Treffer: Dynamical system and chaos
Titel:
Dynamical system and chaos : an introduction with applications / Rui Dilão
Beteiligt:
Veröffentlicht:
Cham, Switzerland : Springer, [2023]
Umfang:
ix, 326 Seiten : Illustrationen, Diagramme
Format:
Sprache:
Englisch
Schriftenreihe/Mehrbändiges Werk:
UNITEXT for physics
Andere Ausgaben:
Erscheint auch als Online-Ausgabe: ISBN 9783031251542
Anmerkungen:
Literaturverzeichnis: Seite 317-321
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
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
Schlagworte:
ISBN:
9783031251535 ; 9783031251566 ; 9783031251542 (Sekundärausgabe)