1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Complete periodic synchronization in coupled systems
Rent:
Rent this article for
USD
10.1063/1.3025253
/content/aip/journal/chaos/18/4/10.1063/1.3025253
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/4/10.1063/1.3025253
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Classification of eight types of critical curve for coupled periodic oscillators. The model we used in (a)–(d) is Lorenz oscillator [ , , ] with the parameter set ( , , ), and the model we used in (e)–(h) is Landau–Stuart oscillator [ , ] with the parameter . Under these parameters only one periodic attractor can be found.

Image of FIG. 2.
FIG. 2.

Stability analysis of complete periodic synchronization with the eight critical curves in Fig. 1 . We use S, P, QP, LC, HC1, and HC2 to denote different desynchronous behaviors (see text for details). In simulation, usually initial states very close to the synchronous state are chosen, .

Image of FIG. 3.
FIG. 3.

The same as Fig. 2 for .

Image of FIG. 4.
FIG. 4.

[(a) and (b)] The spatial orders after the shortest wavelength bifurcation for the steady state and the periodic state, respectively. [(c)–(h)] The spatial orders after Hopf bifurcation from synchronous period for the quasiperiodic state, the low-dimensional chaotic state, the high-dimensional chaotic state with one positive and two zero Lyapunov exponents, the high-dimensional chaotic state with two positive and one zero Lyapunov exponents, the periodic state, and the chaotic state with the instability of the mode, respectively. (a) , [Fig. 3(f) ], (b) , [Fig. 3(c) ], (c) , [Fig. 3(b) ], (d) , [Fig. 3(b) ], (e) , [Fig. 3(b) ], (f) , [Fig. 3(d) ], (g) , [Fig. 3(b) ], and (h) , [Fig. 2(d) ].

Image of FIG. 5.
FIG. 5.

Comparison of spatial orders after Hopf bifurcation from synchronous period for zero and non-zero gradient couplings. (a) , , and (b) , . [Fig. 3(b) ]; (c) , , and (d) , . [Fig. 2(a) ].

Loading

Article metrics loading...

/content/aip/journal/chaos/18/4/10.1063/1.3025253
2008-11-17
2014-04-17
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Complete periodic synchronization in coupled systems
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/4/10.1063/1.3025253
10.1063/1.3025253
SEARCH_EXPAND_ITEM