EE60064: Chaos

EE60064
Course name	CHAOS
Offered by	Electrical Engineering
Credits	3
L-T-P	3-0-0
Previous Year Grade Distribution
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Semester	{{{semester}}}

Syllabus

Syllabus mentioned in ERP

Introduction. Modelling of dynamical system: Differential equations and difference equations; Stable, unstable and chaotic systems; Examples from electrical, mechanical and fluid-dynamic systems. Chaos in feedback systems. Types of attractions: Point, periodic, quasiperiodic and strange attractors. Pathways to chaos. Poincare section, FeigenbaumâÂÂs universality constants, Lyapunov exponents. The geometry of fractals; Chaotic dynamics on fractals; Hausdorff, correlation, information and Lyapunov dimensions. Characterization of attractors from experimental data. Basins of attraction and basin boundaries. Applications in engineering systems.