Title :

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

Author(s) :

Moulay, Emmanuel [Auteur]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Baguelin, Marc [Auteur]

Journal title :

Physica D: Nonlinear Phenomena

Pages :

79-90

Publisher :

Elsevier

Publication date :

2005

ISSN :

0167-2789

English keyword(s) :

fractal algorithm
dynamical systems
adaptive systems
biological systems
fractal algorithm.

HAL domain(s) :

Science non linéaire [physics]/Adaptation et Systèmes auto-organisés [nlin.AO]
Science non linéaire [physics]/Dynamique Chaotique [nlin.CD]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL