The Nikolaevskiy equation was originally proposed as a model for seismic waves and is also a model for a wide variety of systems incorporating a neutral "Goldstone" mode, including electroconvection and reaction-diffusion systems. It is known to exhibit chaotic dynamics at the onset of pattern formation, at least when the dispersive terms in the equation are suppressed, as is commonly the practice in previous analyses. In this paper, the effects of reinstating the dispersive terms are examined.
View Article and Find Full Text PDFThe purpose of this project was to examine readiness to change (RTC) processes in a sample of substance dependent military service members who completed an intensive substance abuse treatment program. The patients completed the Stages of Change Readiness and Treatment Eagerness Scale (SOCRATES), which is an RTC assessment instrument, at intake and completion of the treatment program. It was predicted that patients would show positive changes in their RTC from intake to treatment completion.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
November 2006
We describe the evolution of a bistable chemical reaction in a closed two-dimensional chaotic laminar flow, from a localized initial disturbance. When the fluid mixing is sufficiently slow, the disturbance may spread and eventually occupy the entire fluid domain. By contrast, rapid mixing tends to dilute the initial state and so extinguish the disturbance.
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