## Progress in Nonlinear Science: Proceedings of the International Conference Dedicated to the 100th Anniversary of A. A. Andronov, Nizhny Novgorod, Russia, July 2-6, 2001. Mathematical problems of nonlinear dynamicsLev M. Lerman |

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### Contents

INVITED PAPERS | |

Gonchenko L P Shilnikov and 0 V Stenkin On Newhouse regions | |

Lurie system | |

Copyright | |

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analytic Applied approximation assume asymptotic attractor bifurcation bounded called closed completely compute condition connected consider constant construct contains continuous coordinates corresponding curve cycle defined definition Denote depend diffeomorphism differential directional domain dynamical systems e-mail entropy equal equation example existence fact factor Figure finite fixed points formula function give given global Hamiltonian heteroclinic homoclinic hyperbolic initial integral intersection interval introduce invariant Lemma limit linear manifold Math Mathematics means method Moscow neighbourhood Nizhny Novgorod nonlinear normal Note obtain parameter periodic orbits perturbation phase plane positive problem proof properties Proposition proved References regions relations resonance respectively Russia saddle satisfies separatrix singular point smooth solution space stable sufficiently surface symmetric tangency theorem theory topological trajectory transformation University unstable values variables vector field zero