MA956 - Nonlinear Dynamics
Lecturer: Robert MacKay
Term(s): Term 1
Commitment: 30 lectures
Assessment: Oral exam
Prerequisites: Familiarity with topics covered in MA4H0 Applied Dynamical Systems
Content: Uniformly hyperbolic dynamics, Normally hyperbolic submanifolds, Non-autonomous dynamics, Bifurcations, Hamiltonian dynamics, Examples of their use in science
References:
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Guckenheimer & Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, 1983) Arrowsmith & Place, An introduction to dynamical systems (CUP, 1990) Hasselblatt & Katok, Introduction to the modern theory of dynamical systems (CUP, 1995) Robinson, Dynamical Systems (CRC, 1998) |