Excerpt from Introduction to Non-Linear Topological Methods, Analytical Methods, Non-Linear Resonance, Relaxation OscillationsThe spring constant in this case does not remain constant but diminishes with increasing 9. In this manner we obtain a more nearly correct representation of the motion. By retaining a greater number of terms in the power expansion of sin 0 we obtain still greater accuracy but the problem becomes more com plicated. In practice even the first approximation [3] gives an error of less than 1 per cent for angles of the order of 30 degrees.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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