Dynamical System and Chaos An Introduction with Applications /
This textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical syste...
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| Erakunde egilea: | |
| Formatua: | Baliabide elektronikoa eBook |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Edizioa: | 1st ed. 2023. |
| Saila: | UNITEXT for Physics,
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| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.1007/978-3-031-25154-2 |
| Etiketak: |
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Aurkibidea:
- Differential Equations as Dynamical Systems
- Stability of fixed points
- Difference equations as dynamical systems
- Classification of fixed points
- Hamiltonian systems
- Numerical Methods.-Strange Attractors and Maps of an Interval
- Stable, Unstable and Centre manifolds.-Dynamics in the Centre Manifold
- Lyapunov Exponents and Oseledets Theorem
- Chaos
- Limit and Recurrent Sets.-Poincare Maps
- The Poincare-Bendixon Theorem
- Bifurcations of Differential Equations.-Singular Pertubations and Ducks.-Strange Attractors in Delay Equations
- Complexity of Strange Attractors.-Intermittency
- Cellular Automata
- Maps of the Complex Plane
- Stochastic Iteration of Function Systems
- Linear Maps on the Torus and Symbolic Dynamics
- Parametric Resonance
- Robot Motion
- Synchronisation of Pendula
- Synchronisation of Clocks
- Chaos in Stormer Problem.-Introduction to Celestial mechanics
- Introduction to non-Liner control Theory
- Appendices.