Moser and a preface by M. Morse, Sur quelques courbes fermees remarquables. Cartwright and J. London Math. Chirikov , Resonance processes in magnetic traps, "At. Energy Part C: Plasma Phys. Chirikov, A universal instability of many-dimensional oscillator systems, "Phys. Diacu and P. Quantitative universality for a class of nonlinear transformations. Guckenheimer and P. Gurel and O. Bifurcation Theory and Applications in the Scientific Disciplines. New York Acad Sci. Vol , New York, Hayashi, Y.

Ueda, N. Akamatsu and H. On the behavior of self-oscillatory systems with external force. Hirsch, S. Smale and R.

### Monographs, contributions to books

Ninety plus thirty years of nonlinear dynamics: More is different and less is more. Bifurcation and Chaos , 15 9 , , Berichte Math. Leipzig Math.

Katok and B. Introduction to the Modern Theory of Dynamical Systems. The stable, center stable, center, center unstable, and unstable manifolds.

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In Proc. International Congress of Mathematicians, Amsterdam, , vol. I, pp — North-Holland, Amsterdam, Elements of Applied Bifurcation Theory third edition. Differential Equations: Geometric Theory. Interscience Publishers, New York, A second-order differential equation with singular solutions.

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Annals of Mathematics , 50, —, Lichtenberg and M. Lieberman Regular and Chaotic dynamics. Springer, Berlin-New York, On the stability of the center for time-periodic perturbations. Moscow Math. On invariant curves of area-preserving mappings of an annulus.

Stable and Random Motions in Dynamical Systems. Nemytskii and V. Qualitative Theory of Differential Equations tr. Structural stability on two-dimensional manifolds. Topology , 1, , A reduction principle in the theory of the stability of motion.

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- Geht uns aus der Sonne. (German Edition);
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SSSR , Mat. Acta Mathematica , 13, 1—, Gauthiers-Villars, Paris, , , English translation edited by D. Ruelle and F. On the nature of turbulence. Classical dynamical systems with countable multiplicity Lebesgue spectrum, I.

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Izvestia Acd. USSR, Mat. Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards. Russian Math. Surveys , 25 2 , , E 74, Karlin, Invariance correction to Grad's equations: Where to go beyond approximations?

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Continuum Mechanics and Thermodynamics, 17 4 , —,. Popova, A. Zinovyev, Four basic symmetry types in the universal 7-cluster structure of microbial genomic sequences, In Silico Biology, 5 , Gorban, P. Non-Newtonian Fluid Mech. Zinovyev, Constructive methods of invariant manifolds for kinetic problems, Physics Reports, V. Zinovyev, Invariant grids for reaction kinetics, Physica A, , Karlin, Uniqueness of thermodynamic projector and kinetic basis of molecular individualism, Physica A, , , Popova, and A. Zinovyev: Self-organizing approach for automated gene identification.

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## A viscous quantum hydrodynamics model based on dynamic density functional theory

Information Dyn. Gorban and I. Karlin, Family of additive entropy functions out of thermodynamic limit, Phys. Karlin and H.

Ottinger, The additive generalization of the Boltzmann entropy. E-print: http:, arXiv.

Karlin, Method of invariant manifold for chemical kinetics. Karlin, L. Tatarinova, A. Gorban, and H. Zinovyev, T. Seven clusters in genomic triplet distributions. In Silico Biology. G Popova, M. G Sadovsky, Classification of nucleotide sequences over their frequency dictionaries reveals a relation between the structure of sequences and taxonomy of their bearers, Zh Obshch Biol 64 1 , Gorban', Braverman M.

Modelling 35 , No. Gorban', Silantyev V.