Resumen

MUNOZ S, A.G et al. Verhulst's Lagrangean and self-regulated systems. Rev. mex. fis. [online]. 2006, vol.52, suppl.3, pp.116-118. ISSN 0035-001X.

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.

Palabras llave : Logistic equation; Verhulst's Lagrangean; self-regulated systems.

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