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Original Articles

Construction of Chaotic dynamical system

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Pages 1-8 | Received 02 Sep 2009, Published online: 09 Jun 2011

References

  • Banks , J. , Brooks , J. , Cairns , G. , Davis , G. and Stacey , P. 1992 . On Devaney's definition of chaos . Amer. Math. Monthly, , 99 : 29 – 39 . Doi:10.2307/2324899
  • Bula , I. 2008 . Topological semi‐conjugacy and chaotic mappings . Proc. of the 6th EUROMECH Nonlinear Dynamics Conference, Saint Petersburg, Russia, 2008 . 2008 . Available from Internet: http://lib.physcon.ru/?item=1603
  • Bula , I. , Buls , J. and Rumbeniece , I. 2008 . Why can we detect the chaos? . Journal of Vibroengineering, , 10 (4) : 468 – 474 .
  • Devaney , R. 1986 . An introduction to chaotic dynamical systems. , Menlo Park, CA : Benjaminn Cummings .
  • Gulick , D. 1992 . Encounters with chaos. , Inc. : McGraw‐Hill .
  • Elaydi , S.N. 2008 . Discrete Chaos: with applications in science and engineering , Chapman&Hall/CRC (Taylor&Francis Group) .
  • Holmgren , R.A. 1996 . A first course in discrete dynamical systems. , Springer‐Verlag .
  • Kudrjavcev , L.D. 1988 . Kurs matematiceskogo analiza. , Vol. I , Moskva, Tom : Vissaja skola . (in Russian)
  • Li , T.Y. and Yorke , J.A. 1975 . Period three implies chaos . Amer. Math. Monthly, , 82 : 985 – 992 . Doi:10.2307/2318254
  • Lind , D. and Marcus , B. 1995 . An introduction to symbolic dynamics and coding. , Cambridge University Press .
  • May , R.M. 1976 . Simple mathematical models with very complicated dynamics . Nature, , 261 : 459 – 467 . Doi:10.1038/261459a0.
  • Peitgen , H.O. , Juergen , H. and Saupe , D. 1994 . CHAOS. Bausteine der Ordnung. , Klett‐Cotta=Springer‐Verlag . (in German)
  • Robinson , C. 1995 . Dynamical systems. Stability, symbolic dynamics, and chaos. , CRS Press .
  • Wiggins , S. 1988 . Global bifurcations and chaos. Analytical methods. , Springer‐Verlag .

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