Fer’s expansion for generalized Hamiltonian system based on Lie transformation technique

✍ Scribed by Zhang Suying; Deng Zichen

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 439 KB
• Volume: 31
• Category: Article
• ISSN: 0093-6413
• DOI: 10.1016/s0093-6413(03)00092-2

✦ Synopsis

In the present paper, we present a new method for integrating the ordinary differential equation, especially for the ordinary differential equation derived from explicitly time-dependent generalized Hamiltonian dynamic system, which is based on taking a factorization of the evolution operator as an infinite product of the exponentials of Lie operators. The above process is a Lie group (algebraic) method that retains the structural intrinsic properties of the exact solution when truncated and is used to analyze the main features of the so-called FerÕs expansion. The numerical examples are presented at the end of this paper.