Bifurcation theory of functional differential equations /
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| Author / Creator: | Guo, Shangjiang, author. |
|---|---|
| Imprint: | New York, NY : Springer, 2013. |
| Description: | 1 online resource (ix, 289 pages) : illustrations. |
| Language: | English |
| Series: | Applied Mathematical Sciences ; v.184 Applied mathematical sciences (Springer-Verlag New York Inc.) ; v.184. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9852288 |
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| 100 | 1 | |a Guo, Shangjiang, |e author. |0 http://id.loc.gov/authorities/names/nb2013019650 |1 http://viaf.org/viaf/305149217 | |
| 245 | 1 | 0 | |a Bifurcation theory of functional differential equations / |c Shangjiang Guo, Jianhong Wu. |
| 264 | 1 | |a New York, NY : |b Springer, |c 2013. | |
| 300 | |a 1 online resource (ix, 289 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Applied Mathematical Sciences ; |v v.184 | |
| 505 | 0 | 0 | |t Introduction to Dynamic Bifurcation Theory -- |t Introduction to Functional Differential Equations -- |t Center Manifold Reduction -- |t Normal Form Theory -- |t Lyapunov-Schmidt Reduction -- |t Degree Theory -- |t Bifurcation in Symmetric FDEs. |
| 520 | |a This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters. The book aims to be self-contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada). | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | |a Description based on online resource; title from PDF title page (SpringerLink, viewed August 20, 2013). | ||
| 650 | 0 | |a Bifurcation theory. |0 http://id.loc.gov/authorities/subjects/sh85013940 | |
| 650 | 0 | |a Functional differential equations. |0 http://id.loc.gov/authorities/subjects/sh85052313 | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Difference and Functional Equations. |
| 650 | 2 | 4 | |a Dynamical Systems and Ergodic Theory. |
| 650 | 2 | 4 | |a Ordinary Differential Equations. |
| 655 | 4 | |a Electronic books. | |
| 650 | 7 | |a Bifurcation theory. |2 fast |0 http://id.worldcat.org/fast/fst00831564 | |
| 650 | 7 | |a Functional differential equations. |2 fast |0 http://id.worldcat.org/fast/fst00936063 | |
| 700 | 1 | |a Wu, Jianhong, |d 1964-, |e author. |0 http://id.loc.gov/authorities/names/no2008109775 |1 http://viaf.org/viaf/22298653 | |
| 830 | 0 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) ; |v v.184. | |
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| 928 | |t Library of Congress classification |a QA380 |l Online |c UC-FullText |u http://dx.doi.org/10.1007/978-1-4614-6992-6 |z SpringerLink |g ebooks |i 11494573 | ||