Murad Banaji, Janusz Mierczynski
Published 2012-05-08, updated 2012-11-06Version 2
It is shown that certain classes of differential equations arising from the modelling of chemical reaction networks have the following property: the state space is foliated by invariant subspaces each of which contains a unique equilibrium which, in turn, attracts all initial conditions on the associated subspace.
Comments: Some typos and minor errors from the previous version have been corrected
Space of initial conditions for a cubic Hamiltonian system
Kovalevskaya exponents and the space of initial conditions of a quasi-homogeneous vector field
$C^1$-smooth dependence on initial conditions and delay: spaces of initial histories of Sobolev type, and differentiability of translation in $L^p$
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