‎in the following text for arbitrary $x$ with at least two elements‎, ‎nonempty countable set $gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(x^gamma,sigma_varphi)$ where $varphi:gammatogamma$ is an arbitrary self-map‎. ‎we pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding devaney‎, ‎exact dev...

Characterization for nonpremixed biodiesel/air jet flames instability is investigated by the 0-1 test for chaos and recurrence plots. Test conditions involve biodiesel from Jatropha curcas. Lfueled flames have inlet oil pressure of 0.2–0.6MPa, fuel flow rates Q1 of 15–30 kg/h, and combustion air flow rate Q2 of 150–750m3/h. This method is based on image analysis and nonlinear dynamics. Structur...

Three chaotic indicators, namely the correlation dimension, the Lyapunov exponent, and the Kolmogorov entropy, are estimated for one-year long hourly average NO (nitrogen monoxide), CO (carbon monoxide), SO2 (sulfur dioxide), PM10 (particles with an aerodynamic diameter of approximately 10 m or less), and NO2 (nitrogen dioxide) concentration to examine the possible chaotic characteristics in th...

This paper presents an analysis/synthesis model for sound that is based on nonlinear dynamics, or chaos, theory. The inspiration is that since chaos and fractals can represent many complex naturally occurring forms, can the same be found for sound? Evidence is examined that shows how nonlinear dynamics plays a fundamental role in the generation of sounds, both musical and non-musical. Presented...

Wave chaos is a concept which has already proved its practical usefulness in design of double-clad fibers for cladding-pumped fiber lasers and fiber amplifiers. In general, classically chaotic geometries will favor strong pump absorption and we address the extent of chaotic wave dynamics in typical air-clad geometries. While air-clad structures supporting sup-wavelength convex air-glass interfa...

Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...

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