For citation:
Zulpukarov M. M., Malinetskii G. G., Podlazov A. V. An example of hard turbulence in the channels and jokers system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 5, pp. 26-52. DOI: 10.18500/0869-6632-2008-16-5-26-52
An example of hard turbulence in the channels and jokers system
Hard turbulence, a chaotic mode distinguished by infrequent catastrophic outbreaks on the weak irregular space oscillation background, is considered. On-off intermittency as one of the possible ways of simplified qualitative definition of hard turbulence is discussed. The paper introduces an example solution of the inverse problem, constructing a deterministic-probabilistic system (a channels and jokers system) generating time series with characteristics similar to the ones of the time series generated by a simple system working in on-off intermittency mode (the Ershov mapping).
- Kuramoto Y. Chemical Oscillations, Waves, and Turbulence. Berlin: Springer-Verlag; 1984. 156 p. DOI: 10.1007/978-3-642-69689-3.
- Akhromeeva TS, Kurdyumov SP, Malinetskii GG, Samarskiy AA. Nonstationary Structures and Diffusion Chaos. Moscow: Nauka; 1992. 544 p. (in Russian).
- Malinetskii GG, Potapov AB. Modern Problems of Nonlinear Dynamics. Moscow: URSS; 2002. 360 p. (in Russian).
- Malinetskii GG, Potapov AB, Podlazov AV. Nonlinear Dynamics: Approaches, Results, Hopes. Moscow: URSS; 2006. 280 p. (in Russian).
- Beaichuk LV, Malinetskii GG. Jokers' tricks on one-dimensional mappings. Preprint, Inst. Appl. Math., the Russian Academy of Science. Moscow; 1997. No. 24. 29 p. (in Russian).
- Malinetskii GG, Potapov AB. Channels and Jokers: On New Methods For Forecasting The Behavior Of Complex Systems. Preprint, Inst. Appl. Math., the Russian Academy of Science. Moscow; 1998. No. 32 (in Russian).
- Zulpukarov MGM, Malinetski GG, Podlazov AV. The Rosenzweig-Macarthur system analysis as an example of the channels and Jokers method. Preprint, Inst. Appl. Math., the Russian Academy of Science. Moscow; 2006. No. 21. 32 p. (in Russian).
- Gurel G, Gurel O. Oscillations in Chemical Reactions. Berlin: Springer; 1986. 124 p. DOI: 10.1007/3-540-12575-2.
- Malinetskii GG, et al. Risk Management. Risk, Sustainable Development, Synergy. Moscow: Nauka; 2000. 432 p. (in Russian).
- Thejappa G, MacDowall RJ. Ulysses observations of nonlinear wave-wave interactions in the source regions of type III solar radio bursts. Journal of Astrophysics and Astronomy. 2000;21(3):447–450. DOI: 10.1007/BF02702442.
- 2358 reads