Lecturer(s)


ŠTEFÁNKOVÁ Marta, doc. RNDr. Ph.D.

Course content

 nonlinear difference equations and discrete dynamical systems  fixed points of continuous function defined on an interval and their stability  cycles and their stability  bifurcation values of a parameter, Sharkovsky theorem  chaos origin, characterization of chaos  Feigenbaum constant  critical points of smooth maps  Hadamard lemma, inverse map theorem, Morse lemma  structural stability of smooth maps and systems of maps Thom theorem and examples of the cusp catastrophe

Learning activities and teaching methods

unspecified

Recommended literature


Arnoľd V. I. Teoria katastrof. Alfa Bratislava, 1986.

J. Smítal. O funkciách a funkcionálnych rovniciach.

R. Gilmore. Catastrophe theory for scientists and engineers. John Wiley and Sons, 1981.

T. Poston, I. Stewart. Catastrophe theory and its applications. Pitman London, 1978.

Y. Chen, A. Y. T. Leung. Bifurcation and chaos in engineering. Springer Verlag, 1998. ISBN 3540762426.
