Unit 1
Introduction to dynamical systems and chaos – deterministic versus stochastic systems – state space – phase space – fixed points and its stability- chaos- Lyapunov exponent – maps – logistic map -Henon map.
| Course Name | Non-linear Dynamics and Chaos |
| Course Code | 19CCE339 |
| Program | B. Tech. in Computer and Communication Engineering |
| Year Taught | 2019 |
Introduction to dynamical systems and chaos – deterministic versus stochastic systems – state space – phase space – fixed points and its stability- chaos- Lyapunov exponent – maps – logistic map -Henon map.
Flows –harmonic oscillator – butterfly effect – Lorenz attractor- Rossler attractor – introduction to fractals – dimensionsionality of fractals – quantifying chaos using fractals.
Time series properties – chaos in biological signals – conventional linear methods limitation – alternate methods –time-delay embedding, entropy- complexity measures.
Evaluation Pattern
| Assessment | Internal | External |
| Periodical 1 (P1) | 15 | – |
| Periodical 2 (P2) | 15 | – |
| *Continuous Assessment (CA) | 20 | – |
| End Semester | – | 50 |
| *CA – Can be Quizzes, Assignment, Projects, and Reports. | ||
Objectives
Course Outcomes
CO – PO Mapping
| PO/PSO/CO | PO1 | PO2 | PO3 | PO4 | PO5 | PO6 | PO7 | PO8 | PO9 | PO10 | PO11 | PO12 | PSO1 | PSO2 |
| CO1 | 3 | – | – | – | – | – | – | – | – | – | – | 2 | 1 | – |
| CO2 | – | 2 | 2 | – | 3 | – | – | – | – | – | – | 2 | 3 | – |
| CO3 | – | 3 | 3 | – | 3 | – | – | – | – | – | – | 2 | 2 | – |
| CO4 | – | – | – | 3 | 3 | – | – | – | – | – | – | 2 | 3 | – |
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