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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

Tags
Economics

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

Introductory Non-Linear Dynamics

Indian Institute of Technology Delhi , NPTEL
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Affiliate notice

  • Type
    Online Courses
  • Provider
    Swayam

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

Tags

Economics

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