Course Description:
Iterations of maps and differential equations; phase portraits, flows; fixed points, periodic solutions and homoclinic orbits; stability, attraction, repulsion; Poincaré maps, transition to chaos. Applications: logistic maps, interacting populations, reaction kinetics, forced Van der Pol, damped Duffing and Lorenz equations. Prerequisites: SC/MATH 2270 3.00; SC/MATH 1021 3.00 or SC/MATH 2221 3.00 or SC/MATH 1025 3.00.
Language of Instruction:
English
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