Bifurcation of nonlinear normal modes in a class of two degree of freedom systems
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Publication:1310698
zbMath0793.70014MaRDI QIDQ1310698
Publication date: 13 January 1994
Published in: Acta Mechanica (Search for Journal in Brave)
stabilityperturbation analysiscubic nonlinearitiesdegenerate bifurcationMACSYMAuniversal unfoldingapproximative first integralnonlinear forced resonance
Symbolic computation and algebraic computation (68W30) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Stability for nonlinear problems in mechanics (70K20) Nonlinear resonances for nonlinear problems in mechanics (70K30)
Related Items (5)
An invariant manifold approach to nonlinear normal modes of oscillation ⋮ The existence, stability and approximate expressions of periodic solutions of strongly nonlinear nonautonomous systems with multi-degrees-of-freedom ⋮ A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system ⋮ Analytic methods to find beating transitions of asymmetric Gaussian beams in GNLS equations ⋮ Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system
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