We present a homotopy continuation method (HCM) for finding multiple operating points of nonlinear circuits composed of devices modelled by using piecewise linear (PWL) representations. We propose an adaptation of the modified spheres path tracking algorithm to trace the homotopy trajectories of PWL circuits. In order to assess the benefits of this proposal, four nonlinear circuits composed of piecewise linear modelled devices are analysed to determine their multiple operating points. The results show that HCM can find multiple solutions within a single homotopy trajectory. Furthermore, we take advantage of the fact that homotopy trajectories are PWL curves meant to replace the multidimensional interpolation and fine tuning stages of the path tracking algorithm with a simple and highly accurate procedure based on the parametric straight line equation.
Abstract:In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.
This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we show the effectiveness of the proposed method.
Cómo recuerdan los pacientes la comunicación del diagnóstico. A propósito de quince testimonios relacionados con enfermedades poco frecuentes How patients remember when they were given the diagnosis. About fifteen testimonies related to rare diseases s a m a n t h a r e q u e n a r o m e r o / j u a n m . a r c o s u r r u t i a / a n t o n i o m . b a ñ ó n h e r n á n d e z u n i v e r s i d a d d e a l m e r í a AbstrAct: Doctor-patient communication has led, in recent years, great interest among the health community. Communicating the diagnosis is one of the key moments for people suffering an illness. In this paper, we will analyze 15 testimonies of people and families affected by a rare disease. We will observe how they remember the moment when they were told the diagnosis, paying close attention to the discourse processes and techniques related to space (representing direction, itinerary and speed) and the use of other relevant discourse strategies (communication accommodation).Keywords: rare diseases, diagnosis, doctor-patient communication, discourse analysis.resumen: La comunicación médico-paciente ha suscitado, en los últimos años, gran interés entre la comunidad sanitaria. La comunicación del diagnóstico es uno de los momentos más importantes para las personas que sufren una enfermedad. En este trabajo vamos a analizar 15 testimonios de personas y familiares de afectados por una enfermedad rara o poco frecuente. Observaremos cómo recuerdan el momento en el que les comunicaron el diagnóstico, prestando máxima atención a los procesos y técnicas discursivas relacionadas con el espacio (representación de la dirección, del recorrido y de la velocidad), así como al empleo de otras técnicas discursivas (acomodación comunicativa).Palabras clave: enfermedades raras o poco frecuentes, diagnóstico, comunicación médico-paciente, análisis del discurso.
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