The aim of this paper was to demonstrate that it is possible to control the chaos into the Sherman system by linear feedback of own signals. After introducing of the parameter ‘α‘ in the z-equation (α → α + α1 x(t) + α2 y(t) + α3 z(t), we study how the global dynamics can be altered in a desired direction (αn are considered as free parameters). We make a detailed bifurcation investigation of the modified Sherman systems by varying the parameters αn. Finally, we calculate the maximal Lyapunov exponent, where the chaotic motion of modified Sherman system exists. and Obsahuje seznam literatury
A mathematical model of the roadway automobile motion is numerically analyzed. This model is intended to describe the roadway automobile stability. A previous paper [6] described the model in detail and the general method of qualitative analysis. In the present paper, we continue the discussion of stability by numerical simulations and the specific question we attempted to answer is: which parameter(s) of automobile geometry and quality of the roadway can serve as a reliable predictors) for car crash? Data from Daimler-Chrysler AG and Ford Motor Company Limited were used for that purpose, considering three car types - Mercedes-Benz E 320 (T-modelle), Ford Focus and Mercedes-Benz Sprinter (1). Hence, one can consider the present work as a natural continuation of [6]., Obsahuje seznam literatury, and Článek doplňuje Appendix na str. 294-295
In this paper, we have attempted to give a general framework (from bifurcation theory point of view) for understanding the structural stability and bifurcation behavior in following phase synchronized systems: (a) coupled Poincare systems; (b) controlled linear oscillator and (c) ‘predator-prey’ system, on the base of a specifíc version of bifurcational theory (based on the computing first Lyapunov value (not exponent)). Our results suggest that for these three systems soft stability loss take place. and Obsahuje seznam literatury