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What is Quasiperiodic Solutions in Duffing Equations about?

This document summarizes a new method for finding quasiperiodic solutions of fixed frequencies for the nondissipative second type Duffing equation. The method involves solving a nonlinear partial differential equation for the generating function U(x) of tentative smooth solutions u(t). Specifically: 1) The authors define a Hilbert space P1,2(Tm) of functions U defined on the m-torus Tm that are periodic in each variable and have finite norm. 2) They prove an analogue of the Poincare inequality for the cl

Author
temneanu1962
Language
EN

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