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Course Detail

Course Name Non-linear Dynamics and Chaos
Course Code 19CCE339
Program B. Tech. in Computer and Communication Engineering
Year Taught 2019

Syllabus

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.

Unit 2

Flows –harmonic oscillator – butterfly effect – Lorenz attractor- Rossler attractor – introduction to fractals – dimensionsionality of fractals – quantifying chaos using fractals.

Unit 3

Time series properties – chaos in biological signals – conventional linear methods limitation – alternate methods –time-delay embedding, entropy- complexity measures.

Textbook

  • Alligood KT, Sauer TD and Yorke JA, “Chaos”, First Edition, Springer New York; 1996
  • Strogatz SH, “Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering”, First Edition, CRC Press, 2001.

Reference

  • Sprott JC, “Chaos and time-series analysis”, First Edition, Oxford University Press; 2003.
  • Ditto, William L. “Applications of chaos in biology and medicine”, AIP Conference Proceedings. Vol. 376. No. 1. AIP, 1996.

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 and Outcomes

Objectives

  • To understand dynamical systems using maps and flows
  • To familiarize with methods for detection and quantification of chaos in time series data
  • To comprehend the need and use of nonlinear analysis for chaotic signals

Course Outcomes

  • CO1: Demonstrate the ability to understand the concepts underlying dynamical systems
  • CO2: Analyze and model dynamical systems using computational methods
  • CO3: Critically evaluate the requirements for analyzing chaotic signals
  • CO4: Apply non-linear methods to characterize biological data

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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