Nonlinear systems based on chaos theory can model various aspects of the nonlinear dynamic phenomena occuring during speech production. In this paper, we explore modern methods and algorithms from chaotic systems theory for modeling speech signals in a multidimensional phase space and extracting characteristic invariant measures such as the generalized fractal dimensions. Such measures can capt...

Systems of coupled chaotic maps and flows arise in many situations of physical and biological interest. The aim of this paper is to analyze and to present numerical evidence for a common type of nonhyperbolic behavior in these systems: unstable dimension variability. We show that unstable periodic orbits embedded in the dynamical invariant set of such a system can typically have different numbe...

Any vital activities of the cell are based on the ribosomes, which not only provide the basic machinery for the synthesis of all proteins necessary for cell functioning during growth and division, but for biogenesis itself. From this point of view, ribosomes are self-replicating and autocatalytic structures. In current work we present an elementary model in which the autocatalytic synthesis of ...

The application of chaotic advection to polymer blends and composites originated in the corresponding author’s laboratory in 1991. Research has resulted in smart blending devices now being adopted by industry. In the accompanying talk, key concepts and recent results are described where polymer melt components are more controllably formed in situ into a wide variety of blend morphologies and wh...

Theoretical studies have shown that a deterministic biochemical oscillator can become chaotic when operating over a sufficiently large volume and have suggested that the Xenopus laevis cell cycle oscillator operates close to such a chaotic regime. To experimentally test this hypothesis, we decreased the speed of the post-fertilization calcium wave, which had been predicted to generate chaos. Ho...

In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...

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