Dynamical Systems

 Dynamical systems I (Winter-2012)

Syllabus:

1– introduction to dynamical systems: phase space, linearization, ….

2– one-dimensional systems: fixed point, exact solution

3– two-dimensional systems: fixed point, limit cycle, bifurcation

4– higher dimensional systems: complex behavior, chaotic system

5– application to neuroscinece: relaxation oscillators

References:

1– Dynamical systems in neuroscience, E. M. Izhikevich, MIT Press (2007).

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