In this paper we study numerically a general mechanism of realizing solitary state modes by analyzing the dynamics of one-dimensional ensembles of nonlocally coupled Henon and Lozi maps. It is shown that the main reason of appearing the solitary state regimes consists in the emergence of bistability in individual oscillators of the ensemble. The bistability can arise due to the nonlocal coupling between the ensemble elements, which plays the role of an external force. The numerical findings are illustrated by the construction of basins of attraction of the emerging attractors and their phase portraits in the bistability regime of ensemble elements.
Application of noninvasive optical coherent-domain methods and advanced data processing tools such as the wavelet-based multifractal formalism allows revealing effective markers of early stages of functional distortions in the dynamics of cerebral vessels. Based on experiments performed in rats we discuss a possibility to diagnose a hidden stage of the development of intracranial hemorrhage (ICH). We also consider responses of the cerebrovascular dynamics to a pharmacologically induced increase in the peripheral blood pressure. We report distinctions occurring at the levels of macro- and microcerebral circulation.
In this paper we address the problem of revealing and recognition transitions between distinct physiological states using quite short fragments of experimental recordings. With the wavelet-based multifractal analysis we characterize changes of complexity and correlation properties in the stress-induced dynamics of arterial blood pressure in rats. We propose an approach for association revealed changes with distinct physiological regulatory mechanisms and for quantifying the influence of each mechanism.