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Higher-Order Complex Periodic Motions in a Nonlinear, Electromagnetically Tuned Mass Damper System

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Publication:5040473
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DOI10.1142/S0218127422501693zbMath1501.70008MaRDI QIDQ5040473

Albert C. J. Luo, Chuan Guo

Publication date: 14 October 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)


zbMATH Keywords

periodic motionsfrequency-amplitude characteristicsbifurcation routeselectromagnetically tuned mass damper system


Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Periodic orbits of vector fields and flows (37C27)




Cites Work

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  • Averaging using elliptic functions: Approximation of limit cycles
  • On Analytical Routes to Chaos in Nonlinear Systems
  • Frequency Analysis of the Tuned Mass Damper
  • ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
  • Analytical Routes to Chaos in Nonlinear Engineering
  • Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
  • Toward Analytical Chaos in Nonlinear Systems
  • An extension to the method of Kryloff and Bogoliuboff†
  • A generalization of the method of harmonic balance
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