Open University

Open University

Non-Linear Ordinary Differential Equations (M821)

Relevant to scientists and engineers as well as mathematicians, this introduction to basic theory and simpler approximation schemes covers systems with two degrees of freedom. It introduces the geometric aspects of the two-dimensional phase space, the importance of fixed points and how they can be classified, and the notion of a limit cycle. You'll develop schemes to approximate the solutions of autonomous and non-autonomous equations to understand how these solutions behave. Periodically forced nonlinear oscillators and nonlinear oscillators with periodically time-varying parameters leading to parametric resonances are discussed, along with the stability of these solutions and tests for obtaining stability.

Course modules

Qualifications

Qualification Study mode Start month Fee Course duration
Credits from The Open University Distance learning October 2017 - 9 months

Campus details

Campus name Town Postcode Region Main campus Campus Partner
Distance Learning

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