Editors' preliminaries. I: Mathematical models for nonlinear phenomena and properties (kinetic and dynamic processes, mass and heat transfer). Temperature jump and weak evaporation in a polyatomic gas; A.V. Latyshev, A.A. Yushkanov. Evolution of the dynamic dissipative systems as a temporal `colour' fractal; S.F. Timashev, et al. Existence of solutions and dynamical models of Chandrasekhar H-equations; J. Chen, et al. Fluid dynamic limit of the Boltzmann kinetic equation arising in the coagulation-fragmentation dynamics; P.B.Dubovskii. Necessary and sufficient conditions for solvability of the initial boundry value transport problem; V.P. Shutyaev. Solitary waves in two-component resonantly absorbing media; Y.V. Kistenev, A.V. Shapovalov. Nonlinear vector model of the internal DNA dynamics; L.V. Yakushevich. The dynamics of the economic society structure; D.S. Chernavskii, et al. Mathematical model for the heat mass transfer in the systems with the nonlinear properties induced by the electromagnetic radiation; L.A. Uvarova. Mathematical model nonlinear heat transfer in an inhomogeneous dispersible system; M.A. Smirnova. II: Numerical methods and computer simulations. Unsteady viscous flow simulation based on QGD system; B.N. Chetverushkin, E.V. Shilnikov. Ecological after-effects numerical modelling under methane combustion; B.N Chetverushkin, et al. Computer simulation of evaporation process into the vacuum; L.V. Plentnev, et al. On oscillation and nonoscillation domains for difference Riccati equation; J.V. Elyseeva. III: Nonlinear phenomena in physics. Dusty particle interaction in plasma placed in magnetic field; A.P. Nefedov, V.D. Lakhno. Tunnel transport of electrons at anharmonicaccepting mode; D.S. Cernavskii, et al. Atomic operator formalism of elementary gates for quantum computation and impurity-induced exciton quantum gates; Sh. Takeno, H. Matsueda. Nonlinear spin waves and magnet- acoustic resonance in the model of heisenberg magnet; Kh.Kh. Muminov, V.K. Fedyanin. Modeling of 2d electron emission from silicone microcathode; V.A. Ferdirko, S.V. Polyakov. Echo-phenomenon in ferroelectric solid and liquid crystals; S.S. Lapushkin, A.R. Kessel. Investigations of blistering in solids using stochastic model; A.L. Bondareva, G.I. Zmievskaya. Electric potentials distribution for particles located in solution; N.I. Gamayunov. Statement and solution of a boundary value problem ina model of a plasms generator as controlled system; Yu.G. Ionov, A.Yu. Ionov. IV: Nonlinear models in chemical physics and physical chemistry. Complex representation of dynamics of coupled nonlinear oscillators L.I. Manevich. Conducting channels structure and dielectric-metal switching stability in thin amorphous films; E.S. Shikhovtseva. Phenomenological description for process of multiple disintegration of solids under intensive stress action such as compression & shear; A.E. Arinstein. Vaporisation and growth of aerosol particles, given internal heat release and radiant heat exchange; A.B. Nadykto, E.R. Shchukin. Vaporisation and growth of large and moderately large particles at considerable differences of gaseous component concentrations; E.R. Shchukin, A.B. Nadykto. Diffusive vaporization and growth of assembly of N-large particles; E.R. Shchukin, A.S. Nadykto Analysis of the phenomenon of autoaccelaeration in free radical polymerization; V.A. Kaminsky, M.V.Egorov. Quantum-chemical models for