Basic Information
Discrete and Continuous Dynamical System. Conjugacy, Semi Conjugacy And Topological Equivalence Between Systems, Symbolic Dynamics. Hyperbolic Fixed Points and Lyapunov Stability. Basic Bifurcations# Saddle-node, Pitchfork and Hopf. Invariant Sets and Attractors. Poincare' Section. The Stable Manifold Theorem of Poincare' And The Hartman-grobman Theorem. Optional Additional Topics Such As Geodesic Flows, Axiom a Systems And The Center-focus Problem. Learning Outcomes# By The End of The Course The Student Will Be Familiar With Examples Of Chaotic Dynamical Systems and Will Be Able to Use Symbolic Dynamics And Bifurcation Analysis in Order to Analyse Systems in Low Dimensions
Faculty: Mathematics
|Undergraduate Studies
|Graduate Studies
Pre-required courses
104285 - Ordinary Differential Equations A
Semestrial Information
Weekly Hours
3 Academic Credit • 3 Lecture Hours
Responsible(s)
Tali Pinsky
Registration Groups
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Weekly Hours
3 Academic Credit • 3 Lecture Hours
Responsible(s)
Tali Pinsky
Exams
Session A: 08-02-2022 Session B: 08-03-2022 Session C: 29-03-2022Registration Groups
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