Abstract
The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally observed, since its size in parameter space decreases exponentially with the period of the periodic attractor. This property imposes clear limitations for its experimental detection.
| Original language | English |
|---|---|
| Article number | 037202 |
| Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
| Volume | 77 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2008 |
Keywords
- parameter space
- map
- dynamics
- chaos
Cite this
Experimental observation of a complex periodic window. / Maranhao, D. M.; Baptista, Murilo Da Silva; Sartorelli, J. C.; Caldas, I. L.
In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 77, No. 3, 037202, 03.2008.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Experimental observation of a complex periodic window
AU - Maranhao, D. M.
AU - Baptista, Murilo Da Silva
AU - Sartorelli, J. C.
AU - Caldas, I. L.
PY - 2008/3
Y1 - 2008/3
N2 - The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally observed, since its size in parameter space decreases exponentially with the period of the periodic attractor. This property imposes clear limitations for its experimental detection.
AB - The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally observed, since its size in parameter space decreases exponentially with the period of the periodic attractor. This property imposes clear limitations for its experimental detection.
KW - parameter space
KW - map
KW - dynamics
KW - chaos
U2 - 10.1103/PhysRevE.77.037202
DO - 10.1103/PhysRevE.77.037202
M3 - Article
VL - 77
JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
SN - 1539-3755
IS - 3
M1 - 037202
ER -