Introductory Non-Linear Dynamics
Offered By: Indian Institute of Technology Delhi via Swayam
Course Description
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
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 systemsWeek 3: The Tent map and the Logistic map. Symbolic dynamics
Week 4 : Chaotic dynamics, Lyapunov exponents, invariant measures
Taught by
Prof.Ramkrishna Ramaswamy
Tags
Related Courses
Introduction to Dynamical Systems and ChaosSanta Fe Institute via Complexity Explorer Theoretical Mechanics
Indian Institute of Technology Guwahati via Swayam Topics in Nonlinear Dynamics
NPTEL via YouTube Hamiltonian Systems Introduction - Why Study Them?
Ross Dynamics Lab via YouTube Differential Equations, a Tourist's Guide
3Blue1Brown via YouTube