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- University of WaterlooCA46 papers
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4 papers · 2 filters
Bifurcations of Central Configurations in the Four-Body Problem with some equal masses
David Rusu, Manuele Santoprete
We study the bifurcations of central configurations of the Newtonian four-body problem when some of the masses are equal. First, we continue numerically the solutions for the equal…
Symmetric Relative Equilibria in the Four-Vortex Problem with Three Equal Vorticities
Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo
We examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, , and is a real parameter.…
Canonoid and Poissonoid Transformations, Symmetries and BiHamiltonian Structures
Giovanni Rastelli, Manuele Santoprete
We give a characterization of linear canonoid transformations on symplectic manifolds and we use it to generate biHamiltonian structures for some mechanical systems. Utilizing this…
Finite-dimensional simple modules over generalized Heisenberg algebras
Rencai Lu, Kaiming Zhao
Generalized Heisenberg algebras for any polynomial $f(h)\in\C[h]$ have been used to explain various physical systems and many physical phenomena for the last 20 years. In t…