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Virginia Tech

ESM-4114: 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: AOE-4514

Repeatability: N/A

Sections Taught: 10

Average GPA: 3.33 (A-)

Strict A Rate (No A-) : 43.98%

Average Withdrawal Rate: 5.83%

Staff Hanna201928.9%41.0%13.3%5.6%1.5%9.7%3.046
Scott L Hendricks2007100.0%0.0%0.0%0.0%0.0%0.0%4.001
Susanne Aref201066.7%27.8%5.5%0.0%0.0%0.0%3.612
Shane D Ross202185.7%7.1%7.1%0.0%0.0%0.0%3.811

Grade Distribution Over Time