Nonlinear dynamics of geo-medium: transitional processes and critical phenomena


  • V. Shuman S.I. Subbotin Institute of Geophysics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine



nonlinear geodynamics, transients, seismic, electromagnetic emission, metastable, stable transitions


Within the limits of established views on geo-medium as an open nonlinear active   hierarchically-heterogeneous system, an attempt has been made to analyze the processes in geo-systems. It has been noticed that the spontaneous seismo-acoustic and electromagnetic noise of lithospheric origin is a universal effect, produced by presence of diffusion. It is essential that spontaneous noise can be interpreted in terms of auto-vibrations, with characteristics determined by parameters of geo-medium. The problems of synergetics of the system are under consideration, as well as the role of chaos, including the weak one, in their behavior. Transitional dynamics of geo-systems is analyzed and the criteria of proximity of bifurcation of stationary regime. The fundamental property of geo-systems is accentuated – the presence of the stage of preparation of seismic events that is the evidence of reality of their forecast. However its realization is related to installation of adequate monitoring observation systems and methods of their processing while geophysicists are not ready yet. It is noticed that the solution of the problem of seismic events forecast is evidently connected with the results of projects but not the problems, which are usually tried to be solved within the limits of old but not new ideas.


Anishchenko V. S., Vadivasova T. E., Strelkova G. I., 2010. Self-sustained oscillations of dynamical stochastic systems and their mathematical image — an attractor. Nelineynaya dinamika 6(1), 107—126 (in Russian).

Vasil’ev V. A., Romanovskiy Yu. M., Yakhno V. G., 1979. Autowave processes in distributed kinetic systems. Uspehi fizicheskih nauk 128(is. 4), 625—666 (in Russian).

Gul’iel’mi A. V., Sobisevich L. E., Sobisevich A. L., Lavrov I. P., 2014. About foreshocks strong earthquakes. Fizika Zemli (4), 43—49 (in Russian).

Gufeld I. L., 2013. Is it possible to forecast strong crustal earthquakes? Vestnik RAN 83(3), 236—245 (in Russian).

Gufeld I. L., 2007. The seismic process. Physical and chemical aspects. Research publication. Korolev:TSNIIMash, 160 p. (in Russian).

Gufeld I. L., Matveeva M. I., Novoselov O. N., 2011. Why can not we implement forecast strong crustal earthquakes. Geodinamika i tektonofizika 2(4), 378—415 (in Russian).

Dyson F., 2010. Birds and frogs in mathematics and physics. Uspehi fizicheskih nauk 180(8), 859—870 (in Russian).

Danilenko V. A., 2010. Self shock waves in geomedia with spatial nonlocality. GeoInformatika (2), 39—45 (in Ukrainian).

Dmitrievskiy A. N., Volodin I. A., 2006. Formation and dynamics of energy active zones in the geological environment. Doklady RAN 411(3), 395—399 (in Russian).

Zakharov V. S., 2014. Self-similarity of the structures and processes in the lithosphere on the results of the fractal and dynamic analysis: Author's abstract. Dr. geol.-min. sci. dis. Moscow, 35 p. (in Russian).

Zosimov V. V., Lyamshev L. M., 1995. Fractal in wave processes. Uspehi fizicheskih nauk 165 (4). 364—401 (in Russian).

Izakov M. N., 1997. Selforganisation and information for planets and ecosystems. Uspehi fizicheskih nauk 167 (10), 1087—1094 (in Russian).

Klin’shov V. V., Nekorkin V. I., 2013. Synchronization of delay-coupled oscillator networks. Uspehi fizicheskih nauk 183(12), 1323 — 1336 (in Russian).

Koronovskiy N., Naymark A., 2013. Earthquakes: Is it possible to forecast. Nauka i zhizn (3), 37—43 (in Russian).

Levin B. V., Rodkin M. V., 2011. The Great Japanese Earthquake. Priroda (10), 14—22 (in Russian).

