Invariants of two-dimensional systems via complex Lagrangians with applications

✍ Scribed by M.U. Farooq; S. Ali; Asghar Qadir

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 204 KB
• Volume: 16
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2010.08.007

✦ Synopsis

We explore the use of complex Lagrangians in generating first integrals (invariants) for those physical systems in which the dynamics is governed by a set of two second-order ordinary differential equations. For instance the first integrals of a time-dependent and time-independent oscillator and of the generalized coupled Lane-Emden systems are found.