Jean-Pierre Aubin - Ockham’s razor: Deriving cyclic evolutions from viability and inertia constraints

arima:1913 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, September 15, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 - https://doi.org/10.46298/arima.1913
Ockham’s razor: Deriving cyclic evolutions from viability and inertia constraints

Authors: Jean-Pierre Aubin

This article deals with a theme to which Claude Lobry has been interested for a long time: what is the nature of mathematics motivated by biological sciences? It starts by presenting the subjective opinions of its author, illustrated by the simplest application one can think of: demonstrating that it is possible to produce cyclic evolutions on the simple basis of viability and inertia constraints, without using periodic differential equations. It is not impossible that this approach is foreign to an explanation of biological clocks (or economic cycles) in another field.


Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
Published on: September 15, 2008
Submitted on: March 14, 2008
Keywords: Viability, Biomathematics, Cyclicity, Inverse Problems, Hysteresis, Inertia, Inertia Function, Inertia Principle, Punctuated Equilibrium, Viability Kernels,Viabilité,Biomathématiques,Cyclicité,Problèmes Inverse,Hystérèse,Inertie,Fonction d’inertie,Principe d’inertie,Équilibres Ponctués,Noyaux de Viabilité,[INFO] Computer Science [cs],[MATH] Mathematics [math]


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