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Some elements for a history of the dynamical systems theory.
Letellier C, Abraham R, Shepelyansky DL, Rössler OE, Holmes P, Lozi R, Glass L, Pikovsky A, Olsen LF, Tsuda I, Grebogi C, Parlitz U, Gilmore R, Pecora LM, Carroll TL. Letellier C, et al. Among authors: shepelyansky dl. Chaos. 2021 May;31(5):053110. doi: 10.1063/5.0047851. Chaos. 2021. PMID: 34240941
Destruction of Anderson localization by a weak nonlinearity.
Pikovsky AS, Shepelyansky DL. Pikovsky AS, et al. Among authors: shepelyansky dl. Phys Rev Lett. 2008 Mar 7;100(9):094101. doi: 10.1103/PhysRevLett.100.094101. Epub 2008 Mar 4. Phys Rev Lett. 2008. PMID: 18352712
Dynamical thermalization of disordered nonlinear lattices.
Mulansky M, Ahnert K, Pikovsky A, Shepelyansky DL. Mulansky M, et al. Among authors: shepelyansky dl. Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Nov;80(5 Pt 2):056212. doi: 10.1103/PhysRevE.80.056212. Epub 2009 Nov 24. Phys Rev E Stat Nonlin Soft Matter Phys. 2009. PMID: 20365065
Quantum vacuum of strongly nonlinear lattices.
Zhirov OV, Pikovsky AS, Shepelyansky DL. Zhirov OV, et al. Among authors: shepelyansky dl. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jan;83(1 Pt 2):016202. doi: 10.1103/PhysRevE.83.016202. Epub 2011 Jan 3. Phys Rev E Stat Nonlin Soft Matter Phys. 2011. PMID: 21405755
Dynamical thermalization in Bose-Hubbard systems.
Schlagheck P, Shepelyansky DL. Schlagheck P, et al. Among authors: shepelyansky dl. Phys Rev E. 2016 Jan;93(1):012126. doi: 10.1103/PhysRevE.93.012126. Epub 2016 Jan 19. Phys Rev E. 2016. PMID: 26871043
Nonlinear Perturbation of Random Matrix Theory.
Frahm KM, Shepelyansky DL. Frahm KM, et al. Among authors: shepelyansky dl. Phys Rev Lett. 2023 Aug 18;131(7):077201. doi: 10.1103/PhysRevLett.131.077201. Phys Rev Lett. 2023. PMID: 37656840
Delocalization induced by nonlinearity in systems with disorder.
García-Mata I, Shepelyansky DL. García-Mata I, et al. Among authors: shepelyansky dl. Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Feb;79(2 Pt 2):026205. doi: 10.1103/PhysRevE.79.026205. Epub 2009 Feb 6. Phys Rev E Stat Nonlin Soft Matter Phys. 2009. PMID: 19391818
Google matrix, dynamical attractors, and Ulam networks.
Shepelyansky DL, Zhirov OV. Shepelyansky DL, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Mar;81(3 Pt 2):036213. doi: 10.1103/PhysRevE.81.036213. Epub 2010 Mar 16. Phys Rev E Stat Nonlin Soft Matter Phys. 2010. PMID: 20365838
89 results