Tilted excitation implies odd periodic resonances
| Autor: | Murilo S. Baptista, Gabriela Depetri, José Carlos Sartorelli, Boris Marin |
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| Rok vydání: | 2016 |
| Předmět: |
Physics
J.2 Subharmonic function Operations research Resonance FOS: Physical sciences Parameter space Nonlinear Sciences - Chaotic Dynamics 01 natural sciences Symmetry (physics) 010305 fluids & plasmas 70H99 70K28 Quantum mechanics Excited state 0103 physical sciences Torque Point (geometry) Chaotic Dynamics (nlin.CD) 010301 acoustics Excitation |
| DOI: | 10.48550/arxiv.1603.00819 |
| Popis: | Our aim is to unveil how resonances of parametric systems are affected when symmetry is broken. We showed numerically and experimentally that odd resonances indeed come about when the pendulum is excited along a tilted direction. Applying the Melnikov subharmonic function, we not only determined analytically the loci of saddle-node bifurcations delimiting resonance regions in parameter space, but also explained these observations by demonstrating that, under the Melnikov method point of view, odd resonances arise due to an extra torque that appears in the asymmetric case. Comment: 8 pages, 5 figures |
| Databáze: | OpenAIRE |
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