• DocumentCode
    226517
  • Title

    Iterated maps with exponential slopes for nonlinear dynamics generation

  • Author

    Teodorescu, Horia-Nicolai L.

  • Author_Institution
    Inst. of Comput. Sci., Iasi, Romania
  • fYear
    2014
  • fDate
    9-10 Sept. 2014
  • Firstpage
    293
  • Lastpage
    296
  • Abstract
    The purpose of this paper is to analyze the theoretical feasibility of several classes of iterated maps with specified, desired properties, to help design the feasible ones, and further investigate some of their properties. As the main theoretical result, we establish some feasibility conditions for iterated maps suitable for the implementation on microsystems. The topic intimately relates to exponential Diophantine equations, namely to the new type represented by equation, with variables tk and xk.
  • Keywords
    iterative methods; nonlinear dynamical systems; exponential Diophantine equations; exponential slopes; iterated maps; microsystems; nonlinear dynamics generation; Chaos; Nonlinear dynamical systems; Patents; Polynomials; Time series analysis; Diophantine equation; finite field; iterated map; microsystem; nonlinear dynamics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Applied Electronics (AE), 2014 International Conference on
  • Conference_Location
    Pilsen
  • ISSN
    1803-7232
  • Print_ISBN
    978-8-0261-0276-2
  • Type

    conf

  • DOI
    10.1109/AE.2014.7011723
  • Filename
    7011723