On Periodic Motions in a Time-Delayed, Quadratic Nonlinear Oscillator with Excitation

DOI10.1007/978-3-319-26630-5_2zbMath1419.34225OpenAlexW2467342760MaRDI QIDQ5223303

Albert C. J. Luo, Hanxiang Jin

Publication date: 17 July 2019

Published in: Mathematical Modeling and Applications in Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-26630-5_2

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Theoretical approximation of solutions to functional-differential equations (34K07) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Cites Work

• Averaging using elliptic functions: Approximation of limit cycles
• Bifurcation Trees of Period-m Motions to Chaos in a Time-Delayed, Quadratic Nonlinear Oscillator under a Periodic Excitation
• ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
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