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＜電子ブック＞
Dynamics and Bifurcations / by Jack K. Hale, Hüseyin Kocak
(Texts in Applied Mathematics. ISSN:21969949 ; 3)

版	1st ed. 1991.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1991
本文言語	英語
大きさ	XIV, 574 p : online resource
著者標目	*Hale, Jack K author Kocak, Hüseyin author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:System theory LCSH:Mathematical physics FREE:Analysis FREE:Complex Systems FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-4426-4

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