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We consider temporal approximation of stationary statistical properties of dissipative complex dynamical systems. We demonstrate that stationary statistical properties of the time...
We develop a new mathematical model for describing a dynamical system at limited resolution (or finite scale), and we give precise meaning to the notion of a dynamical system havi...
We examine the itinerary of 0 ∈ S1 = R/Z under the rotation by α ∈ R\Q. The motivating question is: if we are given only the itinerary of 0 relative to I ⊂ S1 , a finite un...
In this paper, we use the exact model (or dynamical system approach) to describe the standard evolutionary algorithm (EA) as a discrete dynamical system for dynamic optimization pr...
Memory is often considered to be embedded into one of the attractors in neural dynamical systems, which provides an appropriate output depending on the initial state specified by ...
The exact computation of orbits of discrete dynamical systems on the interval is considered. Therefore, a multiple-precision floating point approach based on error analysis is ch...
The inverse kinematics problem is formulated as a parameterized autonomous dynamical system problem, and respective analysis is carried out. It is shown that a singular point of w...
Dragomir N. Nenchev, Yuichi Tsumaki, Masaru Uchiya...
We study a class of discrete dynamical systems that is motivated by the generic structure of simulations. The systems consist of the following data: (a) a
Christopher L. Barrett, Henning S. Mortveit, Chris...
This paper proposes a method of visualizing and measuring evolution in Artificial Life simulations. The evolving population of agents is treated as a dynamical system. The propose...
We study finite bisimulations of dynamical systems in Rn defined by Pfaffian maps. The pure existence of finite bisimulations for a more general class of o-minimal systems was show...