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Dec 13, 2024
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ME 663 - Nonlinear Dynamics and Chaos (3 units)
Motion of systems governed by ordinary differential equations: phase portraits, point attractors, limit cycles, stability, bifurcations, Poincaré sections, chaos & strange attractors, Lyapunov exponents, fractal dimensions, delay coordinates. Forced, nonlinear oscillations: jump phenomena, parametric & harmonic resonances, perturbation methods including averaging & multiple-scales analysis. Systems governed by discrete maps: return maps, cobweb plots, period-doubling bifurcations, intermittency.
Grading Basis: Graded
Units of Lecture: 3
Offered: Every Spring
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. acquire and apply new knowledge as needed, using appropriate learning strategies.
2. solve low-order nonlinear equations algebraically or numerically.
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