title: A theoretical framework for defining some concepts in evolution.
abstract: We present a theoretical framework for biological evolution with the intention of giving precise mathematical definitions of some concepts in evolutionary biology such as fitness, evolutionary pressure, specialization and natural selection. In this framework, such concepts are identified with well-known mathematical terms within the theory of dynamical systems. We also discuss some more general implications in evolution; for instance, the fact that our model naturally exhibits a frequency spectrum of the type 1/f for low frequencies of evolutionary events.
authors.affiliation: Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México.
authors.forename: Pablo
authors.initials: P
authors.lastname: Padilla
authors.forename: Pedro
authors.initials: P
authors.lastname: Miramontes
mesh_terms: D000465:Algorithms; D000818:Animals; D005075:Biological Evolution; D001695:Biology; D004777:Environment; D006801:Humans; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D012641:Selection, Genetic