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 MATHEMATICS Singular effects in chaotic dynamical systemsM. L. Blank 7 Optimality conditions for implicit controlled systemsE. N. Devdariani, Yu. S. Ledyaev 11 When the intersection of the supports of an analytic functional is a supportS. V. Znamenskii, Yu. B. Zelinskii 16 Construction of a solution of the generalized Lyapunov equationV. B. Larin 19 CYBERNETICS AND THE REGULATION THEORY Estimates for the complexity of combinatorial optimization problems in a class of algorithmsV. A. Bondarenko 22 Enumeration in the reconstruction of the behavior of automataA. A. Sytnik 25 MECHANICS On a variant of the kinematic method in shakedown theoryYa. A. Kamenyarzh, A. G. Merzlyakov 27 GEOPHYSICS Interaction of interplanetary shock with elongated structures of the Earth's magnetosphereP. E. Aleksandrov 31 Nonlinear waves in porous saturated mediaV. G. Bykov, V. N. Nikolaevskii 35 Radiogenic gases in lithosphere dynamicI. L. Gufel'd, M. I. Matveeva, R. A. Lyutikov, V. I. Savin 39 The effect of the long-deeped channel in shallow waterI. V. Nemtchinov, S. P. Popov 43 MATHEMATICAL PHYSICS Statistical interpretation of $p$-adic-valued quantum field theoryA. Yu. Khrennikov 46 PHYSICS Photocounts as a manifestation of the Coulomb instability of the electron flow at its low densityV. P. Bykov, A. V. Gerasimov 50 Calculation of the energy of excited electronic states of $\mathrm{H}_2$ moleculeB. A. Nadykto 53