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IJBC
2007
46views more  IJBC 2007»
13 years 10 months ago
Discrete Dynamical Systems Consisting of Single-electron Circuits
Andrew Kilinga Kikombo, Takahide Oya, Tetsuya Asai...
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 11 months ago
Positive circuits and maximal number of fixed points in discrete dynamical systems
We consider a product X of n finite intervals of integers, a map F from X to itself, the asynchronous state transition graph (F) on X that Thomas proposed as a model for the dynam...
Adrien Richard
DAM
2007
79views more  DAM 2007»
13 years 11 months ago
Necessary conditions for multistationarity in discrete dynamical systems
R. Thomas conjectured, twenty years ago, that the presence of a positive circuit in the interaction graph of a dynamical system is a necessary condition for the presence of severa...
Adrien Richard, Jean-Paul Comet
LICS
2012
IEEE
12 years 1 months ago
Logics of Dynamical Systems
—We study the logic of dynamical systems, that is, logics and proof principles for properties of dynamical systems. Dynamical systems are mathematical models describing how the s...
André Platzer
AMC
2000
94views more  AMC 2000»
13 years 10 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...