The modified Lindstedt–Poincare method for solving quadratic nonlinear oscillators by Ismot A Yeasmin, MS Rahman, MS Alam

“…Earlier, introducing a small parameter to the frequency series, Cheung et al. modified the Lindstedt–Poincare method and used it to solve strong nonlinear oscillators including a quadratic oscillator. …”
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Generalization of the modified Lindstedt-Poincare method for solving some strong nonlinear oscillators by M.S. Alam, I.A. Yeasmin, Md.S. Ahamed

“…The modified Lindstedt-Poincare method has been generalized for solving strongly nonlinear oscillators. …”
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A new modified Lindstedt–Poincare method for nonlinear damped forced oscillations by M.Z. Alam, Md. Alal Hosen, M.S. Alam

Subjects: “…Modified Lindstedt–Poincare method…”
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A Simplified Lindstedt-Poincaré Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations by Chein-Shan Liu, Yung-Wei Chen

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The Application of the Modified Lindstedt–Poincaré Method to Solve the Nonlinear Vibration Problem of Exponentially Graded Laminated Plates on Elastic Foundations by Mahmure Avey, Francesco Tornabene, Nigar Mahar Aslanova, Abdullah H. Sofiyev

“…NL partial differential equations are reduced to NL ordinary differential equations by the Galerkin method and solved by using the modified Lindstedt–Poincaré method to obtain unique amplitude-dependent expressions for the NL frequency. …”
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Faster Convergent Modified Lindstedt-Poincare Solution of Nonlinear Oscillators by Md. Nazmul Sharif, İ. A. Yeasmin, M. S. Alam

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Analysis of motion in RTBP with variable mass based on Loglogistic distribution by Fabao Gao, Yun Feng, Ruifang Wang, Elbaz I. Abouelmagd

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Approximation Solution of the Nonlinear Circular Sitnikov Restricted Four–Body Problem by Reena Kumari, Ashok Kumar Pal, Elbaz I. Abouelmagd, Sawsan Alhowaity

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Solutions of the Sitnikov's circular restricted three body problems when primaries are oblate spheroid by RR Thapa, MR Hassan

Subjects: “…Lindstedt poincare method…”
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Size-dependent nonlinear vibration analysis of nanobeam embedded in multi-layer elastic media and subjected to electromechanical and thermomagnetic loadings by Sobamowo Gbeminiyi Musibau

Subjects: “…multiple scales lindstedt-poincare method…”
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Combination of modified Lindstedt-Poincare and homotopy perturbation methods by M S Alam, Nazmul Sharif, Md Helal Uddin Molla

“…The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than usual homotopy perturbation methods. …”
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The Equivalent Linearization Method with a Weighted Averaging for Analyzing of Nonlinear Vibrating Systems by N. D. Anh, N. Q. Hai, D. V. Hieu

“…The results obtained via this method are compared with the ones achieved by the Min-Max Approach (MMA), the Modified Lindstedt - Poincare Method (MLPM), the Parameter - Expansion Method (PEM), the Homotopy Perturbation Method (HPM) and 4th order Runge-Kutta method. …”
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Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory by Xue Ji

“…Moreover, the nonlinear free vibration behaviors are also investigated by combining the Galerkin method and Lindstedt–Poincaré Method. The flexoelectric effect and stiffening effect of strain gradient are revealed. …”
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Halo Orbits under Some Perturbations in cr3bp by Abdulrahman B. Albidah, Abdullah

“…In the circular restricted three-body problem (cr3bp), two bigger bodies (known as primary and secondary or sometime only primaries) are placed at either side of the origin on abscissa while moving in circular orbits around their common center of mass (here origin), while the third body (known as smallest body or infinitesimal body or test particle) is moving in space and varies its mass according to Jeans law. Using the Lindstedt–Poincaré method, we determine equations of motion and their solutions under various perturbations. …”
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Study Neo-Hookean and Yeoh Hyper-Elastic Models in Dielectric Elastomer-Based Micro-Beam Resonators by Saeed Danaee Barforooshi, Ardeshir Karami Mohammadi

“…Governing equation in Yeoh model is solved by analytical Lindstedt-Poincare method. Time history of micro-beam is presented in different modes and it is shown good agreement with numerical method. …”
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The Main Problem of Lunar Orbit Revisited by Bo-Sheng Li, Xi-Yun Hou

“…A novel algorithm based on the Lindstedt–Poincaré method is proposed to construct an analytical solution of the lunar orbit. …”
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Transient Response Sensitivity Analysis of Localized Nonlinear Structure Using Direct Differentiation Method by Zhifu Cao, Jianyao Yao, Zichu Jia, Daosen Liang

“…The comparisons among the finite difference method (FDM), the Poincaré method (PCM), the Lindstedt–Poincaré method (LPM), and the proposed method are conducted. …”
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Modified multiple time scale method for solving strongly nonlinear damped forced vibration systems by M.A. Razzak, M.Z. Alam, M.N. Sharif

“…The classical multiple time scale (MS) and multiple scales Lindstedt-Poincare method (MSLP) do not give desire result for the strongly damped forced vibration systems with strong damping effects. …”
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