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Indian Institute of Technology Delhi

Introductory Non-Linear Dynamics

Indian Institute of Technology Delhi and NPTEL via Swayam

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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

Taught by

Prof.Ramkrishna Ramaswamy

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