Non-smooth dynamical systems / Markus Kunze
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1744Langue : anglais.Éditeur : Berlin : Springer, 2000ISBN: 9783540679936.ISSN: 1617-9692.Sujet MSC : 34C15, Qualitative theory for ordinary differential equations, Nonlinear oscillations and coupled oscillators37B30, Topological dynamics, Index theory for dynamical systems, Morse-Conley indices
34A60, General theory for ordinary differential equations, Ordinary differential inclusions
34C60, Qualitative theory for ordinary differential equations, Qualitative investigation and simulation
70K40, Mechanics of particles and systems, Forced motions for nonlinear problems in mechanicsEn-ligne : Springerlink | Zentralblatt | MathSciNet
1. Introduction; 2. Some general theory of differential inclusions; 3. Bounded, unbounded, periodic, and almost-periodic solutions; 4. Lyapunov exponents of nonsmooth dynamical systems; 5. On the application of Conley index theory to nonsmooth dynamical systems; 6. On the application of KAM theory to nonsmooth dynamical systems; 7. Planar nonsmooth dynamical systems; 8. Melnikov’s mehod for nonsmooth dynamical systems; 9. Further topics and notes.
The material in the book is well arranged and self-consistent. Therefore, it can be used as a suitable introduction to the study of nonsmooth dynamics. (Zentralblatt)
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