Title :
Detecting motion on center manifolds from a time series-an example
Author :
Schwartz, Ira B. ; Triandaf, Ioana
Author_Institution :
Div. of Plasma Phys., US Naval Res. Lab., Washington, DC, USA
fDate :
30 Apr-3 May 1995
Abstract :
Recent progress in control from a geometric viewpoint using nonlinear dynamics techniques has focused primarily on linear control. When using embedding methods to locate local properties of controllable states, hyperbolicity is always assumed. However, many problems which contain symmetries also contain nonlinear instabilities. It is the purpose of this paper to give a procedure for detecting these nonlinear directions from time series using embedding methods
Keywords :
chaos; hyperbolic equations; nonlinear dynamical systems; stability; time series; center manifolds; embedding methods; geometric viewpoint; hyperbolicity; local properties; nonlinear dynamics techniques; nonlinear instabilities; time series; Chaos; Extraterrestrial measurements; Laboratories; Motion detection; Nonlinear equations; Orbits; Physics; Plasma properties; Stability; Time measurement;
Conference_Titel :
Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2570-2
DOI :
10.1109/ISCAS.1995.520356