MAGIC020: Dynamical Systems

Course details

A specialist MAGIC course

Semester

Autumn 2008
Monday, October 6th to Friday, December 12th

Hours

Live lecture hours
20
Recorded lecture hours
0
Total advised study hours
0

Timetable

Mondays
13:05 - 13:55
Thursdays
12:05 - 12:55

Description

Prerequisites

No prerequisites information is available yet.

Syllabus

Linearization of differential equations and maps. Multipliers, Floquet theory, Lyapunov exponents. Normal forms of nonlinear Hamiltonian systems and symplectic maps near fixed point. Bifurcation theory, saddle-node, Poincaré-Andronov-Hopf bifurcation, period doubling, Shilnikov bifurcation. Averaging of perturbations, elements of Kolmogorov-Arnold-Moser theory. Splitting of separatrices in perturbed Hamiltonian systems. Smale horseshoe, stochastic layer. Dynamics in slow-fast systems. Adiabatic invariants.

Lecturer

  • AN

    Professor Anatoly Neishtadt

    University
    Loughborough University

Bibliography

No bibliography has been specified for this course.

Assessment

Attention needed

Assessment information will be available nearer the time.

Files

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Lectures

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