Bifurcation Trees of Period-1 Motions to Chaos in a Two-Degree-of-Freedom, Nonlinear Oscillator
DOI10.1142/S0218127415501795zbMath1330.70077MaRDI QIDQ5744110
Publication date: 17 February 2016
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
harmonic balance methodanalytical dynamicsstability and bifurcationanalytical bifurcation treesperiod-\(m\) motionstwo-degree-of-freedom (2-DOF) nonlinear oscillator
Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Hamilton's equations (70H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Inverse problems involving ordinary differential equations (34A55) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)
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