30 citations · 112 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
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…
Platonic solids and symmetric solutions of the -vortex problem on the sphere
Carlos García-Azpeitia, Luis C. García-Naranjo
We consider the -vortex problem on the sphere assuming that all vortices have equal strength. We develop a theoretical framework to analyse solutions of the equations of motion…
Moving energies as first integrals of nonholonomic systems with affine constraints
Francesco Fassò, Luis C. García-Naranjo, Nicola Sansonetto
In nonholonomic mechanical systems with constraints that are affine (linear nonhomogeneous) functions of the velocities, the energy is typically not a first integral. It was shown…
Quasi-periodicity in relative quasi-periodic tori
Francesco Fassò, Luis C. García-Naranjo, Andrea Giacobbe
At variance from the cases of relative equilibria and relative periodic orbits of dynamical systems with symmetry, the dynamics in relative quasi-periodic tori (namely, subsets of…