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Dynamical systems theory
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Dynamical systems theory
Dynamical systems theory
is an area of
mathematics
used to describe the behavior of
complex
dynamical systems
, usually by employing
differential equations
or
difference equations
. When differential equations are employed, the theory is called
continuous dynamical systems
. When difference equations are employed, the theory is called
discrete dynamical systems
. When the time variable runs over a set that is discrete over some intervals and continuous over other intervals or is any arbitrary time-set such as a
cantor set
—one gets
dynamic equations on time scales
. Some situations may also be modeled by mixed operators, such as
differential-difference equations
.
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