מבוא
- כניסה לשיעורים מקוונים מפגש זום
יחידת־הוראה
תצוגההסתרה
הקליקו על כותרת יחידת ההוראה כדי להציג או להסתיר אותה.
Topics
- Surprises in the nonlinear world (Some history and Examples: Logistic equation, Catalysis, Fermi-Pasta-Ulam Problem, Chaotic systems);
- Concepts in dynamical systems (phase space, fixed points, stability, Poincare map);
- Basic theorems in system dynamics (Poincare-Lyapounov, Hartmann-Grobmann, Center Manifold, Review of KAM Theorem);
- Perturbation theory (secular terms, resonance in perturbation theory, Gronwall lemma, error estimation in approximation methods);
- Perturbation method (method of multiple time scales, method of normal forms, freedom in choice of zero-order approximation);
- Applications in ODE's (Duffing oscillator, forced oscillations, limit cycles; Lorentz equations);
- Applications in PDE's (nonlinear diffusion; amplitude equations; nonlinear wave equations - Burgers, KdV & NLS equations and their wave solutions, solitons, compactons);
- Chaos in discrete maps - logistic equation;
- Fractals - basic concepts.
Textbooks
There is no one main textbook in the course. Some of the books, which are relevant to the course are listed bellow. The relevant chapters could be read from the table above.
- Callen - Thermodynamics
- Dorfman and Beijeren - The Kinetic Theory of Gases (1977)
- Fermi - Thermodynamics
- Huang - Statistical Mechanics
- Kardar - Statistical Physics of Particles
- Kittel and Kroemer - Thermal Physics
- Reichl - A Modern Course in Statistical Physics
- Reif - Fundamentals of Statistical and Thermal Physics
- Stanley - Introduction to Phase Transitions and Critical Phenomena
- Tong - Lecture notes on kinetic theory
Lecture, Tutorial and office hours
Lecture/Tutorial
Group What? Name Day Hours Building/Room 1 Lecture זרמי יאיר Tuesday 17:00-20:00 34/014 Class exercises
Homework exercises
Course policy
Grading
- Homework (0 points):
- Exam ( 100%)::