3 papers
math.DS2008★ 1 cited
Critical Solutions of Three Vortex Motion in the Parabolic Case
Lu Ting, Omar Knio, Denis Blackmore
Grobli (1877) laid the foundation for the analysis of the motion of three point vortices in a plane by deriving governing equations for triangular configurations of the vortices. S…
math.DS2004
Pitchfork Bifurcations of Invariant Manifolds
Jyoti Champanerkar, Denis Blackmore
A pitchfork bifurcation of an -dimensional invariant submanifold of a dynamical system in is defined analogous to that in . Sufficient conditions…
nlin.SI2004
On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations
A. M. Samoilenko, Y. A. Prykarpatsky, D. L. Blackmore +1
Based on the structure of Casimir elements associated with general Hopf algebras there are constructed Liouville-Arnold integrable flows related with naturally induced Poisson stru…