46 citations
- Universitat Politècnica de CatalunyaES7 papers
- Universidad Rey Juan CarlosES5 papers
- Université de ToursFR3 papers
- University College DublinIE3 papers
- Chitkara UniversityIN2 papers
- Instituto de Engenharia de Sistemas e Computadores Investigação e DesenvolvimentoPT2 papers
- Instituto de Física CorpuscularES2 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT2 papers
- Khazar UniversityAZ2 papers
- Universidad Nacional del SurAR2 papers
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- University of Newcastle AustraliaAU2 papers
7 papers · 1 filter
Inverse Jacobi multiplier as a link between conservative systems and Poisson structures
Isaac A. García, Benito Hernández-Bermejo
Some aspects of the relationship between conservativeness of a dynamical system (namely the preservation of a finite measure) and the existence of a Poisson structure for that syst…
Periodic orbits in analytically perturbed Poisson systems
Isaac A. García, Benito Hernández-Bermejo
Analytical perturbations of a family of finite-dimensional Poisson systems are considered. It is shown that the family is analytically orbitally conjugate in $U \subset \mathbb{R}^…
Poisson systems as the natural framework for additional first integrals via Darboux invariant hypersurfaces
Isaac A. García, Benito Hernández-Bermejo
In the literature, the existence of Darboux polynomials and additional polynomial first integrals has been considered in the case of Hamiltonian systems. In this article such probl…
Perturbed Euler top and bifurcation of limit cycles on invariant Casimir surfaces
Isaac A. García, Benito Hernández-Bermejo
Analytical perturbations of the Euler top are considered. The perturbations are based on the Poisson structure for such a dynamical system, in such a way that the Casimir invariant…
Analytical Quantile Solution for the S-distribution, Random Number Generation and Statistical Data Modeling
Benito Hernández-Bermejo, Albert Sorribas
The selection of a specific statistical distribution is seldom a simple problem. One strategy consists in testing different distributions (normal, lognormal, Weibull, etc.), and se…
Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups
C. Dalfó, M. A. Fiol
In this paper, we present a method to obtain regular (or equitable) partitions of Cayley (di)graphs (that is, graphs, digraphs, or mixed graphs) of permutation groups on letter…