Advanced search
Publication Cover
Journal of Difference Equations and Applications Volume 9, 2003 - Issue 3-4
Submit an article Journal homepage
40
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Dynamical Systems Induced by Continuous Time Difference Equations and Long-time Behavior of Solutions

Elena Yu. Romanenko Institute of Mathematics, National Academy of Science of Ukraine, Kiev, 01601, Ukraine
Pages 263-280 | Published online: 17 Sep 2010

  • Sharkovsky , A. N. , Maistrenko , Yu. L. and Yu , E. 1993 . Romanenko, Difference Equations and Their Applications Ser. Mathematics and Its Applications , Vol. 250 , 358 Dordrecht : Kluwer Academic Publishers .
  • Romanenko , E. Yu. and Sharkovsky , A. N. 1996 . From one-dimensional to infinite-dimensional dynamical systems: ideal turbulence . Ukr. Math. J. , 48 (12) : 1817 – 1842 .
  • Romanenko , E. 1998 . On attractors of continuous difference equations . Comput. Math. Appl. , 36 (10-12) : 377 – 390 .
  • Romanenko , E. Yu. and Sharkovsky , A. N. 1999 . From boundary value problems to difference equations: a method of investigation of chaotic vibrations . Intern. J. Bifurcation Chaos , 9 (7) : 1285 – 1306 .
  • Romanenko , E. Yu. and Sharkovsky , A. N. Difference equations and dynamical systems generated certain classes of boundary-value problems (Russian) , Moscow : Proceedings of Steklov Mathematical Institute . to appear
  • Kuratowski , K. 1966 . Topology , Vol. 1 , New York : Academic Press .
  • Sharkovsky , A. N. 1965 . On attracting and attracted sets (Russian) . Dokl. Akad. Nauk SSSR , 160 : 1036 – 1038 .
  • Sharkovsky , A. N. and Yu , E. 1992 . Romanenko, Ideal turbulence: attractors of deterministic systems may lie in the space of random fields . Intern. J. Bifurcation Chaos , 2 : 31 – 36 .
  • Romanenko , E. Yu. 1995 . On chaos in continuous difference equations, Dynamical Systems and Applications World Scientific Ser. in Applicable Analysis , Vol. 4 , 617 – 630 . Singapore : World Scientific .
  • Fedorenko , V. V. 2002 . The topological limit of trajectories of intervals for the simplest one-dimensional dynamical systems (Russian) . Ukr. Math. J. , 54 : 425 – 430 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.