Cargando…

Limit Cycles of Differential Equations

This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of abe...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Christopher, Colin (Autor), Li, Chengzhi (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Colección:Advanced Courses in Mathematics - CRM Barcelona,
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-7643-8410-4
003 DE-He213
005 20220113070809.0
007 cr nn 008mamaa
008 100301s2007 sz | s |||| 0|eng d
020 |a 9783764384104  |9 978-3-7643-8410-4 
024 7 |a 10.1007/978-3-7643-8410-4  |2 doi 
050 4 |a QA370-380 
072 7 |a PBKJ  |2 bicssc 
072 7 |a MAT007000  |2 bisacsh 
072 7 |a PBKJ  |2 thema 
082 0 4 |a 515.35  |2 23 
100 1 |a Christopher, Colin.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Limit Cycles of Differential Equations  |h [electronic resource] /  |c by Colin Christopher, Chengzhi Li. 
250 |a 1st ed. 2007. 
264 1 |a Basel :  |b Birkhäuser Basel :  |b Imprint: Birkhäuser,  |c 2007. 
300 |a VIII, 171 p.  |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 Advanced Courses in Mathematics - CRM Barcelona,  |x 2297-0312 
505 0 |a Around the Center-Focus Problem -- Centers and Limit Cycles -- Darboux Integrability -- Liouvillian Integrability -- Symmetry -- Cherkas' Systems -- Monodromy -- The Tangential Center-Focus Problem -- Monodromy of Hyperelliptic Abelian Integrals -- Holonomy and the Lotka-Volterra System -- Other Approaches -- Abelian Integrals and Applications to the Weak Hilbert's 16th Problem -- Hilbert's 16th Problem and Its Weak Form -- Abelian Integrals and Limit Cycles -- Estimate of the Number of Zeros of Abelian Integrals -- A Unified Proof of the Weak Hilbert's 16th Problem for n=2. 
520 |a This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems. 
650 0 |a Differential equations. 
650 0 |a Dynamical systems. 
650 1 4 |a Differential Equations. 
650 2 4 |a Dynamical Systems. 
700 1 |a Li, Chengzhi.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783764392055 
776 0 8 |i Printed edition:  |z 9783764384098 
830 0 |a Advanced Courses in Mathematics - CRM Barcelona,  |x 2297-0312 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-7643-8410-4  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)