Dynamical systems I (Winter-2012)
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
1– Dynamical systems in neuroscience, E. M. Izhikevich, MIT Press (2007).