Unit name | Advanced Nonlinear Dynamics and Chaos |
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Unit code | EMATM0001 |
Credit points | 10 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
Unit director | Professor. Champneys |
Open unit status | Not open |
Units you must take before you take this one (pre-requisite units) |
EMAT33100 Nonlinear Dynamics & Chaos |
Units you must take alongside this one (co-requisite units) |
None |
Units you may not take alongside this one | |
School/department | School of Engineering Mathematics and Technology |
Faculty | Faculty of Engineering |
Students will be introduced to more advanced methods in nonlinear dynamics and shown further applications of this work to real systems. They will be taken to the frontiers of the subject, ready to deal with some of its most challenging problems. Material covered in this course will be selected from abstract definition of dynamical system, structural stability and topological definition of bifurcation, centre manifolds, normal forms, analysis of codimension-one and two bifurcations, periodic orbits and Poincare maps, quasi-periodic motion, resonance and parametric resonance, circle maps, KAM theory & Arnold tongues, synchronisation of oscillators, Smale horseshoes, symbolic dynamics, homoclinic bifurcations, 'Shilnikov-type' bifurcations, principles of numerical path-following method and bifurcation analysis, non-smooth bifurcations in piecewise continuous systems, fractals, Lyapunov exponents and chaotic attractors.
Aims:
Teaching will be delivered through a combination of synchronous and asynchronous sessions, including lectures, supported by live online sessions, problem sheets and self-directed exercises.
1 Summative Assessment, 100% - Summer Exam. This will assess all ILOs.
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How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours
of study to complete. Your total learning time is made up of contact time, directed learning tasks,
independent learning and assessment activity.
See the Faculty workload statement relating to this unit for more information.
Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit.
The Board considers each student's outcomes across all the units which contribute to each year's programme of study. If you have self-certificated your absence from an
assessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period).
The Board of Examiners will take into account any extenuating circumstances and operates
within the Regulations and Code of Practice for Taught Programmes.