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.
|Qualification||Study mode||Start month||Fee||Course duration|
|Credits from The Open University||Distance learning||October 2017||-||9 months|
|Campus name||Town||Postcode||Region||Main campus||Campus||Partner|
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