Now showing items 1-10 of 297
The fixed point property in every weak homotopy type
(Johns Hopkins Univ Press, 2016-01)
We prove that for any connected compact CW-complex K there exists aspace X weak homotopy equivalent to K which has the fixed point property, that is,every continuous map X -> X has a fixed point. The result is known to be ...
On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
(Academic Press Inc Elsevier Science, 2017-01)
In 1969 R.H. Bing asked the following question: Is there a compact two-dimensional polyhedron with the fixed point property which has even Euler characteristic? In this paper we prove that there are no spaces with these ...
Fixed-points in random Boolean networks: The impact of parallelism in the Barabási–Albert scale-free topology case
(Elsevier Ireland Ltd, 2016)
© 2016 Elsevier Ireland LtdFixed points are fundamental states in any dynamical system. In the case of gene regulatory networks (GRNs) they correspond to stable genes profiles associated to the various cell types. We use ...
Presentation complexes with the fixed point property
(Mathematical Sciences Publishers, 2017-03)
We prove that there exists a compact two-dimensional polyhedron with the fixed point property and even Euler characteristic. This answers a question posed by R H Bing in 1969. We also settle a second question by Bing ...
Stability of fixed points set of fuzzy contractions
(Pergamon-elsevier Science LtdOxfordInglaterra, 1998)
Vacuum energy as a c-function for theories with dynamically generated masses
(Elsevier B.V., 2011-01-24)
We argue that in asymptotically free non-Abelian gauge theories possessing the phenomenon of dynamical mass generation the beta function is negative up to a value of the coupling constant that corresponds to a non-trivial ...
Local attractors, degeneracy and analyticity: Symmetry effects on the locally coupled Kuramoto model
In this work we study the local coupled Kuramoto model with periodic boundary conditions. Our main objective is to show how analytical solutions may be obtained from symmetry assumptions, and while we proceed on our endeavor ...
Some dynamical properties of a classical dissipative bouncing ball model with two nonlinearities
Some dynamical properties for a bouncing ball model are studied. We show that when dissipation is introduced the structure of the phase space is changed and attractors appear. Increasing the amount of dissipation, the edges ...