Dynamics and Bifurcations
Published on 19. November 2011
Book
Paperback/Softback
XIV, 574 pages
978-1-4612-8765-0 (ISBN)
Description
The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book.
Reviews / Votes
J.K. Hale, H. Kocak, and H. Buttanri
Dynamics and Bifurcations
"This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from 1 to 2 dimensions and onto higher dimensions in separate self-contained sections, the text is mathematically rigorous yet devoid of excess formalism. A refreshing balance is further achieved by the use of many excellent illustrations and a wealth of worked and unworked examples."- MATHEMATIKA
More details
Series
Edition
Softcover reprint of the original 1st ed. 1991
Language
English
Place of publication
New York
United States
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
XIV, 574 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 32 mm
Weight
885 gr
ISBN-13
978-1-4612-8765-0 (9781461287650)
DOI
10.1007/978-1-4612-4426-4
Schweitzer Classification
Other editions
Additional editions
Book
12/1991
Springer
€86.62
Shipment within 5-7 days
Persons
Content
I: Dimension One.- 1. Scalar Autonomous Equations.- 2. Elementary Bifurcations.- 3. Scalar Maps.- II: Dimension One and One Half.- 4. Scalar Nonautonomous Equations.- 5. Bifurcation of Periodic Equations.- 6. On Tori and Circles.- III: Dimension Two.- 7. Planar Autonomous Systems.- 8. Linear Systems.- 9. Near Equilibria.- 10. In the Presence of a Zero Eigenvalue.- 11. In the Presence of Purely Imaginary Eigenvalues.- 12. Periodic Orbits.- 13. All Planar Things Considered.- 14- Conservative and Gradient Systems.- 15. Planar Maps.- IV: Higher Dimensions.- 16. Dimension Two and One Half.- 17. Dimension Three.- 18. Dimension Four.- Farewell.- APPENDIX: A Catalogue of Fundamental Theorems.- References.