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10 years 28 days ago
Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
We consider temporal approximation of stationary statistical properties of dissipative complex dynamical systems. We demonstrate that stationary statistical properties of the time...
Xiaoming Wang
113views more  FOCM 2011»
10 years 1 months ago
Finite Resolution Dynamics
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...
Stefano Luzzatto, Pawel Pilarczyk
10 years 4 months ago
Itineraries of rigid rotations and diffeomorphisms of the circle
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...
David Richeson, Paul Winkler, Jim Wiseman
10 years 4 months ago
An Analysis of the XOR Dynamic Problem Generator Based on the Dynamical System
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...
Renato Tinós, Shengxiang Yang
10 years 4 months ago
Learning Shapes Bifurcations of Neural Dynamics upon External Stimuli
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 ...
Tomoki Kurikawa, Kunihiko Kaneko
114views Education» more  CORR 2010»
10 years 4 months ago
Computational Complexity of Iterated Maps on the Interval
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...
Christoph Spandl
117views more  IJRR 2000»
10 years 6 months ago
Singularity-Consistent Parameterization of Robot Motion and Control
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...
94views more  AMC 2000»
10 years 6 months ago
Elements of a theory of simulation II: sequential dynamical systems
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...
10 years 6 months ago
Tracking the Trajectories of Evolution
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...
Mikhail S. Burtsev
120views more  MST 2008»
10 years 6 months ago
Bounds on Sizes of Finite Bisimulations of Pfaffian Dynamical Systems
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...
Margarita V. Korovina, Nicolai Vorobjov