1,1,1

Lecture type	Total
Lectures	45

* Load is given in academic hour (1 academic hour = 45 minutes)

Fundamentals of stability theory and bifurcation. The Feigenbaum diagram. Universality principle, Schwarzian derivative. Periodic points, Sarkovski theorem. Sensitivity, the Ljapunov exponent. Fractals and fractal dimensions. Periodic points. Period 3 implies chaos. Chaotic one-hump iterators. Chaotic iterators on metric spaces. L- systems. Fluid convexity, the Lorenz model. Control of chaos.

1. Chaos. A mathematical introduction; J. Banks, V. Dragan, A. Jones; Cambridge University Press; 2003; ISBN: 0-521-53104-7/pbk
2. Chaos and Fractals. New Frontiers of Science; H.-O. Peitgen, H, Jurgens, D. Saupe; Springer; 1992; ISBN: 0-387-97903-4/hbk
3. Chaos, Fractals, and Dynamics; R. L. Devaney; Addison-Wesley; 1990; ISBN: 0-201-23288-X/pbk
4. Chaos for Engineers. Theory, Applications and Control; T. Kapitaniak; Springer; 2000; ISBN: 3-540-66574-9/pbk
5. Chaos. An introduction to dynamical systems; K. T. Alligood, T. D. Sauer, J. A. Yorke; Springer, New York; 1996; ISBN: 0-387-94677-2

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