Vibrational resonance: a study with high-order word-series averaging
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Publication:4597644
DOI10.21042/AMNS.2016.1.00018zbMath1432.34058arXiv1604.01215MaRDI QIDQ4597644
Jesús María Sanz-Serna, Ander Murua
Publication date: 14 December 2017
Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.01215
Averaging method for ordinary differential equations (34C29) Asymptotic expansions of solutions to ordinary differential equations (34E05) Nonlinear resonances for nonlinear problems in mechanics (70K30)
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Word combinatorics for stochastic differential equations: splitting integrators ⋮ Automatic parameter selection ZVD shaping algorithm for crane vibration suppression based on particle swarm optimisation ⋮ Word series high-order averaging of highly oscillatory differential equations with delay ⋮ Numerical solution of the state-delayed optimal control problems by a fast and accurate finite difference \(\theta\)-method ⋮ Resilient and robust finite-time \(H_\infty\) control for uncertain discrete-time jump nonlinear systems ⋮ High-order stroboscopic averaging methods for highly oscillatory delay problems ⋮ Difference equation based empirical mode decomposition with application to separation enhancement of multi-fault vibration signals ⋮ On the design of full duplex wireless system with chaotic sequences
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