A survey on biological rhythms, Biological Rhythms, pp.3-10, 1981. ,
Biochemical oscillations and cellular rhythms: the molecular bases of periodic and chaotic behaviour, 1997. ,
, Computational approaches to cellular rhythms, Nature, vol.420, issue.6912, pp.238-245, 2002.
Lectures on chemical reaction networks, 1979. ,
Modeling and analysis of mass-action kinetics, Control Systems, IEEE, vol.29, issue.4, pp.60-78, 2009. ,
The use of delay differential equations in chemical kinetics, The Journal of Physical Chemistry, vol.100, issue.20, pp.8323-8330, 1996. ,
Delay effects and differential delay equations in chemical kinetics, International Reviews in Physical Chemistry, vol.11, issue.1, pp.135-160, 1992. ,
Delay-differential equations and the model equivalence problem in chemical kinetics, Phys. Can, vol.57, pp.114-120, 2001. ,
Graph-theoretic methods for the analysis of chemical and biochemical networks. i. multistability and oscillations in ordinary differential equation models, Journal of mathematical biology, vol.55, issue.1, p.61, 2007. ,
Issues in the numerical solution of evolutionary delay differential equations, Advances in Computational Mathematics, vol.3, issue.3, pp.171-196, 2013. ,
,
Numerical modelling in biosciences using delay differential equations, Ordinary Differential Equations and Integral Equations, vol.125, pp.183-199, 2000. ,
, Delay Effects on Stability: A Robust Control Approach, issue.269, 2001.
Oscillations in chemical systems. IV. limit cycle behavior in a model of a real chemical reaction, The Journal of Chemical Physics, vol.60, issue.5, pp.1877-1884, 1974. ,
Further remarks on delay dynamics in oregonator models, 12th IEEE International Conference on Control & Automation, 2016. ,
Complex dynamics in the oregonator model with linear delayed feedback, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.18, issue.2, p.23126, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00371750
Analytic representation of oscillations, excitability, and traveling waves in a realistic model of the belousov-zhabotinskii reaction, The Journal of Chemical Physics, vol.66, issue.3, pp.905-915, 1977. ,
Differential delay equations in chemical kinetics. nonlinear models: The cross-shaped phase diagram and the oregonator, The Journal of chemical physics, vol.95, issue.1, pp.244-254, 1991. ,
Fundamental chemical kinetics: an explanatory introduction to the concepts, 1999. ,
Numerical bifurcation analysis of delay differential equations using dde-biftool, ACM Transactions on Mathematical Software (TOMS), vol.28, issue.1, pp.1-21, 2002. ,