Valentin Afraimovich

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Lua error in package.lua at line 80: module 'strict' not found. Valentin Afraimovich (Russian: Валентин Сендерович Афраймович, born 2 April 1945 in Kirov, Kirov Oblast, USSR) is a Soviet, Russian and Mexican mathematician. He has made contributions to dynamical systems theory, qualitative theory of ordinary differential equations, bifurcation theory, concept of attractor,[1] strange attractors, space-time chaos, mathematical models of nonequilibrium media and biological systems, traveling waves in lattices, complexity of orbits and dimension-like characteristics in dynamical systems.[2]

Biography

He got his Ph.D. (Kandidat) degree in 1974 at the Nizhny Novgorod State University under the advice of L. P. Shil’nikov. Also in 1990 he received his Doctor of Science degree in Mathematics and Physics, at Saratov State University in Russia. Since then he has held several academic positions, including:

Afraimovich's students include Mark Shereshevsky, Nizhny Novgorod 1990; Todd Ray Young, Atlanta, Georgia, 1995; Antonio Morante, San Luis Potosí (SLP) México, 2002; Salomé Murgia, SLP México, 2003; Alberto Cordonet, SLP Mexico, 2002; Francisco Ordaz, SLP Mexico, 2004; Leticia Ramirez, SLP Mexico, 2005; Irma Tristan-Lopez, SLP Mexico, 2010; Rosendo Vazquez-Bañuelos, 2013.

Selected scientific papers

  • Valentin S. Afraimovich, Todd R. Young, Mikhail I. Rabinovich. Hierarchical Heteroclinics in Dynamical Model of Cognitive Processes: Chunking. International Journal of Bifurcation and Chaos Vol. 24, No. 10, 1450132 (2014)
  • V. S. Afraimovich, L. P. Shilnikov. Symbolic Dynamics in Multidimensional Annulus and Chimera States. International Journal of Bifurcation and Chaos. Vol: 24, N: 08 (August 2014) DOI: 10.1142/S0218127414400021, 1440002
  • V. S. Afraimovich, T. Young, M.K. Muezzinglu, M. Rabinovich. Nonlinear Dynamics Of Emotion-Cognition Interaction: When Emotion Does Not Destroy Cognition? Bull Math Biol (2011) 73:266-284. DOI 10.1007/s11538-010-9572-x
  • V. S. Afraimovich, L.A. Bunimovich, S.V. Moreno, Dynamical Networks: Continuous Time and General Discrete Time Models, Regular and Chaotic Dynamics, Vol. 15, 129-147, 2010.
  • V. Afraimovich, L. Glebsky, Measures Related To e,n-Complexity Functions, Discrete And Continuous Dynamical Systems, Vol. 22, N 12. 2008.
  • V. S. Afraimovich, M. Rabinovich, R. Huerta, P. Varona, Transient Cognitive Dynamics, Metastability, and Decision Making, PLOS Computational Biology 04, 05: 1–9. 2008.
  • V. Afraimovich. Some topological properties of lattice dynamical systems, in Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, eds. J.-R. Chazottes and B. Fernandez, Lecture Notes in Physics, Springer 2005, p 153-180.
  • V. Afraimovich, V. Zhigulin and M. Rabinovich, On the origin of reproducible sequential activity in neural circuits, Chaos 14 (2004), 1123–1129.
  • V. Afraimovich, L. Bunimovich and J. Hale, Sistemi dinamici, Storia della Scienza IX, Enciclopedia Italiana 841–850. (2003)[3]
  • V. Afraimovich, G.M. Zaslavsky, Space time complexity in Hamiltonian dynamics, Chaos, 13, 2, (2003), pp. 519–532.
  • V. Afraimovich, J. R. Chazottes and A. Cordonet, Synchronization in directionally coupled systems, Discrete Contin. Dyn. Syst., Ser. B, vol. 1 (2001), 421–442.
  • V. Afraimovich, J.-R. Chazottes and B. Saussol, Local dimensions for Poincare recurrences, Electron.Res.Announc.Amer.Math.Soc., vol.6 (2000), 64–74 [4][5]
  • V. Afraimovich and T. Young, Relative density of irrational rotation numbers in families of circle di eomorphisms. Ergodic theory and dynamical systems, 18 (1998), 1–16.
  • V. Afraimovich and S-N. Chow, Topological spatial chaos and homoclinic points of Z-d actions in lattice dynamical systems, Japan J. Indust.Appl. Math. 12 1995, 1–17.
  • V. Afraimovich, S.-N. Chow and W. Liu, Lorenz type attractors from codimensional-one bifurcation, J. of Dynamics and Differential Equations, 7 (2), 1995, 375–407.
  • V. Afraimovich and V.I. Nekorkin, Chaos of traveling waves in a discrete chain of di usively coupled maps, International Journal of Bifurcation and Chaos, 4 (3) (1994).
  • V. Afraimovich and Ya. Pesin, Hyperbolicity of infinite-dimensional drift systems, Nonlinearity, 3 (1990), 1–19.
  • V. Afraimovich, N.N. Verichev and M.I. Rabinovich, Stochastic synchronization of oscillations in dissipative systems, Radio zika, 29 (9), 1050–1060 (1986) (in Russian).
  • V. Afraimovich, V.V. Bykov and L.P. Shil'nikov, On attracting nonstructurally stable limiting sets of the type of Lorenz attractor, Trans. of Moscow Math. Soc., 44 (1982).
  • V. Afraimovich and L.P. Shil'nikov, On critical sets of Morse–Smale systems, Trans. Moscow Math. Soc., 28 (1973).

Selected bibliography

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See also

References

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External links


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