April 2016
Intermediate to advanced
548 pages
19h 23m
English
Content preview from Ecological Sustainability
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394 Glossary
yet deterministic manner, a behavior noted in the three coupled
Lorenz equations.
autocatalytic reaction (in chemical dynamics): Those reactions in which at
least one of the products (on the right-hand side of the chemical equa-
tion) is a reactant (on the left-hand side of the chemical equation).
An example of a simple autocatalytic reaction is
A B
B
+ ⇐ ⇒
k
k
r
f
2
. An
autocatalytic reaction system uses positive feedback, and its mass-
action (MA) equation(s) is (are) nonlinear (NL). The autocatalytic MA
ordinary differential equation (ODE) is
b k ab k b= −
f r
2
, where a and b
are the running concentrations of A and B, respectively. When the
simple autocatalytic ODE above is viewed as an initial value prob-
lem (IVP), with in ...
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