2008•Journal of Qinzhou UniversityRequires access

Using the Perturbation Method to Solve the Approximate Periodic Solutions for a Small Parameter Equation

Chunhua Feng

Abstract

The article mainly discuss the existence and the stability of the approximate periodic solutions for strongly nonlinear quasi-conservative autonomous systems +g(x)=ef(x,).Furthermore it analyzes the approximate periodic solutions of two strong nonlinear equations by the perturbation method.Examples show that the perturbation method is both effective and high accurate for strongly nonlinear quasi-conservative autonomous systems.

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Available abstract

Key concepts: Perturbation (astronomy), Poincaré–Lindstedt method, Nonlinear system, Mathematics, Applied mathematics, Mathematical analysis, Quasi periodic, Singular perturbation