- ...
- In order to simplify the notation
we do not write explicitely the dependence of the
concentrations on
, but actually the concentrations are functions of both
, T and
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- ...constant
- E.J. Hinch, Perturbation Methods (Cambridge University Press, Mexico, 1992), p. 116.
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- ...stable
- Given
that (20) defines a continuum of fixed points, they are all
``marginally'' stable, in the sense that the linearization of the dynamical system
around any of them has a zero eigenvalue. However, the system also has N constants of
motion so that only one fixed point belongs to each level set of these N constants.
We discuss this in detail in Sec. III.
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- ...
- Notice
that the right-hand-sides of Eqs. (25)-(26) correspond to a
linearization of the system (10)-(11) around a fixed point given
by (20). As mentioned before, this linearized operator has eigenvalues equal to zero.
Requiring that
for all i is equivalent to saying that the solutions
,
do not have any component along the directions associated with these
zero eigenvalues.
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- ...in
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S. P. Dawson, A. Lawniczak, and R. Kapral, J. Chem. Phys. 100,
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- E. E. Selkov, European
J. Biochem. 4, (1968),p. 79-86.
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J. Am. Chem. Soc. 108, 2826 (1986)
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