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OverviewThe 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. Full Product DetailsAuthor: Jack K. Hale , H. Buttanri , Hüseyin KocakPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 1st ed. 1991. Corr. 3rd printing 1996 Volume: 3 Dimensions: Width: 15.50cm , Height: 3.10cm , Length: 23.50cm Weight: 2.210kg ISBN: 9780387971414ISBN 10: 0387971416 Pages: 574 Publication Date: 06 December 1991 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI: 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.ReviewsJ.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 J.K. Hale, H. Kocak, and H. Buttanri <p>Dynamics and Bifurcations <p> 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. a MATHEMATIKA "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" 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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