EC872 Nonlinear Dynamics, Chaos and Fractals

Course Name: 

EC872 Nonlinear Dynamics, Chaos and Fractals

Programme: 

M.Tech(SPML)

Category: 

Elective (Ele)

Credits (L-T-P): 

(4-0-0) 4

Content: 

Review of linear systems; discrete and continuous, difference and differential equation modeling and solution, dynamics of linear and nonlinear systems, maps and flows, phase-plane analysis, bifurcations, limit cycles, attractors, chaotic behavior, strange attractors, chaotic systems and their analysis, fractals, Mandlebrot and Julia sets, iterated function systems, fractal dimension, stable and unstable manifolds, multifractals, applications.

References: 

Steven H. Strogatz, Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering, Addison-Wesley, 1994.
MW Hirsch, S. Smale, RL Devaney, Differential equations, dynamical systems, and an introduction to chaos, Academic Press. 2012.
Drazin, P. G. Nonlinear systems. Cambridge, UK: Cambridge University Press, 1992.
Peitgen, H-O., H. Jurgens, and D. Saupe. Chaos and Fractals: New Frontiers of Science, Springer, 2004.
M. Barnsley, Fractals everywhere, Academic Press, 1993.

Department: 

Electronics and Communication Engineering(ECE)
 

Contact us

Dr. T. Laxminidhi,  Professor and Head, 
Department of E&C, NITK, Surathkal
P. O. Srinivasnagar,
Mangalore - 575 025 Karnataka, India.

Connect with us

We're on Social Networks. Follow us & get in touch.