Title: Introductory Non-Linear Dynamics
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Introductory Non-Linear Dynamics

Indian Institute of Technology Delhi , NPTEL via Swayam

Description

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

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Introductory Non-Linear Dynamics

Indian Institute of Technology Delhi , NPTEL
Start Learning Find study group
Affiliate notice

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

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

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