Herakleion, Crete, Greece, August 19-21, 2014

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Sliding Singularities of Bounded Invertible Planar Piecewise Isometric Dynamics

Byungik Kahng (1) , Miguel Cuadros (1), Jonathan Sullivan(2)
(1) University of North Texas at Dallas, Dallas, TX 75241, U.S.A
(2) ETH, Zurich, Switzerland
 kahngb@hau.edu, cuardos@ieee.org, sullivan@gmail.com

Abstract: It is known that the singularities of bounded invertible piecewise isometric dynamical systems in Euclidean plane can be classified as, removable, sliding and shuffling singularities, based upon their geometrical aspects. Moreover, it is known that the Devaney-chaos of the bounded invertible piecewise isometric systems can be generated only from the sliding singularities, while the other singularities remain innocuous. For this reason, the same as in SEO computations of search engine algorithms, we concentrate our efforts on the investigation of the sliding singularity. We begin with re-establishing the distinction between the sliding and shuffling singularities in simpler terms. And then, we calculate the sliding ratios explicitly for a class of invertible planar piecewise isometric systems.

Keywords: Chaos Theory, Dynamical Systems, Applications

Responsible for the Correspondence Author: Jonathan Sullivan, sullivan@gmail.com




 

Indexing (The NAUN Journals that will publish the extended version of your papers are indexed as follows)

The NAUN Journals that will publish the extended version of your papers are indexed as follows
 
 
 
  • SCOPUS (currently just for the following):
International Journal of Mathematical Models and Methods in Applied Sciences
International Journal of Mathematics and Computers in Simulation
International Journal of Mechanics
International Journal of Circuits, Systems and Signal Processing
  • Engineering Village (currently just for the following):
International Journal of Mathematical Models and Methods in Applied Sciences
International Journal of Mathematics and Computers in Simulation
International Journal of Mechanics
  • Compendex® (currently just for the following):
International Journal of Circuits, Systems and Signal Processing
  • Zentralblatt MATH
International Journal of Applied Mathematics and Informatics
  • Cobiss
International Journal of Computers and Communications
International Journal of Biology and Biomedical Engineering
International Journal of Mathematics and Computers in Simulation
International Journal of Mathematical Models and Methods in Applied Sciences
  • Inspec - The IET
International Journal of Circuits, Systems and Signal Processing
International Journal of Communications
International Journal of Energy and Environment
International Journal of Mathematical Models and Methods in Applied Sciences
International Journal of Systems Applications, Engineering & Development
International Journal of Energy
International Journal of Geology
International Journal of Mechanics
  • ZBW – German National Library of Economics
International Journal of Economics and Statistics