Menu: Home :: go to Journal :: switch to Russian :: switch to English
You are here: all Journals and Issues→ Journal→ Issue→ Article

PHASE TUBE METHOD FOR THE GENERALIZED SYNCHRONIZATION REGIME DETECTION IN SPATIALLY EXTENDED SYSTEMS

Annotation

Phase tube method for the analysis of the generalized synchronization regime in spatially extended systems is proposed. The presence of the generalized synchronization regime is shown to be determined by the analysis of the system under study in discrete representation.

Keywords

generalized synchronization, spatially extended systems, phase tube.

Full-text in one file

Download

UDC

517.9

Pages

888-891

References

1. Rulkov N.F., Sushchik M.M., Tsimring L.S., Abarbanel H.D.I. Generalized synchronization of chaos in directionally coupled chaotic systems // Phys. Rev. E. 1995. V. 51. № 2. P. 980-994. 2. Koronovskiy A.A., Moskalenko O.I., Khramov A.E. O primenenii khaoticheskoy sinkhronizatsii dlya skrytoy peredachi informatsii // Uspekhi fizicheskikh nauk. 2009. T. 179. № 12. S. 1281-1310. 3. Moskalenko O.I., Koronovskii A.A., Hramov A.E., Boccaletti S. Gene-ralized synchronization in mutually coupled oscillators and complex networks // Phys. Rev. E. 2012. V. 86. P. 036216. 4. Abarbanel H.D.I., Rulkov N.F., Sushchik M.M. Generalized synchronization of chaos: The auxiliary system approach // Phys. Rev. E. 1996. V. 53. № 5. P. 4528-4535. 5. Koronovskii A.A., Moskalenko O.I., Hramov A.E. Nearest neighbors, phase tubes, and generalized synchronization // Phys. Rev. E. 2011. V. 84. № 3. P. 037201. 6. Hramov A.E., Koronovskii A.A., Popov P.V. Generalized synchronization in coupled Ginzburg-Landau equations and mechanisms of its arising // Phys. Rev. E. 2005. V. 72. № 3. P. 037201. 7. Filatov R.A., Hramov A.E., Koronovskii A.A. Chaotic synchronization in coupled spatially extended beam-plasma systems // Phys. Lett. A. 2006. V. 358. P. 301-308. 8. Koronovskii A.A., Moskalenko O.I., Shurygina S.A., Hramov A.E. Generalized synchronization in discrete maps. New point of view on weak and strong synchronization // Chaos, Solitons & Fractals. 2013. V. 46. P. 12-18. 9. Koronovskiy A.A., Moskalenko O.I., Pavlov A.S., Filatova A.E., Khramov A.E., Khramova M.V., Shurygina S.A. Obobshchennaya sinkhronizatsiya v setyakh svyazannykh nelineynykh elementov // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2012. T. 17. Vyp. 5. S. 1424-1427. 10. Frolov N.S., Grubov V.V., Pavlov A.N., Khramov A.E., Kurkin S.A., Khramova M.V. Optimizatsiya fizicheskikh protsessov v tsepochke od-nonapravlenno svyazannykh generatorov khaoticheskikh signalov na virtual'nom katode // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2013. T. 18. Vyp. 4. S. 1443-1445.

Received

2014-04-19

Section of issue

Scientific articles

Для корректной работы сайта используйте один из современных браузеров. Например, Firefox 55, Chrome 60 или более новые.