Fecha
2020-02-01
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Derechos de acceso
info:eu-repo/semantics/openAccess
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Editor
American Institute of Mathematical Sciences
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Resumen
We present a new method to study the stability of one-dimensional discrete-time models, which is based on studying the graph of a certain family of functions. The method is closely related to exponent analysis, which the authors introduced to study the global stability of certain intricate convex combinations of maps. We show that the new strategy presented here complements and extends some existing conditions for the global stability. In particular, we provide a global stability condition improving the condition of negative Schwarzian derivative. Besides, we study the relation between this new method and the enveloping technique.
Descripción
This is an Accepted Manuscript of an article published by American Institute of Mathematical Sciences in "Discrete and Continuous Dynamical Systems - B (DCDS-B), 25(2). (2020)", available at: https://doi.org/10.3934/dcdsb.2019258
Categorías UNESCO
Palabras clave
Global stability, discrete dynamical system, enveloping, Schwarzian derivative, population model
Citación
Daniel Franco, Juan Perán, Juan Segura. "Stability for one-dimensional discrete dynamical systems revisited. Discrete and Continuous Dynamical Systems - B, 2020, 25(2): 635-650". doi: 10.3934/dcdsb.2019258
Centro
Facultades y escuelas::E.T.S. de Ingenieros Industriales
Departamento
MATEMÁTICA APLICADA I