Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Nonlinear field instability and chaos in magnetic fluids


Authors: S. K. Malik and M. Singh
Journal: Quart. Appl. Math. 51 (1993), 519-534
MSC: Primary 76E25; Secondary 34C37, 76W05
DOI: https://doi.org/10.1090/qam/1233527
MathSciNet review: MR1233527
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Abstract: We study the nonlinear dynamics of normal field instability in a ferrofluid under the influence of a uniform magnetic field. In addition, a small normal sinusoidal magnetic field is superimposed on the system. An equation governing the evolution of small but finite amplitude is obtained. Applying the Melnikov method, it is shown that there exist transverse homoclinic orbits leading to chaotic motions.


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DOI: https://doi.org/10.1090/qam/1233527
Article copyright: © Copyright 1993 American Mathematical Society


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