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Phase Portraits of Planar Quadratic Systems
Although some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand paper...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer US : Imprint: Springer,
2007.
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| Edición: | 1st ed. 2007. |
| Colección: | Mathematics and Its Applications ;
583 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-0-387-35215-2 | ||
| 003 | DE-He213 | ||
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| 020 | |a 9780387352152 |9 978-0-387-35215-2 | ||
| 024 | 7 | |a 10.1007/978-0-387-35215-2 |2 doi | |
| 050 | 4 | |a QA370-380 | |
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| 100 | 1 | |a Reyn, John. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Phase Portraits of Planar Quadratic Systems |h [electronic resource] / |c by John Reyn. |
| 250 | |a 1st ed. 2007. | ||
| 264 | 1 | |a New York, NY : |b Springer US : |b Imprint: Springer, |c 2007. | |
| 300 | |a XVI, 334 p. 144 illus. |b online resource. | ||
| 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 |b PDF |2 rda | ||
| 490 | 1 | |a Mathematics and Its Applications ; |v 583 | |
| 505 | 0 | |a Critical points in quadratic systems -- Isoclines, critical points and classes of quadratic systems -- Analyzing phase portraits of quadratic systems -- Phase portraits of quadratic systems in the class mf=0 -- Quadratic systems with center points -- Limit cycles in quadratic systems -- Phase portraits of quadratic systems in the class mf=1 -- Phase portraits of quadratic systems in the class mf=2 -- Phase portraits of quadratic systems in the class mf=3 -- Phase portraits of quadratic systems in the class mf=4. | |
| 520 | |a Although some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand papers on the subject. This book attempts to give a presentation of the advance of our knowledge of phase portraits of quadratic systems, paying special attention to the historical development of the subject. The book organizes the portraits into classes, using the notions of finite and infinite multiplicity and finite and infinite index. Classifications of phase portraits for various classes are given using the well-known methods of phase plane analysis. Audience This book is intended for mathematics graduate students and researchers studying quadratic systems. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Population genetics. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Population Genetics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780387510965 |
| 776 | 0 | 8 | |i Printed edition: |z 9781441940247 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387304137 |
| 830 | 0 | |a Mathematics and Its Applications ; |v 583 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-387-35215-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||