Buscar
Mostrando ítems 1-5 de 5
Artículo
Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs
(World Scientific Publishing, 2005-08)
In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous equation ut − ∆u = λu − b(t)u 2 with b(t) ∈ [b0, B0], 0 < b0 < B0 < 2b0. In particular, we prove the ...
Artículo
Determining asymptotic behavior from the dynamics on attracting sets
(Springer, 1999-04)
Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space can be followed arbitrarily closely by skipping from one solution on the global attractor to ...
Artículo
Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion
(Society for Industrial and Applied Mathematics, 2009)
Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis or prey-predator behaviour involving different interacting species in a fixed habitat. Much of the ...
Artículo
Bifurcations in non-autonomous scalar equations
(Elsevier, 2006-02)
In a previous paper we introduced various definitions of stability and instability for non-autonomous differential equations, and applied these to investigate the bifurcations in some simple models. In this paper we ...
Artículo
Existence and nonexistence of unbounded forward attractor for a class of non-autonomous reaction diffusion equations
(American Institute of Mathematical Sciences, 2007)
The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − ∆u = λu − b(t)up, with p > 1, b(t) > 0, for all t ∈ R, limt→∞ b(t) = 0. While the pullback asymptotic ...