APPLMATH 3813A/B

NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS AND CHAOS

0.50 credits

Existence and uniqueness of solutions, phase space, singular points, stability, periodic attractors, Poincaré-Bendixson theorem, examples from physics, biology and engineering, frequency (phase) locking, parametric resonance, Floquet theory, stability of periodic solutions, strange attractors and chaos, Lyapunov exponents, chaos in nature, fractals.

Prerequisites & course information

Prerequisite(s): Calculus 2503A/B; one of Applied Mathematics 2402A/B or Numerical and Mathematical Methods 2270A/B . Extra Information: 3 lecture hours. Course Weight: 0.50

Sources

Course catalogue ↗2026-2027