Higher-Order Approximate Periodic Solutions of a Nonlinear Oscillator with Discontinuity by Variational Approach
نویسندگان
چکیده
منابع مشابه
Multiple-Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity
We applied a new approach to obtain natural frequency of the nonlinear oscillator with discontinuity. He’s Hamiltonian approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn u . We employed this method for higherorder approximate solution of the nonlinear oscillator equation. This property is used to obtain approximate frequency-...
متن کاملExistence of Periodic Solutions for Higher-order Nonlinear Difference Equations
In this article, we study a higher-order nonlinear difference equation. By using critical point theory, we establish sufficient conditions for the existence of periodic solutions.
متن کاملON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *
The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
متن کاملPeriodic Wave Solutions of a Generalized KdV-mKdV Equation with Higher-Order Nonlinear Terms
The Jacobin doubly periodic wave solution, the Weierstrass elliptic function solution, the bell-type solitary wave solution, the kink-type solitary wave solution, the algebraic solitary wave solution, and the triangular solution of a generalized Korteweg-de Vries-modified Korteweg-de Vries equation (GKdV-mKdV) with higher-order nonlinear terms are obtained by a generalized subsidiary ordinary d...
متن کاملNonlinear oscillator with discontinuity by generalized harmonic balance method
A generalized harmonic balance method is used to calculate the periodic solutions of a nonlinear oscillator with discontinuities for which the elastic force term is proportional to sgn(x). This method is a modification of the generalized harmonic balance method in which analytical approximate solutions have rational form. This approach gives us not only a truly periodic solution but also the fr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2009
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2009/450862