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Nonlinear Dynamics and Chaos, Fall 2004

(Complete Item Description)

Abstract:: Nonlinear dynamics with applications. Intuitive approach with emphasis on geometric thinking, computational and analytical methods. Extensive use of demonstration software. Topics: Bifurcations. Phase plane. Nonlinear coupled oscillators in biology and physics. Perturbation, averaging theory. Parametric resonances, Floquet theory. Relaxation oscillations. Hysterises. Phase locking. Chaos: Lorenz model, iterated mappings, period doubling, renormalization. Fractals. Hamiltonian systems, area preserving maps; KAM theory.

Subject:: Mathematics and Statistics, Science and Technology
Grade Level:: Post-secondary
Collection:: MIT OpenCourseWare

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Top Keywords

Averaging Center Manifolds Chaos Elementary Bifurcations Floquet Theory Limit Cycles mathematics Mechanical Engineering Near-Equilibrium Dynamics Normal Forms Phase Plane Poincare-Bendixson Theory Poincare Maps Stability of Equilibria Time-Dependent Systems

Conditions of Use

No Strings Attached
Remix and Share
Share Only
Read the Fine Print

No restrictions on your remixing, redistributing, or making derivative works. Give credit to the author, as required.

Your remixing, redistributing, or making derivatives works comes with some restrictions, including how it is shared.

Your redistributing comes with some restrictions. Do not remix or make derivative works.

Copyrighted materials, available under Fair Use and the TEACH Act for US-based educators, or other custom arrangements. Go to the resource provider to see their individual restrictions.

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