Resonances, Averaging, and Normal Forms

Normal Forms and Averaging Reduction for Nonlinear Dynamical Systems with Varying Nonperiodic Coefficients

Mark A. Pinsky, Gregory Babe and Irene Shumyatsky, University of Nevada, Reno

Resonance Overlap of Tesseral Harmonics in the Artifical Earth Satellite Problem

Todd A. Ely and K.C. Howell, Purdue University, West Lafayette

Chaos in Systems with Quadratic Nonlinearities

Bappaditya Banerjee and Anil K. Bajaj, Purdue University, West Lafayette

N-body Problem: Resonances and Parade of Planets

Valentin N. Tkhai, Moscow State Academy of Instrument-Making and Computer Science, Russia

Zero-Dispersion Nonlinear Resonance

Stanislav M. Soskin, Ukrainian Academy of Science, Ukraine

The Program of the Birkhoff-Gustavson Normalization for Two-dimensional Conservative Hamiltonian System

N.A. Chekanov, Kharkov Institute for Physics and Technology, Ukraine; B.L. Markovski, V.A. Rostovtsev and S.I. Vinitsky, Joint Institute for Nuclear Research, Russia; and V. Basios, International Solvay Institute for Physics and Chemistry, Belgium

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3/15/95