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within J. H. Shen Remove this filter Vibration, Dynamical Systems, Control Remove this filter

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  1. No Access

    Article

    A new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dynamical systems

    By introducing a new parametric transformation and a suitable nonlinear frequency expansion, the modified Lindstedt–Poincaré method is extended to derive analytical approximations for limit cycles in three-dim...

    S. H. Chen, J. H. Shen, K. Y. Sze in Nonlinear Dynamics (2009)

  2. No Access

    Article

    Bifurcation and route-to-chaos analyses for Mathieu–Duffing oscillator by the incremental harmonic balance method

    Bifurcations and route to chaos of the Mathieu–Duffing oscillator are investigated by the incremental harmonic balance (IHB) procedure. A new scheme for selecting the initial value conditions is presented for...

    J. H. Shen, K. C. Lin, S. H. Chen, K. Y. Sze in Nonlinear Dynamics (2008)