Introduction to Dynamical Systems - MAT00011H

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  • Department: Mathematics
  • Module co-ordinator: Dr. Ian McIntosh
  • Credit value: 10 credits
  • Credit level: H
  • Academic year of delivery: 2017-18

Module will run

Occurrence Teaching cycle
A Autumn Term 2017-18

Module aims

Dynamical systems describe the time evolution of systems which arise from physics, biology, chemsitry and other areas. As mathematical objects they are ordinary differential equations, usually nonlinear and therefore not usually able to be explicitly solved. The aim of the course is to see how to make a qualitative analysis of a dynamical system using many different analytic tools. By the end of the course students should be able to analyse planar systems to understand their global dynamics and how these might change as parameters of the system are varied

Module learning outcomes

At the end of the module you should be able to...

To understand the difference between linear and nonlinear systems, and the concept of local linearisation.

To appreciate the difference between qualitative and quantitative analysis of dynamical systems.

To be able to apply a range of qualitative techniques to the study of planar dynamical systems.

To understand some possibilities of changes in dynamics in families of planar systems.

Assessment

Task Length % of module mark
University - closed examination
Introduction to Dynamical Systems
2 hours 100

Special assessment rules

None

Reassessment

Task Length % of module mark
University - closed examination
Introduction to Dynamical Systems
2 hours 100

Module feedback

Information currently unavailable

Indicative reading

S H Strogatz, Nonlinear Dynamics and Chaos. Westview Press (Perseus), 1994 (York Library Code S7.38 STR).

D K Arrowsmith and C M Place, An introduction to dynamical systems, Cambridge University Press, 1990. (S 7.38 ARR)



The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.