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Differential equations and dynamical systems /
This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is giv...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Springer,
©1996.
|
| Edición: | 2nd ed. |
| Colección: | Texts in applied mathematics ;
7. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Perko, Lawrence. | |
| 245 | 1 | 0 | |a Differential equations and dynamical systems / |c Lawrence Perko. |
| 250 | |a 2nd ed. | ||
| 260 | |a New York : |b Springer, |c ©1996. | ||
| 300 | |a 1 online resource (xiv, 519 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 347 | |b PDF | ||
| 490 | 1 | |a Texts in applied mathematics ; |v 7 | |
| 504 | |a Includes bibliographical references (pages 507-512) and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | |a Linear Systems -- Nonlinear Systems: Local Theory (includes new sections on Manifold theory and normal form theory) -- Nonlinear Systems: Global theory -- Nonlinear Systems: Bifurcation Theory (includes new sections on Global bifurcation of systems in R2, Second and higher order Melnikov theory, Taken's Bogdanov Bifurcation, Cappel problem for binded quadratic systems). | |
| 520 | |a This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem, the use of the Poincare map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles. In addition to minor corrections and updates throughout, this new edition contains materials on higher order Melnikov functions and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Differential equations, Nonlinear. | |
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 6 | |a Équations différentielles non linéaires. | |
| 650 | 6 | |a Dynamique différentiable. | |
| 650 | 7 | |a Ecuaciones diferenciales no lineales |2 embne | |
| 650 | 0 | 7 | |a Sistemas dinámicos diferenciables |2 embucm |
| 650 | 7 | |a Differentiable dynamical systems |2 fast | |
| 650 | 7 | |a Differential equations, Nonlinear |2 fast | |
| 650 | 7 | |a Gewöhnliche Differentialgleichung |2 gnd | |
| 650 | 7 | |a Nichtlineare Differentialgleichung |2 gnd | |
| 650 | 7 | |a Dynamisches System |2 gnd | |
| 650 | 7 | |a Equacoes diferenciais. |2 larpcal | |
| 650 | 7 | |a Sistemas dinamicos. |2 larpcal | |
| 650 | 7 | |a Équations différentielles. |2 ram | |
| 650 | 7 | |a Équations différentielles non linéaires. |2 ram | |
| 650 | 7 | |a Dynamique différentiable. |2 ram | |
| 650 | 7 | |a Systèmes dynamiques. |2 ram | |
| 655 | 7 | |a Aufgabensammlung. |2 swd | |
| 758 | |i has work: |a Differential equations and dynamical systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG3VjpXCRpW8BDmxXx8GMd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Perko, Lawrence. |t Differential equations and dynamical systems. |b 2nd ed. |d New York : Springer, ©1996 |w (DLC) 96015204 |w (OCoLC)34513461 |
| 830 | 0 | |a Texts in applied mathematics ; |v 7. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3081947 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3081947 | ||
| 938 | |a YBP Library Services |b YANK |n 13372768 | ||
| 994 | |a 92 |b IZTAP | ||