What is common between the motion of planets, mechanical vibrations, chemical oscillators, biological rhythms and love affairs? They can all be modelled as dynamical systems, and more often than not these systems are nonlinear. This course is an introduction to nonlinear dynamics. The style of the lectures will be friendly: we’ll cover geometric intuition and examples, rather than on rigorous proofs and abstract algebra.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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Course Credit: NPTEL
Course Curriculum
| Module: 01 | |||
| Introduction to nonlinear dynamics — Gaurav Raina | 00:03:00 | ||
| A brief introduction to modelling | 00:18:00 | ||
| Dynamics and Nonlinear systems: getting started | 00:16:00 | ||
| 1-Dimensional Flows, Flows on the Line, Lecture 1 | 00:17:00 | ||
| 1-Dimensional Flows, Flows on the Line, Lecture 2 | 00:16:00 | ||
| 1-Dimensional Flows, Flows on the Line, Lecture 3 | 00:14:00 | ||
| Module: 02 | |||
| 1-Dimensional Flows, Flows on the Line, Lecture 4 | 00:12:00 | ||
| 1-Dimensional Flows, Flows on the Line, Lecture 5 | 00:08:00 | ||
| 1-Dimensional Flows, Flows on the Line, Lecture 6 | 00:10:00 | ||
| 1-Dimensional Flows, Bifurcations, Lecture 1 | 00:07:00 | ||
| 1-Dimensional Flows, Bifurcations, Lecture 2 | 00:11:00 | ||
| 1-Dimensional Flows, Bifurcations, Lecture 3 | 00:08:00 | ||
| Module: 03 | |||
| 1-Dimensional Flows, Bifurcations, Lecture 4 | 00:14:00 | ||
| 1-Dimensional Flows, Bifurcations, Lecture 5 | 00:19:00 | ||
| 1-Dimensional Flows, Bifurcations, Lecture 6 | 00:11:00 | ||
| 1-Dimensional Flows, Flows on the Circle, Lecture 1 | 00:12:00 | ||
| 1-Dimensional Flows, Flows on the Circle, Lecture 2 | 00:19:00 | ||
| 2-Dimensional Flows, Linear Systems, Lecture 1 | 00:19:00 | ||
| Module: 04 | |||
| 2-Dimensional Flows, Linear Systems, Lecture 2 | 00:10:00 | ||
| 2-Dimensional Flows, Linear Systems, Lecture 3 | 00:27:00 | ||
| 2-Dimensional Flows, Linear Systems, Lecture 4 | 00:14:00 | ||
| 2-Dimensional Flows, Phase Plane, Lecture 1 | 00:12:00 | ||
| 2-Dimensional Flows, Phase Plane, Lecture 2 | 00:08:00 | ||
| 2-Dimensional Flows, Phase Plane, Lecture 3 | 00:19:00 | ||
| Module: 05 | |||
| 2-Dimensional Flows, Limit Cycles, Lecture 1 | 00:08:00 | ||
| 2-Dimensional Flows, Limit Cycles, Lecture 2 | 00:12:00 | ||
| 2-Dimensional Flows, Limit Cycles, Lecture 3 | 00:19:00 | ||
| 2-Dimensional Flows, Bifurcations, Lecture 1 | 00:22:00 | ||
| 2-Dimensional Flows, Bifurcations, Lecture 2 | 00:14:00 | ||
| 2-Dimensional Flows, Bifurcations, Lecture 3 | 00:19:00 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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