Modified Lindstedt–Poincare methods for some strongly non-linear oscillations: Part I: expansion of a constant

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Application of Parameter-expanding Method to Strongly Nonlinear Oscillators (2007, unknown): “Parameter-expanding Method Recently parameter-expanding methods [18,20,21] including bookkeeping parameter method[19] and modified Lindstedt-Poincare methods[22-25] have been caught much attention, the parameter expansion can also be applied to homotopy perturbation method[26].”
A NEW PERTURBATION ALGORITHM WITH BETTER CONVERGENCE PROPERTIES: MULTIPLE SCALES LINDSTEDT POINCARE METHOD (2009, methodology): “Among the many developed methods, Linearized perturbation method [4-6], parameter expanding method [7, 8], new time transformations as modifications of Lindstedt-Poincare method [9-11], iteration methods [12, 13] are some examples.”
Nonlinear oscillator with discontinuity by parameter-expansion method (2008, unknown): “In this paper, we apply the parameter-expansion method [18–21] to the problem we are discussing.”
Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: a review (2012, methodology): “Example 2 We consider the following nonlinear oscillator [89];”