Physiological signals often are highly non-stationary (i.e., mean and variance change with time) and multiscaled (i.e., dependent on the spatial or temporal interval lengths). They may exhibit different behaviors, such as non-linearity, sensitive dependence on small disturbances, long memory, and extreme variations. Such data have been accumulating in all areas of health sciences and rapid anal...

A study of the various routes to chaos in dynamical systems reveals that significant computation occurs at the onset of chaos. At first blush this is not surprising since statistical mechanics views these as phase transitions with infinite temporal correlations. In computational terms processes that are in a critical state, like those at the onset of chaos considered here, have an infinite memo...

We study the effect of atomic interaction on localization and associated dynamics Bose-Einstein condensates in a one-dimensional quasiperiodic optical lattice random disordered potentials. When interactions are absent, exhibit localization, which weakens as we increase strength beyond threshold value for both potential types. inspect localized delocalized states by perturbing system via quenchi...

Results from chaos and recurrence analyses of pressure signals bubbling fluidized beds are presented in this study. The experiments were performed cylindrical columns having internal diameters 2.5 inches, 4 inches 6 while operating conditions, material properties static bed height held constant. Superficial velocity air at the inlet was varied 2.97 to 5.35 times minimum fluidization each column...

Since Li and Yorke first gave the definition of chaos by using strict mathematical language in 1975 [1], the research on chaos has greatly influenced modern science, not just natural sciences but also several social sciences, such as economics, sociology, and philosophy. The theory of chaos convinced scientists that a simple definite system can produce complicated features and a complex system ...