Letnikov F. A., 2011. Synergistic aspects of the geological evolution of the Earth. Izvestiya Tomskogo politehnicheskogo universiteta 319(1), 6—11 (in Russian).

Loskutov A. Yu., 2007. Dynamical chaos. Systems of classical mechanics. Uspehi fizicheskih nauk 177 (9), 989—1015 (in Russian).

Loskutov A. Yu., 2010. Fascination of chaos. Uspehi fizicheskih nauk 180(2), 1305—1329 (in Russian).

Loskutov E. M., 2013. Empirical reconstruction of dynamical systems: the construction and optimization of prediction models: Author's abstract. Dr. phys.-math. sci. dis. Nizhny Novgorod, 27 p. (in Russian).

Lyubushin A. A., 2011. Forecast great Japanese earthquake and the singularity of seismic noise. (in Russian). loard/russian nature journal.pdf.

Makarov P. V., 2012. Capabilities of modern methods of geomechanical modeling as applied to the earth sciences. Moscow: IPE, (in Russian).

Nekorkin V. I., Bezruchko B. P., Ponomarenko V. I., Prokhorov M. D., Smirnov D. A., Tass P. A., 2008. Methods of wave-based physics in neuroscience problems and applications. Uspehi fizicheskih nauk 178(3), 323—329 (in Russian).

Panin V. E., EgorushkinV. E., Panin A. V., 2012. Nonlinear wave processes in a deformable solid as in a multiscale hierarchically organized system. Uspehi fizicheskih nauk 182(12), 1351—1357 (in Russian).

Panteleev I. A., Plekhov O. A., Naymark O. B., 2013a. Model of geomedia containing defects: collective effects of defects evolution during formation of potential earthquake foci. Geodinamika i tektonofizika 4(1), 37 — 51 (in Russian).

Panteleev I. A., Plekhov O. A., Naymark O. B., 2013b. Nonlinear dynamics of structures exacerbation in ensembles of defects as a mechanism for the formation of foci of earthquakes. Fizika Zemli (6), 43—55 (in Russian).

Psakhie S. G., 2013. A multi-level Approach to the Modeling of Deformation and Destruction Processes.) Vestnik RAN 83(5), 398—406 (in Russian).

Rabinovich M. I., Myuezinoglu M. K., 2010. Nonlinear dynamics of the brain: emotion and cognition. Uspehi fizicheskih nauk 180(4), 371–387 (in Russian).

Rodkin M. V., 2008. Forecast unpredictable disasters. Vokrug sveta (6), 64—73 (in Russian).

Rumanov E. N., 2013. Critical phenomena far from equilibrium. Uspehi fizicheskih nauk

(1), 103—112 (in Russian).

Status of research on earthquake prediction in the Baikal region, 2013. Innovation center of the Institute of Earth's Crust. Irkutsk.

Spivak L. V., 2008. Synergy effects in the deformation response of thermodynamically open metal – hydrogen systems Uspehi fizicheskih nauk 178(9), 897—922 (in Russian).

Shapoval A. B., 2011. Questions predictability in the isotropic model with self-organized criticality: Author's abstract. Dr. phys.-math. sci. dis. Moscow, 35 p.(in Russian).

Shuman V. N., 2012. Electromagnetic emission of the lithosphere: Do we always adequately interpret what seemed to know? Geofizicheskiy zhurnal 34(2), 4—19 (in Russian).

Shuman V. N., 2014a. On predictability seismic process. Geofizicheskiy zhurnal 36(3), 48—71 (in Russian).

Shuman V. N., 2014b. Seismic processes and advanced monitoring systems. Geofizicheskiy zhurnal 36(4), 50—64 (in Russian).



How to Cite

Shuman, V. (2014). Nonlinear dynamics of geo-medium: transitional processes and critical phenomena. Geofizicheskiy Zhurnal, 36(6), 129–142.