16 citations · 44 across the 12 of their papers we have counts for
17 papers
Global Bifurcation of Spiral Wave Solutions to the Complex Ginzburg-Landau Equation
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
We use the -equivariant degree to establish the existence of unbounded branches of rotating spiral wave solutions with any number of arms for the complex Ginzburg Land…
Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
In this paper, we use the equivariant degree theory to establish a global bifurcation result for the existence of non-stationary branches of solutions to a nonlinear, two-parameter…
Subharmonic Solutions In Reversible Non-Autonomous Differential Equations
Izuchukwu Eze, Carlos Garcia-Azpeitia, Wieslaw Krawcewicz +1
We study the existence of subharmonic solutions in the system , where and is an even and -periodic function in time. Under so…
Braids of the N-body problem by cabling a body in a central configuration
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of periodic solutions of the N=(n+1)-body problem starting with n bodies whose reduced motion is close to a non-degenerate central configuration and replacin…
Choreographies in the -vortex problem
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia
We consider the equations of motion of vortices of equal circulation in the plane, in a disk and on a sphere. The vortices form a polygonal equilibrium in a rotating frame of r…
Solutions of Fixed Period in the Nonlinear Wave Equation on Networks
Carlos García-Azpeitia, Wieslaw Krawcewicz, Yanli Lv
The wave equation on network is defined by , where and the graph Laplacian is an operator on functions on vertices. We…