Homotopy perturbation method for a conservative x1/3 force nonlinear oscillator
暂无分享,去创建一个
[1] Ji-Huan He. SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .
[2] Ji-Huan He,et al. HOMOTOPY PERTURBATION METHOD FOR THE SOLUTION OF THE ELECTROSTATIC POTENTIAL DIFFERENTIAL EQUATION , 2006 .
[3] Alfredo Aranda,et al. Improved LindstedtPoincar method for the solution of nonlinear problems , 2003, math-ph/0303052.
[4] D. Ganji. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer , 2006 .
[5] Baisheng Wu,et al. An analytical approximate technique for a class of strongly non-linear oscillators , 2006 .
[6] D Gangi,et al. APPLICATION OF HES HOMOTOPY-PERTURBATION METHOD TO NONLINEAR COUPLED SYSTEMS OF REACTION-DIFFUSION EQUATIONS , 2006 .
[7] Ji-Huan He,et al. Addendum:. New Interpretation of Homotopy Perturbation Method , 2006 .
[8] Ji-Huan He,et al. Modified Lindstedt–Poincare methods for some strongly non-linear oscillations: Part I: expansion of a constant , 2002 .
[9] Ji-Huan He,et al. The homotopy perturbation method for nonlinear oscillators with discontinuities , 2004, Appl. Math. Comput..
[10] Ronald E. Mickens. Iteration method solutions for conservative and limit-cycle x1/3 force oscillators , 2006 .
[11] Ji-Huan He,et al. Application of Parameter-expanding Method to Strongly Nonlinear Oscillators , 2007 .
[12] Baisheng Wu,et al. Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers , 2005 .
[13] Augusto Beléndez,et al. Application of the homotopy perturbation method to the nonlinear pendulum , 2006 .
[14] Paolo Amore Francisco M. Fernandez. Exact and approximate expressions for the period of anharmonic oscillators , 2004 .
[15] Ronald E. Mickens,et al. Mathematical and numerical study of the duffing-harmonic oscillator , 2001 .
[16] Jorge L. Moiola,et al. On period doubling bifurcations of cycles and the harmonic balance method , 2006 .
[17] Md. Sazzad Hossien Chowdhury,et al. Application of homotopy-perturbation method to nonlinear population dynamics models , 2007 .
[18] Ronald E. Mickens,et al. Oscillations in Planar Dynamic Systems , 1996, Series on Advances in Mathematics for Applied Sciences.
[19] H. Hu,et al. Solution of a quadratic nonlinear oscillator by the method of harmonic balance , 2006 .
[20] R. Mickens,et al. GENERALIZED HARMONIC BALANCE/NUMERICAL METHOD FOR DETERMINING ANALYTICAL APPROXIMATIONS TO THE PERIODIC SOLUTIONS OF THE x4/3 POTENTIAL , 2002 .
[21] A. Siddiqui,et al. Couette and Poiseuille Flows for Non-Newtonian Fluids , 2006 .
[22] Ronald E. Mickens,et al. ANALYSIS OF NON-LINEAR OSCILLATORS HAVING NON-POLYNOMIAL ELASTIC TERMS , 2002 .
[23] Davood Domiri Ganji,et al. Explicit Solutions of Helmholtz Equation and Fifth-order KdV Equation using Homotopy Perturbation Method , 2006 .
[24] R. Mickens,et al. OSCILLATIONS IN AN x4/3POTENTIAL , 2001 .
[25] R. Mahmood,et al. Thin Film Flow of a Third Grade Fluid on a Moving Belt by He's Homotopy Perturbation Method , 2006 .
[26] S. Gallego,et al. Comments on “investigation of the properties of the period for the nonlinear oscillator x''+(1+x^2)x'=0” , 2007 .
[27] Augusto Beléndez,et al. Application of a modified He's homotopy perturbation method to obtain higher-order approximations of an x1/3 force nonlinear oscillator , 2007 .
[28] S. Gallego,et al. Application of the harmonic balance method to a nonlinear oscillator typified by a mass attached to a stretched wire , 2007 .
[29] Paolo Amore,et al. Comparison of alternative improved perturbative methods for nonlinear oscillations , 2005 .
[30] Ji-Huan He. New interpretation of homotopy perturbation method , 2006 .
[31] C. Neipp,et al. Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He's homotopy methods , 2008 .
[32] Production of Bc mesons in hadronic collisions , 1995, hep-ph/9505298.
[33] Approximate Solutions for Conservative Nonlinear Oscillators by He’s Homotopy Method , 2008 .
[34] Baisheng Wu,et al. Higher accuracy analytical approximations to the Duffing-harmonic oscillator , 2006 .
[35] D. Ganji,et al. Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations , 2006 .
[36] Paolo Amore,et al. Alternative perturbation approaches in classical mechanics , 2004 .
[37] J. H. Tang,et al. Solution of a Duffing-harmonic oscillator by the method of harmonic balance , 2006 .
[38] Ji-Huan He,et al. Α Review on Some New Recently Developed Nonlinear Analytical Techniques , 2000 .
[39] Ji-Huan He,et al. Modified Lindstedt–Poincare methods for some strongly non-linear oscillations: Part II: a new transformation , 2002 .
[40] J.-H. He,et al. Modified Lindsted-Poincare Methods For Some Strongly Nonlinear Oscillations Part III : Double Series Expansion , 2001 .
[41] Ahmet Yildirim,et al. Determination of periodic solution for a u1/3 force by He's modified Lindstedt–Poincaré method , 2007 .
[42] Augusto Beléndez,et al. Application of He's Homotopy Perturbation Method to the Relativistic (An)harmonic Oscillator. I: Comparison between Approximate and Exact Frequencies , 2007 .
[43] Ronald E. Mickens,et al. Investigation of the properties of the period for the nonlinear oscillator x¨+(1+x˙2)x=0 , 2006 .
[44] Hans Peter Gottlieb,et al. Harmonic balance approach to limit cycles for nonlinear jerk equations , 2006 .
[45] R. M. EL-ASHWAH,et al. HYPERGEOMETRIC FUNCTIONS , 2004 .
[46] Ji-Huan He. Homotopy Perturbation Method for Bifurcation of Nonlinear Problems , 2005 .
[47] Ji-Huan He. HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .
[48] Ali H. Nayfeh,et al. Problems in Perturbation , 1985 .
[49] T. Hayat,et al. Homotopy Perturbation Method and Axisymmetric Flow over a Stretching Sheet , 2006 .
[50] Augusto Beléndez,et al. Analytical approximations for the period of a nonlinear pendulum , 2006 .
[51] Augusto Beléndez,et al. Application of He's Homotopy Perturbation Method to the Relativistic (An)harmonic Oscillator. II: A More Accurate Approximate Solution , 2007 .
[52] Mehdi Dehghan,et al. Inverse problem of diffusion equation by He's homotopy perturbation method , 2007 .
[53] Augusto Beléndez,et al. Application of He's Homotopy Perturbation Method to the Duffing-Harmonic Oscillator , 2007 .
[54] Ji-Huan He,et al. A NEW PERTURBATION TECHNIQUE WHICH IS ALSO VALID FOR LARGE PARAMETERS , 2000 .