In the mathematics of
chaotic dynamical systems, in the Pyragas method of stabilizing a
periodic orbit
In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of function iterations or a certain amount of time.
Iterated functions
Given ...
, an appropriate continuous controlling signal is injected into the system, whose intensity is nearly zero as the system evolves close to the desired periodic orbit but increases when it drifts away from the desired orbit. Both the Pyragas and OGY (
Ott,
Grebogi and
Yorke) methods are part of a general class of methods called "closed loop" or "feedback" methods which can be applied based on knowledge of the system obtained through solely observing the behavior of the system as a whole over a suitable period of time.
K. Pyragas (1992) ''Continuous control of chaos via self-controlling feedback'', Physics Letters A, 170, 6, 421-428
The method was proposed by Lithuanian physicist .
References
External links
Kęstutis Pyragas homepage
Chaos theory
Nonlinear systems
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