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DAM
2007
79views more  DAM 2007»
13 years 4 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
AMC
1999
128views more  AMC 1999»
13 years 4 months ago
An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems
The stability of the equilibria of time-invariant nonlinear dynamical systems with discrete time scale is investigated. We present an elementary proof showing that in the case of ...
Weiye Li, Ferenc Szidarovszky
ISCAS
2005
IEEE
111views Hardware» more  ISCAS 2005»
13 years 10 months ago
Necessary and sufficient conditions for LTI systems to preserve signal richness
There are many ways to define richness of a discrete time signal. In this paper we consider a particular definition and explore the conditions under which a linear time invarian...
Borching Su, P. P. Vaidyanathan
CORR
2000
Springer
93views Education» more  CORR 2000»
13 years 4 months ago
Lattice Structure and Convergence of a Game of Cards
We study the dynamics of the so-called Game of Cards by using tools developed in the context of discrete dynamical systems. We extend a result of [4] and [10] (the last one in the ...
Eric Goles Ch., Michel Morvan, Ha Duong Phan
AUTOMATICA
2006
91views more  AUTOMATICA 2006»
13 years 4 months ago
Necessary and sufficient conditions for reachability on a simplex
In this paper we solve the general problem of designing a feedback controller to reach a set of facets of an n-dimensional simplex in finite time, for a system evolving with linea...
Bartek Roszak, Mireille E. Broucke