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ICALP
1994
Springer
14 years 27 days ago
On some Relations between Dynamical Systems and Transition Systems
Abstract. In this paper we de ne a precise notion of abstraction relation between continuous dynamical systems and discrete state-transition systems. Our main result states that ev...
Eugene Asarin, Oded Maler
INFSOF
2002
126views more  INFSOF 2002»
13 years 8 months ago
Detection of dynamic execution errors in IBM system automation's rule-based expert system
We formally verify aspects of the rule-based expert system of IBM's System Automation software for IBM's zSeries mainframes. Starting with a formalization of the expert ...
Carsten Sinz, Thomas Lumpp, Jürgen M. Schneid...
ICCS
2007
Springer
14 years 3 months ago
A General Long-Time Molecular Dynamics Scheme in Atomistic Systems: Hyperdynamics in Entropy Dominated Systems
Abstract. We extend the hyperdynamics method developed for lowdimensional energy-dominated systems, to simulate slow dynamics in more general atomistic systems. We show that a few ...
Xin Zhou, Yi Jiang
ISSAC
2005
Springer
70views Mathematics» more  ISSAC 2005»
14 years 2 months ago
Approximation of dynamical systems using s-systems theory: application to biological systems
In this article we propose a new symbolic-numeric algorithm to find positive equilibria of a n-dimensional dynamical system. This algorithm uses a symbolic manipulation of ODE in...
Laurent Tournier
RECOMB
2009
Springer
14 years 9 months ago
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology
The dynamics of biological processes are often modeled as systems of nonlinear ordinary differential equations (ODE). An important feature of nonlinear ODEs is that seemingly minor...
Alexandre Donzé, Gilles Clermont, Axel Lega...