caa a22 4500 445329955 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00285-010-0388-y doi (NATIONALLICENCE)springer-10.1007/s00285-010-0388-y Stable periodicity and negative circuits in differential systems [Elektronische Daten] [Adrien Richard, Jean-Paul Comet] We provide a counter-example to a conjecture of René Thomas on the relationship between negative feedback circuits and stable periodicity in ordinary differential equation systems (Kaufman etal. in J Theor Biol 248:675-685, 2007). We also prove a weak version of this conjecture by using a theorem of Snoussi. Springer-Verlag, 2010 Feedback circuit nationallicence Regulatory network nationallicence Oscillation nationallicence Jacobian matrix nationallicence Interaction graph nationallicence Richard Adrien I3S, UMR 6070 CNRS, Université de Nice-Sophia Antipolis, 2000 route des Lucioles, 06903, Sophia Antipolis, France aut Comet Jean-Paul I3S, UMR 6070 CNRS, Université de Nice-Sophia Antipolis, 2000 route des Lucioles, 06903, Sophia Antipolis, France aut Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 593-600 0303-6812 63:3<593 2011 63 285 https://doi.org/10.1007/s00285-010-0388-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0388-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Richard Adrien I3S, UMR 6070 CNRS, Université de Nice-Sophia Antipolis, 2000 route des Lucioles, 06903, Sophia Antipolis, France aut NATIONALLICENCE 700 1- Comet Jean-Paul I3S, UMR 6070 CNRS, Université de Nice-Sophia Antipolis, 2000 route des Lucioles, 06903, Sophia Antipolis, France aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 593-600 0303-6812 63:3<593 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer