Parametric resonance in magnetic fluids |
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| Affiliation: | 1. Geological Survey of Bangladesh, Segunbagicha, Dhaka, Bangladesh;2. Department of Petroleum Engineering and Applied Geophysics, Norwegian University of Science and Technology (NTNU), Trondheim, Norway;1. 837 NeurDS lab, Neuroscience Institute, Georgia State University, Petit Science Center, 100 Piedmont Av., Atlanta, GA 30303, USA;2. Department of Applied Mathematics, University of Twente, PO Box 217, 7500 AE Enschede, Netherlands;3. Neuroscience Institute and Department of Mathematics and Statistics, Georgia State University, Petit Science Center, 100 Piedmont Av., Atlanta, GA 30303, USA;1. Post-doctorate Research Station of Mechanical Engineering, School of Mechanical Engineering, Tiangong University, Tianjin, 300387, PR China;2. Tianjin Key Laboratory of Advanced Technology of Electrical Engineering and Energy, Tiangong University, Tianjin, 300387, PR China;1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China;2. School of Aerospace Engineering, Shenyang Aerospace University, Liaoning 110136, PR China |
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| Abstract: | A new resonance effect in the nonlinear behaviour of magnetically anisotropic objects in an alternating external magnetic field is proposed. Ferromagnetic particles with a “frozen” magnetic moment (due to a strong magnetic anisotropy), when located in an external alternating magnetic field, are able to rotate (or vibrate) and to transfer energy from the external field to the medium. The numerical solution of the appropriate parametrically driven nonlinear equation shows all types of nonlinear dynamic behaviour, including transition to chaos. The sensitivity of the proposed phenemenon could be used for an experimental analysis of the size distribution of the ferromagnetic particles in a ferrofluid or of the size of “magnetic holes”. |
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