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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.

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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.

Dynamical Systems

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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    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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