This paper investigates the approach for revealing pathological speech signal based on estimating specific geometric structure of Lorenz attractor in a chaotic regime. Analysis of the Lorenz attractor on the basis of proposed nonlinear decomposition into matrix series is developed. This analysis permits to estimate the values of characteristic parameters (including control one) of Lorenz attrac...

The route to chaos as the pump power is raised in the Lorenz-like 15 N H 3 laser is studied using transients and compared with the route which is expected in the Lorenz Haken equations. The differences between the routes to chaos, as normally displayed by the experimental system and the Lorenz Haken equations, is described in terms of the bifurcations experienced in each system. It is also show...

This paper reports the finding of a simple one-parameter family of three-dimensional quadratic autonomous chaotic systems. By tuning the only parameter, this system can continuously generate a variety of cascading Lorenz-like attractors, which appears to be richer than the unified chaotic system that contains the Lorenz and the Chen systems as its two extremes. Although this new family of chaot...

We conducted an exploratory study of the detection of a sudden change of the field time series based on the numerical solution of the Lorenz system. First, the time when the Lorenz path jumped between the regions on the left and right of the equilibrium point of the Lorenz system was quantitatively marked and the sudden change time of the Lorenz system was obtained. Second, the numerical soluti...