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INTRODUCTION TO MATHEMATICAL CHAOS THEORY FOR ENGINEERS
Code: 34561
ECTS: 4
Lecturers in charge: prof. dr. sc. Mervan Pašić
Take exam: Studomat
English level:

1,1,1

All teaching activities in the course will be held on English. This level includes courses with multiple groups (i.e., all teaching will be held strictly in Croatian for Croatian groups, and strictly in English for English groups).
Load:
Lecture typeTotal
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
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.
Literature:
  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
1. semester
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Computer Engineering
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Computer Science
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Control Engineering and Automation
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Electrical Engineering Systems and Technologies
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Electrical Power Engineering
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Electronic and Computer Engineering
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Electronics
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Information Processing
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Software Engineering and Information Systems
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Telecommunication and Informatics
Predmeti matematike, fizike i prirodoslovlja - Mandatory profile - Wireless Technologies
Consultations schedule:
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