Statistical mechanics of complex networks. Reviews of Modern Phys, p.47, 2002. ,
Counting and Classifying Attractors in High Dimensional Dynamical Systems, Journal of Theoretical Biology, vol.183, issue.3, pp.269-284, 1996. ,
DOI : 10.1006/jtbi.1996.0220
Topological entropy for noncompact sets, Transactions of the American Mathematical Society, vol.184, pp.125-136, 1973. ,
DOI : 10.1090/S0002-9947-1973-0338317-X
Piecewise isometries have zero topological entropy, Ergodic Theory and Dynamical Systems, vol.21, issue.05, pp.1371-1377, 2001. ,
DOI : 10.1017/S0143385701001651
Positive and Negative Feedback: Striking a Balance Between Necessary Antagonists, Journal of Theoretical Biology, vol.216, issue.2, pp.229-241, 2002. ,
DOI : 10.1006/jtbi.2002.2544
Qualitative simulation of genetic regulatory networks using piecewise-linear models, Bulletin of Mathematical Biology, vol.66, issue.2, pp.301-340, 2004. ,
DOI : 10.1016/j.bulm.2003.08.010
URL : https://hal.archives-ouvertes.fr/hal-00173849
Hybrid Modeling and Simulation of Genetic Regulatory Networks: A Qualitative Approach, LNCS, vol.2623, pp.267-282, 2003. ,
DOI : 10.1007/3-540-36580-X_21
Genetic regulation networks: circuits, regulons and attractors, Comptes Rendus Biologies, vol.326, issue.2, 2003. ,
DOI : 10.1016/S1631-0691(03)00069-6
Combinatorial explosion in model gene networks, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.10, issue.3, pp.691-704, 2000. ,
DOI : 10.1063/1.1286997
Analysis of continuous-time switching networks, Physica D: Nonlinear Phenomena, vol.146, issue.1-4, pp.165-199, 2000. ,
DOI : 10.1016/S0167-2789(00)00130-5
Chaos in neural and gene networks with hard switching, Differential Equations and Dynamical Systems, vol.9, pp.187-220, 2001. ,
Symbolic dynamics and computation in model gene networks, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.11, issue.1, pp.160-169, 2001. ,
DOI : 10.1063/1.1336498
On matrices with common invariant cones with applications in neural and gene networks, Linear Algebra and its Applications, vol.398, pp.37-67, 2005. ,
DOI : 10.1016/j.laa.2004.04.005
Transitions d'´ etats dans un réseau génétique affine par morceaux. technical report available at http://www-lmc.imag.fr/lmc-cf/Etienne, 2003. ,
Symbolic representations of iterated maps, Topological Methods in Nonlinear Analysis, vol.18, issue.1, pp.119-147, 2001. ,
DOI : 10.12775/TMNA.2001.027
Global dynamics of neural nets with infinite gain, Physica D: Nonlinear Phenomena, vol.146, issue.1-4, pp.200-212, 2000. ,
DOI : 10.1016/S0167-2789(00)00129-9
Attractors in continuous ???time switching networks, Communications on Pure and Applied Analysis, vol.2, issue.2, pp.187-209, 2003. ,
DOI : 10.3934/cpaa.2003.2.187
The logical analysis of continuous, non-linear biochemical control networks, Journal of Theoretical Biology, vol.39, issue.1, pp.103-129, 1973. ,
DOI : 10.1016/0022-5193(73)90208-7
Classification of biological networks by their qualitative dynamics, Journal of Theoretical Biology, vol.54, issue.1, pp.85-107, 1975. ,
DOI : 10.1016/S0022-5193(75)80056-7
Combinatorial and topological methods in nonlinear chemical kinetics, The Journal of Chemical Physics, vol.63, issue.4, pp.1325-1335, 1975. ,
DOI : 10.1063/1.431518
Prediction of limit cycles in mathematical models of biological oscillations, Bulletin of Mathematical Biology, vol.27, issue.1, pp.27-44, 1978. ,
DOI : 10.1007/BF02463128
Stable oscillations in mathematical models of biological control systems, Journal of Mathematical Biology, vol.11, issue.3, pp.207-223, 1978. ,
DOI : 10.1007/BF02547797
A class of piecewise linear differential equations arising in biological models, Dynamical Systems, vol.17, issue.4, pp.299-316, 2003. ,
DOI : 10.1080/1468936021000041681
Basic Properties of Convex Polytopes, Boca Raton, 1997. ,
DOI : 10.1201/9781420035315.pt2
Topological entropy for noncompact spaces. Michigan Math, J, vol.21, issue.3, pp.235-242, 1975. ,
Dynamics in high-dimensional model gene networks, Signal Processing, vol.83, issue.4, pp.789-798, 2003. ,
DOI : 10.1016/S0165-1684(02)00479-6
BIFURCATIONS IN GLASS NETWORKS, International Journal of Bifurcation and Chaos, vol.15, issue.02, pp.395-423, 2005. ,
DOI : 10.1142/S0218127405012302
The origins of order, 1993. ,
STEADY STATES, LIMIT CYCLES, AND CHAOS IN MODELS OF COMPLEX BIOLOGICAL NETWORKS, International Journal of Bifurcation and Chaos, vol.01, issue.02, pp.477-483, 1991. ,
DOI : 10.1142/S0218127491000373
Nonlinear Dynamics and Symbolic Dynamics of Neural Networks, Neural Computation, vol.4, issue.5, pp.621-642, 1992. ,
DOI : 10.1016/0167-2789(90)90140-K
An introduction to symbolic dynamics and coding, 1995. ,
DOI : 10.1017/CBO9780511626302
Periodic solutions in systems of piecewise- linear differential equations, Dynamics and Stability of Systems, vol.29, issue.2, pp.179-193, 1995. ,
DOI : 10.1016/S0022-5193(05)80350-9
Chaos in high-dimensional neural and gene networks, Physica D: Nonlinear Phenomena, vol.98, issue.1, pp.33-52, 1996. ,
DOI : 10.1016/0167-2789(96)00086-3
Common Chaos in Arbitrarily Complex Feedback Networks, Physical Review Letters, vol.79, issue.4, pp.653-656, 1997. ,
DOI : 10.1103/PhysRevLett.79.653
On Bowen's definition of topological entropy, Discrete and Continuous Dynamical Systems, vol.10, issue.3, pp.827-833, 2004. ,
DOI : 10.3934/dcds.2004.10.827
A methodological basis for description and analysis of systems with complex switch-like interactions, Journal of Mathematical Biology, vol.36, issue.4, pp.321-348, 1998. ,
DOI : 10.1007/s002850050103
Analysis and generic properties of gene regulatory networks with graded response functions, Physica D: Nonlinear Phenomena, vol.201, issue.1-2, pp.150-176, 2005. ,
DOI : 10.1016/j.physd.2004.11.014
Qualitative dynamics of piecewise-linear differential equations: a discrete mapping approach, Dynamics and Stability of Systems, vol.54, issue.3-4, pp.3-4, 1989. ,
DOI : 10.1016/S0006-3495(71)86192-1
Modèles mathématiques de la morphogenèse. Bourgois, pp.10-18, 1974. ,
Biological Feedback, 1990. ,
URL : https://hal.archives-ouvertes.fr/hal-00087681
Lectures on polytopes, Graduate Texts in Mathematics, vol.152, 1995. ,
DOI : 10.1007/978-1-4613-8431-1