X

Introductory Non-Linear Dynamics

By Prof.Ramkrishna Ramaswamy   |   IIT Delhi
Learners enrolled: 536
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 Learners
PREREQUISITES: Basic mathematics
Summary
Course Status : Completed
Course Type : Elective
Duration : 4 weeks
Category :
  • Chemistry
Credit Points : 1
Level : Undergraduate
Start Date : 26 Aug 2019
End Date : 20 Sep 2019
Exam Date : 17 Nov 2019 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.


Page Visits



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

Books and references

1. S. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Westview Press, 2014. 
2. R. A. Holmgren, A First Course in Discrete Dynamical Systems, Springer, 1996
3. E. Ott, Chaos in Duynamical Systems, Cambridge, 2002.

Instructor bio



Prof.Ramkrishna Ramaswamy is currently Visiting Professor in the Department of Chemistry at IIT Delhi. He earlier taught in the School of Physical Sciences at the Jawaharlal Nehru University. His areas of research include chemical dynamics, nonlinear dynamics, and systems and computational biology.

Course certificate

  • The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
  • The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
  • Date and Time of Exams: 17th November 2019 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
  • Registration url: Announcements will be made when the registration form is open for registrations.
  • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
  • Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE
  • Average assignment score = 25% of average of best 3 assignments out of the total 4 assignments given in the course. 
  • Exam score = 75% of the proctored certification exam score out of 100
  • Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75
  • If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
  • Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.
  • Only the e-certificate will be made available. Hard copies are being discontinued from July 2019 semester and will not be dispatched


MHRD logo Swayam logo

DOWNLOAD APP

Goto google play store

FOLLOW US