19 citations · 27 across the 9 of their papers we have counts for
10 papers
Huygens synchronisation of three clocks equidistant from each other
Emma D'Aniello, Henrique M. Oliveira
This paper investigates the synchronization of three identical oscillators, or clocks, suspended from a common rigid support. We consider scenarios where each clock interacts with…
Bifurcation equations for periodic orbits of implicit discrete dynamical systems
Henrique M. Oliveira
Bifurcation equations, non-degeneracy and transversality conditions are obtained for the fold, transcritical, pitchfork and flip bifurcations for periodic points of one dimensional…
Similarity of general population matrices and pseudo-Leslie matrices
João F. Alves, Henrique M. Oliveira
A similarity transformation is obtained between general population matrices models of the Usher or Lefkovitch types and a simpler model, the pseudo-Leslie model. The pseudo Leslie…
Topological equivalences for one-parameter bifurcations of maps
Francisco Balibrea, Henrique M. Oliveira, Jose C. Valverde
Homeomorphisms allowing us to prove topological equivalences between one-parameter families of maps undergoing the same bifurcation are constructed in this paper. This provides a s…
Symbolic Dynamics of Odd Discontinuous Bimodal Maps
Henrique M. Oliveira
Iterations of odd piecewise continuous maps with two discontinuities, i.e., symmetric discontinuous bimodal maps, are studied. Symbolic dynamics is introduced. The tools of kneadin…
Invariance of bifurcation equations for high degeneracy bifurcations of non-autonomous periodic maps
Henrique Manuel Oliveira
Bifurcations of the type in Arnold's classification, in non-autonomous -periodic difference equations generated by parameter depending families with maps, are studie…
On the generating functions of a periodic infinite order linear recurrence
António Bravo, Henrique M. Oliveira
Let G be the space of generating functions of a periodic infinite order linear recurrence. In this paper we provide an explicit procedure for computing a basis of G.
Products of 2X2 matrices related to non autonomous Fibonacci difference equations
Rafael Luís, Henrique Oliveira
A technique to compute arbitrary products of a class of Fibonacci square matrices is proved in this work. General explicit solutions for non autonomous Fibonacci differe…
Population Dynamics with Infinite Leslie Matrices
João Alves, António Bravo, Henrique Oliveira
Infinite Leslie matrices, introduced by Demetrius forty years ago are mathematical models of age-structured populations defined by a countable infinite number of age classes. This…
Kneading determinants of infinite order linear recurrences
João F. Alves, António Bravo, Henrique M. Oliveira
Infinite order linear recurrences are studied via kneading matrices and kneading determinants. The concepts of kneading matrix and kneading determinant of an infinite order linear…