DSpace Collection:
http://dspace.upb.edu.ph/jspui/handle/123456789/10
2019-11-14T02:58:19ZStability and Bifurcations in Delayed Three-Species Model
http://dspace.upb.edu.ph/jspui/handle/123456789/74
Title: Stability and Bifurcations in Delayed Three-Species Model
Authors: Collera, Juancho A.
Abstract: In this study, a system of delay differential equations arising from
a three-species model with two predators feeding on a single prey is
considered. It is assumed that the prey population grows logistically
in the absence of predators, and both predator populations adapt a
Holling type II functional response. Each response term includes a delay
time, which reflects the gestation period of each predator. The predator
equations are the same except for their delay time. The positive steady-state
solution of the form (¯x, ¯y, ¯y) is called the symmetric equilibrium.
This work examines the effects of the difference in the gestation period
of the two predators. Conditions for the stability and bifurcations of
the symmetric equilibrium for both cases when the delay times are equal
and when one is larger than the other are provided.2013-01-01T00:00:00ZSymmetry-breaking bifurcations in two mutually delay-coupled lasers
http://dspace.upb.edu.ph/jspui/handle/123456789/73
Title: Symmetry-breaking bifurcations in two mutually delay-coupled lasers
Authors: Collera, Juancho A.
Abstract: We consider a symmetric system of delay differential equations arising from a model of two
mutually delay-coupled semiconductor lasers. The system is described using the Lang-Kobayashi rate
equations whose basic solutions are called compound laser modes (CLMs). We employ a group-theoretic
approach to find solutions and to identify symmetry-breaking steady-state and Hopf bifurcations. This
classification allows us to predict the symmetry group of a bifurcating branch of solutions from a symmetry-breaking bifurcation. Methods and techniques used in this study can be extended to larger symmetric laser
networks.2015-01-01T00:00:00ZON THE DIOPHANTINE EQUATION 3x + 5y + 7z = w2
http://dspace.upb.edu.ph/jspui/handle/123456789/72
Title: ON THE DIOPHANTINE EQUATION 3x + 5y + 7z = w2
Authors: BACANI, JERICO B.; RABAGO, JULIUS FERGY T.
Abstract: We exhaust all solutions of the Diophantine equation
3x + 5y + 7z = w2
in non-negative integers using elementary methods.2014-01-01T00:00:00ZFactorizations of Lorentz Matrices
http://dspace.upb.edu.ph/jspui/handle/123456789/71
Title: Factorizations of Lorentz Matrices
Authors: Gueco, Edna N.; Merino, Dennis I.; Paras, Agnes T.2012-01-01T00:00:00Z