Geometric configurations of singularities of planar polynomial differential systems : a global classification in the quadratic case / / Joan C. Artés [et al.] |
Autore | Artés Joan C. <1961-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
Descrizione fisica | 1 online resource (xii, 699 pages) |
Disciplina | 514.746 |
Soggetto topico |
Singularities (Mathematics)
Polynomials Differential equations Singularitats (Matemàtica) Polinomis Equacions diferencials |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-50570-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I Polynomial differential systems with emphasis on the quadratic ones 1 Introduction 2 Survey of results on quadratic differential systems 3 Singularities of polynomial differential systems 4 Invariants in mathematical classification problems 5 Invariant theory of planar polynomial vector fields 6 Main results on classifications of singularities in QS 7 Classifications of quadratic systems with special singularities Part II 8 QS with finite singularities of total multiplicity at most one 9 QS with finite singularities of total multiplicity two 10 QS with finite singularities of total multiplicity three 11 QS with finite singularities of total multiplicity four 12 Degenerate quadratic systems 13 Conclusions |
Record Nr. | UNINA-9910485593103321 |
Artés Joan C. <1961->
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Cham, Switzerland : , : Birkhäuser, , [2021] | ||
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Lo trovi qui: Univ. Federico II | ||
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Geometric configurations of singularities of planar polynomial differential systems : a global classification in the quadratic case / / Joan C. Artés [et al.] |
Autore | Artés Joan C. <1961-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
Descrizione fisica | 1 online resource (xii, 699 pages) |
Disciplina | 514.746 |
Soggetto topico |
Singularities (Mathematics)
Polynomials Differential equations Singularitats (Matemàtica) Polinomis Equacions diferencials |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-50570-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I Polynomial differential systems with emphasis on the quadratic ones 1 Introduction 2 Survey of results on quadratic differential systems 3 Singularities of polynomial differential systems 4 Invariants in mathematical classification problems 5 Invariant theory of planar polynomial vector fields 6 Main results on classifications of singularities in QS 7 Classifications of quadratic systems with special singularities Part II 8 QS with finite singularities of total multiplicity at most one 9 QS with finite singularities of total multiplicity two 10 QS with finite singularities of total multiplicity three 11 QS with finite singularities of total multiplicity four 12 Degenerate quadratic systems 13 Conclusions |
Record Nr. | UNISA-996466413203316 |
Artés Joan C. <1961->
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Cham, Switzerland : , : Birkhäuser, , [2021] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Structurally stable quadratic vector fields / / Joan C. Artés, Robert E. Kooij, Jaume Llibre |
Autore | Artés Joan C. <1961-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1998 |
Descrizione fisica | 1 online resource (122 p.) |
Disciplina |
510 s
515/.35 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differential equations - Numerical solutions
Stability Vector fields |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0228-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminary Definitions""; ""Chapter 3. Structural Stability Theorems""; ""Chapter 4. Some Preliminary Tools""; ""Chapter 5. Proof of Theorem 1.1(a)""; ""5.1 Introduction""; ""5.2 Case 7""; ""5.3 Case 9""; ""5.4 Case 10""; ""5.4.1 Case 10 A""; ""5.4.2 Case 10 B""; ""5.5 Case 12""; ""5.5.1 Case 12 A""; ""5.5.2 Case 12 B""; ""5.6 Classes that are not realizable""; ""5.7 Final Classification""; ""Chapter 6. Proof of Theorem 1.1(b)""; ""6.1 Introduction""; ""6.2 Realization of cases previously known""; ""6.3 Proof of Proposition 5.13""
""6.4 Numerical examples""""Chapter 7. Proofs of Theorems 1.2, 1.3 and 1.4""; ""Chapter 8. Structural Stability and the Parameter Space""; ""Bibliography"" |
Record Nr. | UNINA-9910480644503321 |
Artés Joan C. <1961->
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Providence, Rhode Island : , : American Mathematical Society, , 1998 | ||
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Lo trovi qui: Univ. Federico II | ||
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Structurally stable quadratic vector fields / / Joan C. Artés, Robert E. Kooij, Jaume Llibre |
Autore | Artés Joan C. <1961-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1998 |
Descrizione fisica | 1 online resource (122 p.) |
Disciplina |
510 s
515/.35 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differential equations - Numerical solutions
Stability Vector fields |
ISBN | 1-4704-0228-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminary Definitions""; ""Chapter 3. Structural Stability Theorems""; ""Chapter 4. Some Preliminary Tools""; ""Chapter 5. Proof of Theorem 1.1(a)""; ""5.1 Introduction""; ""5.2 Case 7""; ""5.3 Case 9""; ""5.4 Case 10""; ""5.4.1 Case 10 A""; ""5.4.2 Case 10 B""; ""5.5 Case 12""; ""5.5.1 Case 12 A""; ""5.5.2 Case 12 B""; ""5.6 Classes that are not realizable""; ""5.7 Final Classification""; ""Chapter 6. Proof of Theorem 1.1(b)""; ""6.1 Introduction""; ""6.2 Realization of cases previously known""; ""6.3 Proof of Proposition 5.13""
""6.4 Numerical examples""""Chapter 7. Proofs of Theorems 1.2, 1.3 and 1.4""; ""Chapter 8. Structural Stability and the Parameter Space""; ""Bibliography"" |
Record Nr. | UNINA-9910788735203321 |
Artés Joan C. <1961->
![]() |
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Providence, Rhode Island : , : American Mathematical Society, , 1998 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Structurally stable quadratic vector fields / / Joan C. Artés, Robert E. Kooij, Jaume Llibre |
Autore | Artés Joan C. <1961-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1998 |
Descrizione fisica | 1 online resource (122 p.) |
Disciplina |
510 s
515/.35 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differential equations - Numerical solutions
Stability Vector fields |
ISBN | 1-4704-0228-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminary Definitions""; ""Chapter 3. Structural Stability Theorems""; ""Chapter 4. Some Preliminary Tools""; ""Chapter 5. Proof of Theorem 1.1(a)""; ""5.1 Introduction""; ""5.2 Case 7""; ""5.3 Case 9""; ""5.4 Case 10""; ""5.4.1 Case 10 A""; ""5.4.2 Case 10 B""; ""5.5 Case 12""; ""5.5.1 Case 12 A""; ""5.5.2 Case 12 B""; ""5.6 Classes that are not realizable""; ""5.7 Final Classification""; ""Chapter 6. Proof of Theorem 1.1(b)""; ""6.1 Introduction""; ""6.2 Realization of cases previously known""; ""6.3 Proof of Proposition 5.13""
""6.4 Numerical examples""""Chapter 7. Proofs of Theorems 1.2, 1.3 and 1.4""; ""Chapter 8. Structural Stability and the Parameter Space""; ""Bibliography"" |
Record Nr. | UNINA-9910818127403321 |
Artés Joan C. <1961->
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Providence, Rhode Island : , : American Mathematical Society, , 1998 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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