Introduction To Dynamical Systems
King's College London
Area of Study
Taught In English
Course Level Recommendations
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Recommended U.S. Semester Credits4
Recommended U.S. Quarter Units6
Hours & Credits
OverviewIntroduction To Dynamical SystemsModule code: 4CCM131ASemester: Semester 2 (spring)Module description:Aims and objectives:The course aims to introduce you to the analysis of simple dynamical systems described in terms of first or second order differential equations, emphasising concepts such as phase flow, fixed points, and stability of fixed points. The ideas introduced have applications in biology and economics, as well as in Newtonian mechanics. Newtonian mechanics is taught with emphasis on motion in one spatial dimension, and in that case furnishes examples of so-called second order dynamical systems. Elements of the Hamiltonian approach to Newtonian mechanics are also introduced.Pre-requisites: 4CCM111A Calculus I and 4CCM113A Linear MethodsSyllabus:Differential equations; first-order dynamical systems, autonomous systems, phase flow and fixed points; second-order dynamical systems, phase flow, classification of fixed points; kinematics of particle motion, Newton's laws; conservation of energy, conservative forces, motion on a straight line; Hamiltonian systems; elements of Hamiltonian mechanics.Books:http://myreadinglists.kcl.ac.uk/search.html?q=ccm131Credit level: 4Credit value: 15Assessment: written examination/s; coursework;
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