Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Reggie Brown"'
Autor:
Reggie Brown, Ljupco Kocarev
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 10:344-349
We propose a unified definition for synchronization. By example we show that the synchronization phenomena discussed in the dynamical systems literature can be described within the framework of this definition.
Comment: 4 pages, no figures, subm
Comment: 4 pages, no figures, subm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8b8da3a5a0f9573a836fb5140f36e36
https://doi.org/10.1063/1.166500
https://doi.org/10.1063/1.166500
Publikováno v:
Physical Review E. 61:3716-3720
The question of robustness of synchronization with respect to small arbitrary perturbations of the underlying dynamical systems is addressed. We present examples of chaos synchronization demonstrating that normal hyperbolicity is a necessary and suff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce373ea79f45267e32629561a72e5d74
https://doi.org/10.1103/physreve.61.3716
https://doi.org/10.1103/physreve.61.3716
Autor:
Reggie Brown
Publikováno v:
Physical Review Letters. 81:4835-4838
We present methods for approximating the mapping that defines the invariant manifold for two systems exhibiting generalized synchronization. If the equations of motion are known then an analytic approximation to the mapping can be found. If time seri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08d14a44a5d4cb77453a9b868d9c5796
https://doi.org/10.1103/physrevlett.81.4835
https://doi.org/10.1103/physrevlett.81.4835
Autor:
Nikolai F. Rulkov, Reggie Brown
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 7:395-413
We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to perturbations. An easy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08640caac2e4e1036f9077cc41d05240
https://doi.org/10.1063/1.166213
https://doi.org/10.1063/1.166213
Publikováno v:
Physica D: Nonlinear Phenomena. 102:253-261
We consider the problem of estimating parameters from time-series observations of spatio-temporal systems. Two types of models are considered: (a) a one-dimensional coupled map lattice with nearest neighbor diffusive coupling; and (b) the complex Gin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1dbb396c1ba6ea07ea2178b633766d3d
https://doi.org/10.1016/s0167-2789(96)00201-1
https://doi.org/10.1016/s0167-2789(96)00201-1
Publikováno v:
Physica D: Nonlinear Phenomena. 102:208-226
We examine the advantages of using equivariant versus nonequivariant phenomenological models for chaotic systems that possess an inversion symmetry. Numerical experiments used the minimum description length (MDL) criteria for model selection. They in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3439444b84bbbd1831a147f7e7198ae
https://doi.org/10.1016/s0167-2789(96)00178-9
https://doi.org/10.1016/s0167-2789(96)00178-9
Publikováno v:
Physical Review E. 51:3871-3889
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d15734df080895bf120c1525bf8dd5b3
https://doi.org/10.1103/physreve.51.3871
https://doi.org/10.1103/physreve.51.3871
Publikováno v:
Physics Letters A. 196:201-205
We examine the effect of additive noise in, and drift in the dynamics of, a chaotic driving signal on the synchronization of chaotic response systems. Simple scaling laws associated with the synchronization deviation level under these types of contam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c80250233ac197b2d4ea9b0c8a18051d
https://doi.org/10.1016/0375-9601(94)91071-5
https://doi.org/10.1016/0375-9601(94)91071-5
Publikováno v:
Physical Review E. 50:4488-4508
We examine the effect of additive noise and drift, in the dynamics of a chaotic driving signal, on the synchronization of chaotic response systems. Simple scaling laws associated with the synchronization deviation level under these types of contamina
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b097e13312851b1eda890254ff848490
https://doi.org/10.1103/physreve.50.4488
https://doi.org/10.1103/physreve.50.4488
Publikováno v:
Physics Letters A. 194:71-76
The inverse problem of extracting evolution equations from chaotic time series measured from continuous systems is considered. The resulting equations of motion form an autonomous system of nonlinear ordinary differential equations (ODEs). The vector
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b35384f22685e5fdda22ebaab95cbc0e
https://doi.org/10.1016/0375-9601(94)00708-w
https://doi.org/10.1016/0375-9601(94)00708-w