Now showing items 1-4 of 4
Global dynamics of stationary solutions of the extended Fisher-Kolmogorov equation
(Journal of Mathematical Physics, 2011-11-01) [Artigo]
In this paper we study the fourth order differential equation d(4)u/dt(4) + q d(2)u/dt(2) + u(3) - u = 0, which arises from the study of stationary solutions of the Extended Fisher-Kolmogorov equation. Denoting x = u, y = ...
Synchronization and Non-Smooth Dynamical Systems
(Journal of Dynamics and Differential Equations, 2012-03-01) [Artigo]
In this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. ...
On the global dynamics of the Rabinovich system
(Journal of Physics A: Mathematical and Theoretical, 2008-07-11) [Artigo]
In this paper by using the Poincare compactification in R(3) make a global analysis of the Rabinovich system(x) over dot = hy - v(1)x + yz, (y) over dot = hx - v(2)y - xz, (z) over dot = -v(3)z + xy,with (x, y, z) is an ...
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
(Siam Journal on Applied Dynamical Systems, 2009-01-01) [Artigo]
In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems theory around typical singularities. We also establish an interaction between nonsmooth systems and geometric singular ...