Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Indian Institute of Technology Delhi

Chaotic Dynamical Systems

Indian Institute of Technology Delhi and NPTEL via Swayam

This course may be unavailable.

Overview

Prepare for a new career with $100 off Coursera Plus
Gear up for jobs in high-demand fields: data analytics, digital marketing, and more.

The aim of this course is to provide insight into elementary topics and current studies in the theory of chaotic dynamical systems. The focus will be on providing the students with basics in the area and introduce them to the fundamentals in this field. This course discusses the various definitions of Mathematical Chaos in elementary analytical way.

Syllabus

Week 1 : Analysis of the dynamics
Week 2 : Dynamics of one-dimensional maps of both the interval and the circle
Week 3 : Recurrence and minimality
Week 4 : Elementary bifurcations
Week 5 : Sarkovski’s theorem
Week 6 : Li Yorke chaos and Scrambled sets
Week 7 : ATransitivity and Devaney Chaos
Week 8 : Stronger forms of Transitivity
Week 9 : Symbolic Dynamics
Week 10 : Topological Entropy
Week 11 : Higher Dimensional Dynamics
Week 12 : Toral Automorphisms and Henon Map

Taught by

Anima Nagar

Tags

Reviews

Start your review of Chaotic Dynamical Systems

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.