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References
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[2] |
Gendelman, O. V., “Transition of Energy to a Nonlinear Localized Mode in a Highly Asymmetric System of Two Oscillators”, Nonlinear Dyn., 25:1–3 (2001), 237–253 |
[3] |
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[4] |
Gendelman, O. V., Manevitch, L. I., Vakakis, A. F., and M'Closkey, R., “Energy Pumping in Nonlinear Mechanical Oscillators: Part 1. Dynamics of the Underlying Hamiltonian Systems”, J. Appl. Mech., 68:1 (2001), 34–41 |
[5] |
Vakakis, A. F., Gendelman, O. V., Bergman, L. A., McFarland, D. M., Kerschen, G., and Lee, Y. S., Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems, Springer, Dordrecht, 2009 |
[6] |
Manevitch, L. I., Kovaleva, A., Smirnov, V., and Starosvetsky, Yu., “Quasi-One-Dimensional Nonlinear Lattices”, Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures, Springer, Singapore, 2018, 85–140 |
[7] |
Gourdon, E., Lamarque, C.-H., and Pernot, S., “Contribution to Efficiency of Irreversible Passive Energy Pumping with a Strong Nonlinear Attachment”, Nonlinear Dyn., 50:4 (2007), 793–808 |
[8] |
Jiang, X., McFarland, D. M., Bergman, L. A., and Vakakis, A. F., “Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results”, Nonlinear Dyn., 33:1 (2003), 87–102 |
[9] |
Koroleva (Kikot), I. P. and Manevitch, L. I., “Oscillatory Chain with Grounding Support in Conditions of Acoustic Vacuum”, Nelin. Dinam., 11:3 (2015), 487–502 (Russian) |
[10] |
Manevitch, L. I. and Koroleva, I. P., “Limiting Phase Trajectories As an Alternative to Nonlinear Normal Modes”, Proc. IUTAM, 19 (2016), 144–151 |
[11] |
Smirnov, V. V. and Manevitch, L. I., “Forced Oscillations of the String under Conditions of Sonic Vacuum”, Philos. Trans. Royal Soc. A, 2018 (to appear) |
[12] |
Manevitch, L. I. and Vakakis, A. F., “Nonlinear Oscillatory Acoustic Vacuum”, SIAM J. Appl. Math., 74:6 (2014), 1742–1762 |
[13] |
Koroleva (Kikot), I. P., Manevitch, L. I., and Vakakis, A. F., “Non-Stationary Resonance Dynamics of a Nonlinear Sonic Vacuum with Grounding Supports”, J. Sound Vibration, 357 (2015), 349–364 |