DYNAMICAL SYSTEMS

MATH 807

Course Description

Treats the qualitative behavior of continuous and discrete dynamical systems, including Hamiltonian systems of differential equations. Typical topics include periodic and almost periodic solutions, the fixed point theorem of Poincare and Birkhoff, invariant curves and KAM theory, celestial mechanics, and chaotic behavior.

Prerequisties

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average

3.93

9.87% from Historical

Completion Rate

100%

3.13% from Historical

A Rate

85.71%

28.57% from Historical

Class Size

27.27% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

Similar Courses

ORDINARY DIFFERENTIAL EQUATIONS

MATH 519

Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.

APPLIED DYNAMICAL SYSTEMS, CHAOS AND MODELING

MATH 415

An introduction to nonlinear dynamical systems including stability, bifurcations and chaos. The course will give underlying mathematical ideas, but emphasize applications from many scientific fields.

NONLINEAR DYNAMICS, BIFURCATIONS AND CHAOS

CBE/ECE/MATH 777

Advanced interdisciplinary introduction to qualitative and geometric methods for dissipative nonlinear dynamical systems. Local bifurcations of ordinary differential equations and maps. Chaotic attractors, horseshoes and detection of chaos.

ORDINARY DIFFERENTIAL EQUATIONS

MATH 716

Existence, uniqueness, and continuous dependence theorems, linear systems, stability, singular points, and boundary value problems. Qualitative behavior of nonlinear equations, stability, Lyapunov functions, invariant manifolds, bifurcation theory, periodic orbits, and connecting orbits.

INTRODUCTION TO ERGODIC THEORY AND DYNAMICS

MATH 758

An introduction to ergodic theory and dynamics covering fundamental theorems of ergodic theory, classical examples of one and two dimensional dynamics as well as applications to study of group actions.