MMP215 Nonlinear Dynamics. Introduction

Code MMP215
Name Nonlinear Dynamics. Introduction
Status Courses of Free Choice
Level and type Undergraduate Studies, Academic
Field of study Mechanics, Mechanical Engineering, Machine Building
Faculty
Academic staff Mihails Zakrževskis, Vladislavs Jevstigņejevs, Raisa Smirnova, Igors Ščukins, Aleksejs Klokovs, Eduards Šilvāns
Credit points 2.0 (3.0 ECTS)
Parts 1
Annotation Nonlinear dynamics and chaos theory constitute a new multidisciplinary fundamental science for engineers, i.e., it has of a theoretical and practical significance. Nonlinear Dynamics and Chaos ABC: 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 provide students with skills to analyze nonlinear dynamical systems of different nature with modern methods. The objective of the course is to help students to acquire the competence required 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 the method of complete bifurcation groups - Individual and group (2-3) mini-projects
Knowledge of modern research methods for nonlinear dynamical systems - Test
Knowledge of general regularity in nonlinear dynamical systems - Test
Course prerequisites Mathematics. Physics. Mechanics. Computer science

[Extended course information PDF]