«Izvestiya VUZ. AND», 2017, Vol. 24, Iss. 4 Full Text (PDF): pnd_1016_4.pdf Content Review of Actual Problems of Nonlinear Dynamics Anikin V. M., Arkadaksky S. S., Kuptsov S. N., Remizov А. S. POLYNOMIAL EIGENFUCTIONS OF THE PERRON–FROBENIUS OPERATOR 6 Autowaves. Self-organization Kiyashko S. V., Nazarovsky А. V. DYNAMICS OF ROLL DOMAINS AND THE FORMATION OF STRUCTURES OF PARTICLES IN PARAMETRIC EXCITATION OF CAPILLARY WAVES 17 Podlazov А. V. CLASSICAL TWO-DIMENSIONAL SANDPILE MODELS 39 Applied Problems of Nonlinear Oscillation and Wave Theory Zemlyanukhin A. I., Bochkarev A. V. CONTINUED FRACTIONS, THE PERTURBATION METHOD AND EXACT SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS 71 Sysoev I. V. COMPARISON OF NUMERICAL REALISATION OF ALGORITHM OF MUTUAL INFORMATION CALCULATION BASED ON NEAREST NEIGHBOURS 86