Laminar chaos in coupled time-delay systems
Kulminskiy D. D. 1,2, Ponomarenko V. I. 1,3, Prokhorov M. D. 1
1Saratov Branch, Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Saratov, Russia
2Sirius University of Science and Technology, Sochi, Russia
3Saratov State University, Saratov, Russia
Email: kulminskydd@gmail.com, ponomarenkovi@gmail.com, mdprokhorov@yandex.ru

PDF
The possibility of the existence of laminar chaos in coupled time-delayed feedback systems is investigated. The cases of unidirectional and mutual coupling of time-delay systems are considered. It is shown for the first time that laminar chaos can exist not only in a system with a variable delay time, but also in a system with a constant delay time, if it is coupled with a system in the regime of laminar chaos. Keywords: Time-delay systems, Laminar chaos, Coupled oscillators, Synchronization
  1. V.I. Ponomarenko, M.D. Prokhorov, A.S. Karavaev, B.P. Bezruchko, Sistemy s zapazdyvaniem (rekonstruktsiya modelei i ikh prilozhenie) (Izd. Sarat. Univ., Saratov, 2016) (in Russian)
  2. G.A. Bocharov, F.A. Rihan, J. Comput. Appl. Math., 125, 183 (2000). DOI: 10.1016/S0377-0427(00)00468-4
  3. Y. Kuang, Delay differential equations with applications in population dynamics (Academic Press, Boston, 1993)
  4. T. Erneux, Applied delay differential equations (Springer-Verlag, N.Y., 2009)
  5. J. Marti nez-Llinas, X. Porte, M.C. Soriano, P. Colet, I. Fischer, Nature Commun., 6, 7425 (2015). DOI: 0.1038/ncomms8425
  6. D. Muller, A. Otto, G. Radons, Phys. Rev. E, 95, 062214 (2017). DOI: 10.1103/PhysRevE.95.062214
  7. D.V. Senthilkumar, M. Lakshmanan, Chaos, 17, 013112 (2007). DOI: 10.1063/1.2437651
  8. L. Lazarus, M. Davidow, R. Rand, Int. J. Nonlinear Mech., 78, 66 (2016). DOI: 10.1016/j.ijnonlinmec.2015.10.005
  9. D. Ghosh, S. Banerjee, A.R. Chowdhury, Europhys. Lett., 80, 30006 (2007). DOI: 10.1209/0295-5075/80/30006
  10. A.S. Karavaev, D.D. Kulminskiy, V.I. Ponomarenko, M.D. Prokhorov, Int. J. Bifurc. Chaos Appl. Sci. Eng., 25, 1550134 (2015). DOI: 10.1142/S0218127415501345
  11. V.I. Ponomarenko, M.D. Prokhorov, Phys. Rev. E, 66, 026215 (2002). DOI: 10.1103/PhysRevE.66.026215
  12. V.I. Ponomarenko, M.D. Prokhorov, A.S. Karavaev, D.D. Kulminskiy, Nonlinear Dyn., 74, 1013 (2013). DOI: 10.1007/s11071-013-1019-0
  13. D. Muller, A. Otto, G. Radons, Phys. Rev. Lett., 120, 084102 (2018). DOI: 10.1103/PhysRevLett.120.084102
  14. J.D. Hart, R. Roy, D. Muller-Bender, A. Otto, G. Radons, Phys. Rev. Lett., 123, 154101 (2019). DOI: 10.1103/PhysRevLett.123.154101
  15. T. Jungling, T. Stemler, M. Small, Phys. Rev. E, 101, 012215 (2020). DOI: 10.1103/PhysRevE.101.012215
  16. D.D. Kul'minskii, V.I. Ponomarenko, M.D. Prokhorov, Tech. Phys. Lett., 46 (5), 423 (2020). DOI: 10.1134/S1063785020050090
  17. D. Muller-Bender, A. Otto, G. Radons, J.D. Hart, R. Roy, Phys. Rev. E, 101, 032213 (2020). DOI: 10.1103/PhysRevE.101.032213 18 M.D. Prokhorov, V.I. Ponomarenko, Phys. Rev. E, 72, 016210 (2005). DOI: 10.1103/PhysRevE.72.016210

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru