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Updated: Jul 13, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
On the existence of chaotic circumferential waves in spinning disks
Arzhang Angoshtari1, Mir Abbas Jalali
1Center of Excellence in Design, Robotics and Automation, Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567, Azadi Avenue, Tehran, Iran. arzhang_a@mehr.sharif.edu
Abstract:
We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load. We show that the emergence of transverse homoclinic and heteroclinic points lead, respectively, to a random reversal in the traveling direction of circumferential waves and a random phase shift of magnitude pi for both forward and backward wave components. These long-term phenomena occur in imperfect low-speed disks sufficiently far from fundamental resonances.
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