2005, том 5, номер 1

This issue of the Moscow Mathematical Journal is dedicated to Yulij S. Ilyashenko on the occasion of his 60^th birthday.

	Yulij S. Ilyashenko D. V. Anosov, V. I. Arnol'd, A. A. Glutsyuk, A. S. Gorodetski, V. Y. Kaloshin, A. B. Katok, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, S. Yu. Yakovenko		3–4
	Ergodic and arithmetical properties of geometrical progression's dynamics and of its orbits V. I. Arnol'd		5–22
	Tangential version of Hilbert 16th problem for the Abel equation M. Briskin, Y. Yomdin		23–53
	Livsiĉ theory for compact group extensions of hyperbolic systems D. I. Dolgopyat		55–67
	On the monodromy group of confluent linear equations A. A. Glutsyuk		67–90
	Canards at folded nodes J. Guckenheimer, R. Haiduc		91–103
	Parametrizing unstable and very unstable manifolds J. Hubbard		105–124
	A geometric proof of the existence of Whitney stratifications V. Y. Kaloshin		125–133
	Geometrically Markov geodesics on the modular surface S. R. Katok, I. Ugarcovici		135–155
	On the velocities of Lagrangian minimizers K. M. Khanin, D. V. Khmelev, A. N. Sobolevskii		157–169
	Rigidity theorems for generic holomorphic germs of dicritic foliations and vector fields in $(\mathbb C^2,0)$ L. Ortiz-Bobadil'ya, È. Rosales-González, S. M. Voronin		171–206
	Bifurcations of cuspidal loops preserving nilpotent singularities D. Panazzolo, R. Roussarie		207–244
	Modulus of orbital analytic classification for a family unfolding a saddle-node Ch. Rousseau		245–268
	Blue-sky catastrophe in singularly perturbed systems Andrey Shilnikov, Leonid P. Shilnikov, Dmitry Turaev		269–282
	An example of a resonant homoclinic loop of infinite cyclicity D. V. Turaev		283–293
	Vladimir M. Tikhomirov V. I. Arnol'd, A. S. Demidov, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, E. F. Mishchenko, K. Yu. Osipenko, A. B. Sossinski, M. A. Tsfasman, V. A. Uspenskii, M. N. Vyalyi, I. V. Yaschenko, M. I. Zelikin		295