Strogatz nonlinear dynamics chaos pdf
Periodic orbits and Poincare maps, Poincare-Bendixon Thm, index theory.
Bonus questions are for your own curiosity and development.There will be an exam.127 ( GH ) Nonlinear webster 1828 dictionary pdf Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Guckenheimer, J and.Soft billiards and Hamiltonian systems with soft impacts.Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for.Modeling: non-dimensionalization, pi theorem, scaling, introto perturbation theory: regular vs singular perturbation theory.Date, topics, homework, reading/materials 15/3/15. .Due: 25/11/14 (M) Ch 3 25/11/14.M 24/5/15 Shavuot 2/6/15. .David Logan, 2013, John Wiley and Sons, New York (D) An Introduction to Chaotic dynamical systems.
Liouville theorem h mwrk 3 26/4/15.
The course is advanced.
Limit cycles Blue sky catastrophe 12/2/15 Exam See previous exams for the style of questions.
Students may take only the first semester for 2 credit points.
Guide for Authors for information on article submission.
In this course we will learn a little bit about integrable systems (the Arnold-Liouville theorem, Energy-momentum diagrams and Fomenko Graphs) and then concentrate on studying near-integrable (various types of Hamiltonian chaotic mechanisms) and far from integrable (near billiards dynamics) Hamiltonian systems.2.5.6, leaky basket, Solution, strogatz,.5.6.pdf, strogatz Nonlinear Dynamics and Chaos.5.6 - (The ziplevel pro 2000 new zealand leaky basket).Energy-momentum bifurcation diagrams and the branched surfaces, Resonances:elliptic, hyperbolic and parabolic resonances, degenerate resonances (Zaslavski web maps).Basic notions of DS: Complete flows.Fall 2014-Spring 2015, second semester: Hamiltonian Systems - Sundays at 10:15-12:15.Symmetries, Noether thm.5 dof systems: motion in the extended phase space, a few words on averaging theory KAM theory and resonances (M).4, (MH).4 (M).13, (GH (W) 3/5/15. .If you experience any problems when submitting your paper, or have any questions about the technical side of the submission process, please contact the Journal Manager.(M) Pg 23 ex 3,7,10 Bonus: integrate the. .Existence and uniqeness contraction map principle.Segel, McMillan Publishing., 1974.Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena.Generating functions, action-angle coordinates (MH) 6 19/4/15. .