Por favor utiliza este link para citar o compartir este documento: http://repositoriodigital.academica.mx/jspui/handle/987654321/85548
Título: Verhulst's Lagrangean and self-regulated systems
Palabras clave: Logistic equation
Verhulst's Lagrangean
self-regulated systems
Fecha de publicación: 31-Jul-2012
Editorial: Revista mexicana de física
Descripción: Many examples of systems presenting self-limiting behaviour exist in nature: population dynamics, structure engineering, Townsend's electron breakdown, nuclear decay in radioactive equilibrium, histeresis process, meteorological models, etcetera. Each case is treated, generally with a different theory, sometimes a phenomenological one. In this work, we call your attention to the advantages the use of a variational formulation should provide in the study of self-regulated systems, such as a unified description of the phenomena mentioned above, further comprehension of the internal structure and symmetries of the related equations, and the equilibria points obtained via the energy function. As a particular and useful case, we have the Lagrangean and Hamiltonian functions obtained from the logistic equation, studying some of its dynamical properties and applications.
Other Identifiers: http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2006000900033
Aparece en las Colecciones:Revista Mexicana de Física

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