Course12710601347 lectures
Nonlinear Dynamics and Chaos
Prof. Mahesh Panchagnula · IIT Madras
About
This is intended to be an introductory course on nonlinear dynamics to enable students to understand, appreciate and analyze the behavior of nonlinear dynamical and chaotic systems in science and engineering. The course will discuss the exciting world of nonlinear differential equations and their relationship to the physical world. A basic introduction to the onset of chaos will also be presented.Modern numerical and analytical techniques used for analysis will be introduced.
Intended audience: Applied Mechanics, Mechanical Engineering, Chemical Engineering, Civil Engineering, Aerospace Engineering, Atmospheric and Ocean Engineering, Physics
Prerequisites: An introductory course in Ordinary Differential Equations
Lectures
Week 1
Week 2
Week 3
- Flows On The Circle: Part 1
- Flows On The Circle: Part 2
- 2D Flows - Linear Systems: Part 1
- 2D Flows - Linear Systems: Part 2
Week 4
Week 5
Week 6
- Bifurcations Revisited: Part 2
- Bifurcations Revisited: Part 3
- Bifurcations Revisited: Part 4
- Introduction To Chaos: Part 1
Week 7
- Introduction To Chaos: Part 2
- Introduction To Chaos: Part 3
- Introduction To Chaos: Part 4
- One-Dimensional Maps: Part 1
Week 8
- One-Dimensional Maps: Part 2
- One-Dimensional Maps: Part 3
- One-Dimensional Maps: Part 4
- Fractals: Part 1
Week 9
Week 10
- Manifold Theory: Part 1
- Manifold Theory: Part 2
- Differential Algebraic Equations: Part 1
- Differential Algebraic Equations: Part 2
Week 11
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Multidisciplinary
- Teacher
- Prof. Mahesh Panchagnula
- Level
- Graduate
- Language
- English
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Teens profiles and older, judged from what the source says about it. How courses are placed