Compositional evolution with mass transfer in closed systems

Evolution of compositions in time, space, temperature or other covariates is frequent in practice. For instance, the radioactive decomposition of a sample changes its composition with time. Some of the involved isotopes decompose into other isotopes of the sample, thus producing a transfer of mass from some components to other ones, but preserving the total mass present in the system. This evolution is traditionally modelled as a system of ordinary di erential equations of the mass of each component. However, this kind of evolution can be decomposed into a compositional change, expressed in terms of simplicial derivatives, and a mass evolution (constant in this example). A rst result is that the simplicial system of di erential equations is non-linear, despite of some subcompositions behaving linearly. The goal is to study the characteristics of such simplicial systems of di erential equa- tions such as linearity and stability. This is performed extracting the compositional dif ferential equations from the mass equations. Then, simplicial derivatives are expressed in coordinates of the simplex, thus reducing the problem to the standard theory of systems of di erential equations, including stability. The characterisation of stability of these non-linear systems relays on the linearisation of the system of di erential equations at the stationary point, if any. The eigenvelues of the linearised matrix and the associated behaviour of the orbits are the main tools. For a three component system, these orbits can be plotted both in coordinates of the simplex or in a ternary diagram. A characterisation of processes with transfer of mass in closed systems in terms of stability is thus concluded. Two examples are presented for illustration, one of them is a radioactive decay

Sonic Labyrinths

A web page describing how the music was composed, including a diagram of the labyrinth that forms its basis.

MA230exam00

Exam questions and solutions in LaTex

MA230exam00pdf

Exam questions and solutions in PDF

“La simulación al servicio de la academia - reflexiones y aplicaciones de la dinámica de sistemas en Colombia 2011” memorias del 9° Encuentro Colombiano de Dinámica de Sistemas

“La simulación al servicio de la academia - Reflexiones y aplicaciones de la Dinámica de Sistemas en Colombia 2011”, son las memorias del noveno encuentro colombiano de Dinámica de Sistemas celebrado en la Universidad del Rosario los días 14, 15 y 16 de septiembre de 2011, en el cual participaron ponentes de universidades nacionales e internacionales y se contó con la presencia de expertos en el tema quienes acompañaron y lideraron el desarrollo de las exposiciones durante los tres días. Diego Cardona Eng MSc PhD, organizador del evento, recoge la producción de sus participantes y acá se presenta la compilación de los documentos presentados.

Dirección basada en pensamiento sistémico-caso de estudio Hospital-Engativá – proceso cartera gestión de cobro y recaudo

El pensamiento sistémico es una manera de interpretar y comprender los fenómenos, que difiere de la forma convencional denominada reduccionista en la que no se realiza la comprensión a través de la descomposición de las partes, sino que se realiza haciendo énfasis en la comprensión del sistema como un todo y en las interrelaciones que se desprenden del sistema; por tanto la interpretación no se da a partir de un análisis de causa efecto, sino una comprensión del sistema dentro del contexto de un todo superior. Esta investigación se realiza aplicando el pensamiento sistémico en un caso práctico de una organización como es el Hospital Engativá, se hace la interpretación de la organización desde el punto de vista sistémico, realizando un diagrama causal que permite leer la organización desde este punto de vista. Se desarrolló el modelo en una herramienta para dinámica de sistemas y se limita el diseño y la simulación al Proceso de Cartera – Gestión Cobro y Recaudo, realizando una lectura e interpretación de los resultados y hallazgos arrojados por el modelo. Por último se concluye que es factible dirigir una organización desde el pensamiento sistémico y que mejora la toma de decisiones.

Data collection and analysis

A presentation on the collection and analysis of data taken from SOES 6018. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Writing an academic literature review

A presentation on how to write an academic literature review for SOES 6018. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Review of key physical processes in shallow waters

A presentation for 2 Units in SOES 6018 and SOES 6060, on physical processes in shallow water. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Preparing poster presentations

A presentation on how to prepare poster presentations for SOES 6018. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Writing a research proposal

A presentation for 2 Units in SOES 6018 and SOES 6060, on how to write a successful research proposal. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Planning and presenting research seminars

A presentation on planning and presenting research seminars for SOES 6018. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Introduction to estuaries and Southampton Water

A resource which answers the question "Why bother to study estuaries?" for SOES 6018. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Research papers

A presentation on writing research papers for SOES 6018. This module aims to ensure that MSc Oceanography, MSc Marine Science, Policy & Law and MSc Marine Resource Management students are equipped with the skills they need to function as professional marine scientists, in addition to / in conjuction with the skills training in other MSc modules. The module covers training in fieldwork techniques, communication & research skills, IT & data analysis and professional development.

Notes on analogue and digital amplitude modulation

Notes on AM, DSBSC, QAM, BPSK, 4QAM, 8PSK, 16QAM