Nuestro trabajo plantea los aspectos que consideramos medulares de la Encíclica, en especial la unidad economía-sociedad-ecología, tomando como idea central la noción de “conversión ecológica” y, a partir de ésta, los límites de crecimiento de una civilización basada fundamentalmente en petróleo. Esto se debe a que los niveles de consumo encontrarán rápidamente la barrera de la propia naturaleza, pues la humanidad habrá consumido la mayor parte de los combustibles fósiles, a fines del siglo XXI. Se trata, en definitiva, del agotamiento de un ideal de ciencia y de progreso que no ha podido sostener las promesas del modelo ilustrado que las generó. En este contexto, presentamos las catástrofes ecológicas ocasionadas por derrames de petróleo en el último decenio y los aspectos positivos y negativos de los últimos procedimientos en extracción de petróleo; a pesar de estos esfuerzos y de la integración de energías renovables, la ecología en clave cristiana requiere de una renovación interior que lleve a una conciencia más plena del hombre como colaborar y custodio de la creación.

The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; It is necessary to mention that the solution of the aforementioned system is relatively difficult to obtain through iterative methods since the system is apparently unstable. To find this possible solution is used a novel numerical method valid for one and several variables, which using the fractional derivative, allows us to find solutions for some nonlinear systems in the complex space using real initial conditions, this method is also valid for linear systems. The method described above has an order of convergence (at least) linear, but it is easy to implement and it is not necessary to invert some matrix for solving nonlinear systems and linear systems.

For mobile manipulators, tipping-over is one of the most important problems when operating on uneven terrain or manipulating heavy objects. The estimation and evaluation of dynamic stability with an easy-computed measure helps to generate actions to avoid tipping-over. This is particularly important in autonomous systems and in human remotely operated manipulators. Therefore, this research presents a tip-over stability analysis applied to a hybrid mobile manipulator that consists of a mobile platform, a Stewart parallel platform and a serial arm manipulator of three degrees of freedom. This paper evaluates the Mean Normal Ground Reaction (MNGR) criterion for a hybrid mobile manipulator comprising a mobile base, a Stewart parallel platform and a 3-DOF serial arm. The MNGR criterion exhibits low computational complexity while remaining sensitive to top-heaviness. Through simulations and experimental tests, this study demonstrates that dynamically reconfiguring the Stewart platform significantly improves the overall dynamic tip-over stability.