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Virginia Tech

AOE-4514: Nonlinear Dynamics and Chaos

Description: Motion of systems governed by differential equations: stability, geometry, phase planes, bifurcations, Poincare sections, point attractors, limit cycles, chaos and strange attractors, Lyapunov exponents. Forced, nonlinear oscillations: jump phenomena, harmonic resonances, Hopf bifurcations, averaging and multiple-scales analysis. Systems governed by discrete maps: return maps, cobweb plots, period-multiplying bifurcations, intermittency, delay coordinates, fractal dimensions.

Pathways: N/A

Course Hours: 3 credits

Prerequisites: (ESM-2304 or PHYS-2504) and (MATH-2214 or MATH-2214H)

Required By: N/A

Corequisites: N/A

Crosslist: ESM-4114

Repeatability: N/A

Sections Taught: 2

Average GPA: 3.96 (A)

Strict A Rate (No A-) : 84.58%

Average Withdrawal Rate: 6.72%

Shane D Ross202391.1%2.2%0.0%0.0%0.0%6.7%3.962

Grade Distribution Over Time