Accurate Higher-Order Analytical Approximate Solutions to Large-Amplitude Oscillating Systems with a General Non-Rational Restoring Force

[1]  Vimal Singh,et al.  Perturbation methods , 1991 .

[2]  V. Babitsky.  Theory of Vibro-Impact Systems and Applications , 2013 .

[3]  Baisheng Wu,et al.  Analytical approximation to large-amplitude oscillation of a non-linear conservative system , 2003 .

[4]  Baisheng Wu,et al.  A new analytical approach to the Duffing-harmonic oscillator , 2003 .

[5]  J. Awrejcewicz,et al.  OSCILLATIONS OF NON-LINEAR SYSTEM WITH RESTORING FORCE CLOSE TO SIGN(X) , 2002 .

[6]  R. Mickens,et al.  GENERALIZED HARMONIC BALANCE/NUMERICAL METHOD FOR DETERMINING ANALYTICAL APPROXIMATIONS TO THE PERIODIC SOLUTIONS OF THE x4/3 POTENTIAL , 2002 .

[7]  C. Lim,et al.  A new approximate analytical approach for dispersion relation of the nonlinear Klein-Gordon equation. , 2001, Chaos.

[8]  R. Mickens,et al.  OSCILLATIONS IN AN x4/3POTENTIAL , 2001 .

[9]  S. Liao,et al.  Application of Homotopy Analysis Method in Nonlinear Oscillations , 1998 .

[10]  Y. K. Cheung,et al.  An Elliptic Lindstedt--Poincaré Method for Certain Strongly Non-Linear Oscillators , 1997 .

[11]  M. I. Qaisi.  A POWER SERIES APPROACH FOR THE STUDY OF PERIODIC MOTION , 1996 .

[12]  Delamotte.  Nonperturbative (but approximate) method for solving differential equations and finding limit cycles. , 1993, Physical review letters.

[13]  Ronald E. Mickens,et al.  A generalization of the method of harmonic balance , 1986 .

[14]  Ali H. Nayfeh,et al.  Problems in Perturbation , 1985 .

[15]  H. Denman,et al.  Weighted linearization technique for period approximation in large amplitude non-linear oscillations , 1985 .

[16]  S. Kitipornchai,et al.  Analytic approximations to nonlinear oscillatory systems , 2001 .

[17]  Ronald E. Mickens,et al.  Oscillations in Planar Dynamic Systems , 1996, Series on Advances in Mathematics for Applied Sciences.

[18]  A. Leung,et al.  A Toeplitz Jacobian Matrix/Fast Fourier Transformation Method for Steady-State Analysis of Discontinuous Oscillators , 1995 .

[19]  A. Nayfeh,et al.  Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .

[20]  P. Hagedorn.  Non-Linear Oscillations , 1982 .

[21]  A. Nayfeh.  Introduction To Perturbation Techniques , 1981 .