26 citations · 128 across the 22 of their papers we have counts for
26 papers
Reply to the comment on the letter "Geometric Origin of the Tennis Racket Effect"
P. Mardesic, G. J. Gutierrez Guillen, D. Sugny
The author of the comment~[arXiv:2302.04190] criticizes our published results in Phys. Rev. Lett. \textbf{125}, 064301 (2020) about the Tennis Racket Effect (TRE). The TRE is a geo…
Signatures of physical constraints in rotating rigid bodies
G. J. Gutierrez Guillen, E. Aldo Arroyo, P. Mardesic +1
We study signatures of physical constraints on free rotations of rigid bodies. We show analytically that the physical or non-physical nature of the moments of inertia of a system c…
Hamiltonian Monodromy via spectral Lax pairs
G. J. Gutierrez Guillen, D. Sugny, P. Mardesic
Hamiltonian Monodromy is the simplest topological obstruction to the existence of global action-angle coordinates in a completely integrable system. We show that this property can…
Reading analytic invariants of parabolic diffeomorphisms from their orbits
Martin Klimes, Pavao Mardesic, Goran Radunovic +1
In this paper we study germs of diffeomorphisms in the complex plane. We address the following problem: How to read a diffeomorphism knowing one of its orbits ? We…
Fractal zeta functions of orbits of parabolic diffeomorphisms
Pavao Mardešić, Goran Radunović, Maja Resman
In this paper, we prove that fractal zeta functions of orbits of parabolic germs of diffeomorphisms can be meromorphically extended to the whole complex plane. We describe their se…
Infinitesimal Center Problem on zero cycles and the composition conjecture
A. Álvarez, J. L. Bravo, C. Christopher +1
We study the analogue of the classical infinitesimal center problem in the plane, but for zero cycles. We define the displacement function in this context and prove that it is iden…