Meta-dynamical adaptive systems and their applications to a fractal algorithm and a biological model

In this article, one defines two models of adaptive systems: the meta- dynamical adaptive system using the notion of Kalman dynamical systems and the adaptive differential equations using the notion of variable dimension spaces. This concept of variable dimension spaces relates the notion of spaces...

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Bibliographic Details
Published in:Physica. D Vol. 207; no. 1; pp. 79 - 90
Main Authors: Moulay, Emmanuel, Baguelin, Marc
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 15.07.2005
Elsevier
Subjects:
Adaptation and Self-Organizing Systems
Adaptive systems
Biological systems
Chaotic Dynamics
Dynamical systems
Exact sciences and technology
Fractal algorithm
Nonlinear Sciences
Physics
Adaptive systems
92D25
37F50
92D15
93A05
Biological systems
Fractal algorithm
Dynamical systems
Non linear phenomenon
92D25 Dynamical systems
Algorithms
Fractal
Differential equations
Models
dynamical systems
biological systems
fractal algorithm
adaptive systems
ISSN:0167-2789, 1872-8022
Online Access:Get full text
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Summary:In this article, one defines two models of adaptive systems: the meta- dynamical adaptive system using the notion of Kalman dynamical systems and the adaptive differential equations using the notion of variable dimension spaces. This concept of variable dimension spaces relates the notion of spaces to the notion of dimensions. First, a computational model of the Douady’s Rabbit fractal is obtained by using the meta-dynamical adaptive system concept. Then, we focus on a defense-attack biological model described by our two formalisms.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2005.05.013