MMP538 Nonlinear Dynamics and Chaos

Code MMP538
Name Nonlinear Dynamics and Chaos
Status Compulsory/Courses of Limited Choice
Level and type Post-graduate Studies, Academic
Field of study Mechanics, Mechanical Engineering, Machine Building
Academic staff Mihails Zakrževskis
Credit points 4.0 (6.0 ECTS)
Parts 1
Annotation Nonlinear dynamics and chaos is a new multidisciplinary fundamental science for engineers, which has a major theoretical and empirical importance. The basics of nonlinear Dynamics and Chaos: attractors; bifurcations, basins of attraction; solution continuation, chaos and control. Analytical, numerical and experimental research methods. The method of complete bifurcation groups. Rare regular and chaotic phenomena. Multiplicity. Modern software: NLO, Spring, AUTO, Dynamics, Matcont. Applications: technical catastrophes prediction and prevention, control tasks, vibromechanics, electromechanics, cosmology, ecology, medicine..
Goals and objectives
of the course in terms
of competences and skills
The goal of the course is to help students to acquire skills required to analyze nonlinear dynamical systems of different nature applying modern methods. The objective of the course is to help students to acquire competence to analyze the behavior of typical nonlinear dynamical systems and apply this knowledge to other courses
Learning outcomes
and assessment
Ability to carry out research of nonlinear dynamical systems using analytical/numerical and experimental methods - Individual and group (2-3) mini-projects
Knowledge of modern research methods for nonlinear dynamical systems - Exam
Knowledge of general regularity in nonlinear dynamical systems - Exam
Course prerequisites Mathematics. Physics. Mechanics. Computer science

[Extended course information PDF]