Generalization of the senator-bapat method to systems having limit cycles

@article{Mickens1999GeneralizationOT,
  title={Generalization of the senator-bapat method to systems having limit cycles},
  author={E. Mickens},
  journal={Journal of Sound and Vibration},
  year={1999},
  volume={224},
  pages={167-171}
}
  • E. Mickens
  • Published 1999
  • Mathematics
  • Journal of Sound and Vibration
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Oscillatory systems harmonic balance Lindstedt-Poincare perturbation methods method of Krylov-Bogoliubov-Mitropolsky general second-order systems numerical techniques. Appendices: mathematicalExpand
A Perturbation Technique that Works Even When the Non-Linearity is Not Small
Abstract We extend the Lindstedt-Poincare small non-linearity based perturbation scheme to strongly non-linear systems. The extended technique starts from a physically non-existent neighboring linearExpand
Bounds on the Fourier coefficients for the periodic solutions of non-linear oscillator equations
The differential equations describing nonlinear oscillations (as seen in mechanical vibrations, electronic oscillators, chemical and biochemical reactions, acoustic systems, stellar pulsations, etc.)Expand
A generalization of the method of harmonic balance
A procedure is provided for generalizing the method of harmonic balance to obtain higher-order approximations to the periodic solutions of differential equations for two systems, one a conservativeExpand
Construction of approximate analytical solutions to a new class of non-linear oscillator equation
The principle of harmonic balance is invoked in the development of an approximate analytic model for a class of nonlinear oscillators typified by a mass attached to a stretched wire. By assuming thatExpand