... systems phase space methods variational techniques 05 06 2007 07 08 2007 28 01 2008 Hamilton’s equations have the following form: 34 p 1 α = D t α a C q 1 , D t α a C q 2 = λ − 2 p 3 α + λ = D t α a C q 3 35...

... phase space methods combinatorial mathematics mesh generation computational complexity discrete systems Lyapunov methods chain recurrence Lyapunov function Conley’s decomposition theorem algorithms computation combinatorial dynamics Identifying recurrent behavior...