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**

Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of the assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certificate at a cost of £49.

Having an Official Edukite Certification is a great way to celebrate and share your success. You can:

- Add the certificate to your CV or resume and brighten up your career
- Show it to prove your success

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 |

### Course Reviews

No Reviews found for this course.

**676 STUDENTS ENROLLED**