Introductory Non-Linear Dynamics

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Free Online Course: Introductory Non-Linear Dynamics provided by Swayam is a comprehensive online course, which lasts for 4 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Introductory Non-Linear Dynamics is taught by Prof.Ramkrishna Ramaswamy.

Overview
  • This course is designed to introduce students to the basic ideas of dynamical systems, stability, and chaos, largely using iterative mappings as the model. The course will largely focus on qualitative ideas and will require students to explore dynamics through simulations (MATLAB will be adequate).


    INTENDED AUDIENCE: Any interested LearnersPREREQUISITES: Basic mathematics

Syllabus
  • COURSE LAYOUT

    Week 1: Introduction, Stability, Phase space and invariant sets.Week 2: Maps and flows. Simple examples of dynamical systems
    Week 3: The Tent map and the Logistic map. Symbolic dynamics
    Week 4 : Chaotic dynamics, Lyapunov exponents, invariant measures