near 2+1; 7.2.2 The Case of Near 2-1 7.2.3 The Case of Near 2+1 and 3-2 |
| Record Nr. | UNINA-9910841404503321 |
|
Nayfeh Ali Hasan <1933->
|
||
| Weinheim, Germany, : Wiley-VCH, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Method of normal forms / Ali H. Nayfeh
| Method of normal forms / Ali H. Nayfeh |
| Autore | Nayfeh, Ali Hasan |
| Pubbl/distr/stampa | New York [etc.], : J. Wiley & sons, c1993 |
| Descrizione fisica | XII, 218 p. ; 25 cm |
| Disciplina |
512.9
512.944 |
| Collana |
Wiley interscience publication
Wiley series in nonlinear science |
| Soggetto topico |
Equazioni differenziali - Risoluzione - Metodi numerici
Forme algebriche |
| ISBN | 0471593540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-RMS0012087 |
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Nayfeh, Ali Hasan
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| New York [etc.], : J. Wiley & sons, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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Modular forms and functions / Robert A. Rankin
| Modular forms and functions / Robert A. Rankin |
| Autore | Rankin, Robert Alexander |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 1977 |
| Descrizione fisica | xiii, 384 p. ; 24 cm. |
| Disciplina | 512.944 |
| Soggetto topico |
Modular forms
Modular functions |
| ISBN | 052121212X |
| Classificazione | AMS 11F03 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001155329707536 |
|
Rankin, Robert Alexander
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| Cambridge : Cambridge University Press, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Modular forms and Hecke operators / A. N. Andrianov, V.G. Zhuravlev
| Modular forms and Hecke operators / A. N. Andrianov, V.G. Zhuravlev |
| Autore | Andrianov, Anatoli N. |
| Pubbl/distr/stampa | Providence (RI) : American Mathematical Society, c1995 |
| Descrizione fisica | vii, 334 p. : ill. ; 26 cm |
| Disciplina | 512.944 |
| Collana | Translations of mathematical monographs |
| Soggetto non controllato |
Forme modulari
Operatori di hecke |
| ISBN | 0-8218-0277-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001364120403321 |
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Andrianov, Anatoli N.
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| Providence (RI) : American Mathematical Society, c1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Multiplicative invariant theory / Martin Lorenz
| Multiplicative invariant theory / Martin Lorenz |
| Autore | Lorenz, Martin |
| Pubbl/distr/stampa | Berlin : Springer, c2005 |
| Descrizione fisica | xi, 177 p. : ill. ; 24 cm |
| Disciplina | 512.944 |
| Collana | Encyclopaedia of mathematical sciences, 0938-0396 ; 135. Invariant theory and algebraic transformation groups ; 6 |
| Soggetto topico | Invariants |
| ISBN | 3540243232 |
| Classificazione | AMS 13A50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001265779707536 |
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Lorenz, Martin
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| Berlin : Springer, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Quadratic and Hermatian forms
| Quadratic and Hermatian forms |
| Autore | SCHARLAU, Winfried |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1985 |
| Descrizione fisica | X, 421 p. ; 23 cm |
| Disciplina | 512.944 |
| Collana | Die grundlehren der mathematischen wissenschaften |
| Soggetto non controllato |
Forme quadratiche
Forme hermitiane |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990000639660203316 |
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SCHARLAU, Winfried
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| Berlin : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Quadratic and hermitian forms / [eds. Carl R. Riehm, Ian Hambleton]
| Quadratic and hermitian forms / [eds. Carl R. Riehm, Ian Hambleton] |
| Autore | Conference on quadratic forms and hermitian K-theory <1983 ; Hamilton> |
| Pubbl/distr/stampa | Providence, R.I. : published by the American Mathematical Society for the Canadian Mathematical Society, c1984 |
| Descrizione fisica | xviii, 338 p. : ill., ports. ; 26 cm. |
| Disciplina | 512.944 |
| Altri autori (Persone) |
Hambleton, Ianauthor
Riehm, Carl R.author |
| Collana | Conference proceedings [Canadian Mathematical Society] ; 4 |
| Soggetto topico |
Hermitian forms - Congresses
Quadratic forms - Congresses |
| ISBN | 0821860089 (pbk.) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001274259707536 |
|
Conference on quadratic forms and hermitian K-theory <1983 ; Hamilton>
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| Providence, R.I. : published by the American Mathematical Society for the Canadian Mathematical Society, c1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Quadratic and Hermitian forms / Winfried Scharlau
| Quadratic and Hermitian forms / Winfried Scharlau |
| Autore | Scharlau, Winfried |
| Pubbl/distr/stampa | Berlin [etc.] : Springer, 1985 |
| Descrizione fisica | X, 421 p. ; 25 cm. |
| Disciplina | 512.944 |
| Collana | Grundlehren der mathematischen Wissenschaften |
| Soggetto topico |
Algebra
Numeri - Teoria |
| ISBN | 3-540-13724-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNIBAS-000015510 |
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Scharlau, Winfried
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| Berlin [etc.] : Springer, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. della Basilicata | ||
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Quadratic and Hermitian forms / Winfried Scharlau
| Quadratic and Hermitian forms / Winfried Scharlau |
| Autore | Scharlau, Winfried |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1985 |
| Descrizione fisica | x, 421 p. ; 24 cm. |
| Disciplina | 512.944 |
| Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 270 |
| Soggetto topico |
Hermitian forms
Quadratic forms |
| ISBN | 3540137246 |
| Classificazione |
AMS 12D
AMS 12E QA243.S38 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001274329707536 |
|
Scharlau, Winfried
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| Berlin ; New York : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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