TRACKING UNSTABLE ORBITS IN AN EXPERIMENT

被引:88
作者
CARROLL, TL
TRIANDAF, I
SCHWARTZ, I
PECORA, L
机构
[1] Code 6341, Naval Research Laboratory, Washington
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 10期
关键词
D O I
10.1103/PhysRevA.46.6189
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We present a continuation method for experimentally tracking unstable periodic orbits by slowly varying an available system parameter in a dynamical system. The method does not depend on an explicit model, but on the signal analysis of a measured time series. Unstable periodic orbits can be tracked through various bifurcations. We apply this to a Duffing-like circuit and compare the results to an approximate model of the circuit.
引用
收藏
页码:6189 / 6192
页数:4
相关论文
共 15 条
[1]   EXTRACTING QUALITATIVE DYNAMICS FROM EXPERIMENTAL-DATA [J].
BROOMHEAD, DS ;
KING, GP .
PHYSICA D, 1986, 20 (2-3) :217-236
[2]  
DANIEL P, 1989, PHYS REV A, V40, P4028
[3]   ON STEPLENGTH ALGORITHMS FOR A CLASS OF CONTINUATION METHODS [J].
DENHEIJER, C ;
RHEINBOLDT, WC .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (05) :925-948
[4]  
DITTO WL, 1990, PHYS REV LETT, V65, P1947
[5]  
GILLS Z, UNPUB
[6]   STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR [J].
HUNT, ER .
PHYSICAL REVIEW LETTERS, 1991, 67 (15) :1953-1955
[7]  
Li T., UNPUB
[8]  
NIHAL J, 1991, PHYS REV A, V44, P4861
[9]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[10]  
PECORA LJ, UNPUB