Mathematics

Study results from M.S. Tavazoei and colleagues update understanding of nonlinear research

  2008 NOV 17 - (VerticalNews.com) -- According to recent research from Iran, "This paper introduces a fractional order system which can generate regular oscillations or create chaos. It shows that this system is capable to create regular or nonregular oscillations under suitable conditions."

  "These necessary conditions are achieved by violation of the no-chaos criteria. The effective dimension of the proposed system can be chosen any order less than three. Therefore, this system is a good example for limit cycle or chaos generation via fractional-order systems with low orders," wrote M.S. Tavazoei and colleagues.

  The researchers concluded: "Numerical simulations illustrate behavior of the proposed system in different situations."

  Tavazoei and colleagues published their study in Nonlinear Dynamics (Regular oscillations or chaos in a fractional order system with any effective dimension. Nonlinear Dynamics, 2008;54(3):213-222).

  For additional information, contact M. Haeri, Sharif University Technology, Advanced Control Systems Laboratory, Dept. of Electrical Engineering, Tehran, Iran.

  Publisher contact information for the journal Nonlinear Dynamics is: Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands.

  Keywords: Nonlinear Research.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.