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Excerpt from Stability of Hydromagnetic Equilibria Bifurcated From a Straight Sheet Pinch Bifurcation of solutions representing equilibria occurs in many physical problems.1 A well-known example is the buckling of an elastic beam. As the characterizing parameters vary, one family of solutions (the bifurcating equilibria) changes from stable to unstable, and the other family of solutions (the bifurcated equilibria) branches out at the bifurcation point. The bifurcated equilibria are usually of lesser symmetry than the bifurcating equilibria. Since solutions representing stable hydromagnetic equilibria are important in magnetic confinement of a plasma, it is of interest to study the stability of bifurcated hydromagnetic equilibria. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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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