Stable Harmonic and Subharmonic Oscillations of a System With Piecewise Linear Restoring Forces

Stability and bifurcation analysis for oscillators with motion limiting constraints

This survey paper presents a comprehensive review of work in the field of non-linear oscillations. A brief discussion of second-order systems is followed by a presentation of exact criteria, approximate analytical methods and computational techniques for limit cycles in single variable systems. Multivariate systems are then covered from an analogous viewpoint which allows the reader to clearly identify both how single variable methods have been extended and the possibilities for further research. Particular emphasis is placed on describing function methods since it is believed that, where exact solutions are not possible, the approach may not only give approximate solutions but provides good insight for further computational or simulation studies. The coverage is essentially restricted to continuous lumped parameter systems and includes both free and forced oscillations. Several applications of the theories in various fields of engineering and science are discussed and indicate the broad interest in non-l...

Stable Harmonic and Subharmonic Oscillations of a System With Piecewise Linear Restoring Forces

Citations

Stability and bifurcation analysis for oscillators with motion limiting constraints

A survey on non-linear oscillations

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