Systems of non-linear discrete-time equations (dV: 2.3; EK: 2.7-2.9, 3.3-3.4)
September 19:...
September 21,26: Computer class: hw0, solving discrete systems, cob-webbing, playing with Romeo-Juiliet model (phase planes, etc).
September 28: Review, invcluding review problems
October 3: Midterm
October 10,12: Intro to continuous models: x'=sin x, N'=rN, N'=rN(1-K/N). Analytical (sep. of variables) and Geometric solutions, vector field, phase
space, phase flow, trajectory, stability (linearization), characteristic time scale, existence and uniqueness (St ch.1, dV)
October 31: Sections 1 and 3 from Book chapter from: Methods and Models in Neurophysics,
Les Houches Summer School, Session LXXX, C. Chow, B. Gutkin,
D. Hansel and C. Meunier (eds). Elsevier, 2004