2008 JUL 14 - (VerticalNews.com) -- According to recent research published in the journal Applied Radiation and Isotopes, "Based on the Silnikov criterion, the chaotic properties of mechanically and electrically coupled nonlinear dynamical systems were discussed."

  "Using Cardano formula and series solution of differential equation, the eigenvalue problem and existence of homoclinic orbit were studied respectively. A rigorous proof of the existence of Silnikov-sense Smale horseshoe chaos was presented and some conditions leading to chaos were obtained," wrote E. Garciatorano and colleagues ...read more

  2008 JUL 14 - (VerticalNews.com) -- According to a study from Sao Paulo, Brazil, "We investigated the external electric field-induced transition of the spiral wave and turbulence in a class of time-varied reaction-diffusion systems. In our numerical simulation, a modified Fitzhugh-Nagumo model, which was used to describe the excitable and/or oscillatory media under appropriate parameters, was investigated."

  "The effect induced by the random and/or other uncertain factors (for example, external and interior noise, gas pressure, temperature gradient and deformation of media etc.) was considered. The amplitude of the fluctuations of parameters was selected at appropriate values so that stable rotating spiral wave, meandering spiral wave and turbulence could be observed respectively. The external electric field was introduced into the media after a transient period allowing for parameter fluctuations. It was found that only the breakup of spiral wave was observed and the whole media could not reach homogeneous state when weak electric field and parameter fluctuation were used. It was confirmed that the breakup of spiral wave happens and then the whole media becomes stably homogeneous when appropriately strong intensity of external electric field is applied to the whole media together with the action of parameter fluctuation," wrote M.S. Dias and colleagues ...read more

  2008 JUL 14 - (VerticalNews.com) -- According to recent research published in the journal Applied Radiation and Isotopes, "For nonlinear Duffing system, a derived synchronization system is built and the method is proved. By the synchronization, the faint difference in stimulating signal of Duffing system can be detected."

  "In simulation, when there occurs chaos in the original system, the responses of the original and derived system will exhibit synchronization for identical input signal and non-synchronization for different input signal. When the system is in quasi-periodic motion, the synchronization is still sensitive to the faint variation in the input signal," wrote S. Hurtado and colleagues, University of Seville ...read more