Proceedings of the American Mathematical Society, Vol. 140, No. 7 (JULY 2012), pp. 2357-2373 (17 pages) The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for ...
Abstract: Provides explicit sufficient conditions under which a Hopf bifurcation in systems described by functional differential equations can be stabilized. The main assumption is that the ...
Abstract: This paper treats a nonlinear dynamical system with both continuous-time and discrete-time variables as a differential-difference-algebraic equation (DDA) or a hybrid dynamical system, ...
ABSTRACT: A delayed Lotka-Volterra two-species predator-prey system of population allelopathy with discrete delay is considered. By linearizing the system at the positive equilibrium and analyzing the ...
ABSTRACT: The DDE-Biftool software is applied to solve the dynamical stability and bifurcation problem of the neutrophil cells model. Based on Hopf point finding with the stability property of the ...
Dynamic instability in the mechanics of elastic structures is a fascinating topic, with many issues still unsettled. Accordingly, there is a wealth of literature examining the problems from different ...
This paper has a dual purpose. First, we describe numerical methods for continuation and bifurcation analysis of steady state solutions and periodic solutions of systems of delay differential ...
In this paper the problem of computing bifurcation diagrams for large-scale nonlinear parameter-dependent steady state systems which arise following the spatial discretization of semilinear PDEs is ...
Bifurcation theory provides a mathematical framework for understanding qualitative changes in the dynamics of systems as parameters vary. In the context of age-structured population models, this ...
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