1 citations · 1 across the 3 of their papers we have counts for
3 papers
Invariant measures as obstructions to attractors in dynamical systems and their role in nonholonomic mechanics
L. C. García-Naranjo, R. Ortega, A. J. Ureña
We present some rigorous results on the absence of a wide class of invariant measures for dynamical systems possessing attractors. We then consider a generalization of the classica…
Almost-Poisson brackets for nonholonomic systems with gyroscopic terms and Hamiltonisation
L. C. García-Naranjo, J. C. Marrero, D. Martín de Diego +1
We extend known constructions of almost-Poisson brackets and their gauge transformations to nonholonomic systems whose Lagrangian is not mechanical but possesses a gyroscopic term…
Determination of stable branches of relative equilibria of the -vortex problem on the sphere
Kevin Constantineau, Carlos García-Azpeitia, Luis C García-Naranjo +1
We consider the -vortex problem on the sphere assuming that all vorticities have equal strength. We investigate relative equilibria (RE) consisting of latitudinal rings whic…