Exact parametric representations of orbits defined by cubic Hamiltonian 2010 Mathematics Subject ClassificationI 14H50 34C25 35Q72

Jibin Li
2014 Vol. 43 No. 5 Journal of Shanghai Normal University5 Natural Sciences·MathematicsJ Oct.   unpublished
I In this paper we show that for any given planar cubic algebraic curves defined by a quad-ratic Hamiltonian vector field we can always have their exact explicit parametric representations. We use a model of micro-structured solid to show an application of our conclusions. Key wordsI cubic algebraic curveMplanar quadratic Hamiltonian systemMexact solutionM traveling waveMmodel of micro-structured solid CLC numberI O 241. 8 O 152. 5 Document codeI A