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PERIODIC PERTURBATION of QUADRATIC SYSTEMS WITH TWO INFINITE HETEROCLINIC CYCLES
(Amer Inst Mathematical Sciences, 2012-05-01)
We study periodic perturbations of planar quadratic vector fields having infinite heteroclinic cycles, consisting of an invariant straight line joining two saddle points at infinity and an arc of orbit also at infinity. ...
PERIODIC PERTURBATION of QUADRATIC SYSTEMS WITH TWO INFINITE HETEROCLINIC CYCLES
(Amer Inst Mathematical Sciences, 2012-05-01)
We study periodic perturbations of planar quadratic vector fields having infinite heteroclinic cycles, consisting of an invariant straight line joining two saddle points at infinity and an arc of orbit also at infinity. ...
PERIODIC PERTURBATION of QUADRATIC SYSTEMS WITH TWO INFINITE HETEROCLINIC CYCLES
(Amer Inst Mathematical Sciences, 2014)
GLOBAL DYNAMICS IN THE POINCARE BALL of THE CHEN SYSTEM HAVING INVARIANT ALGEBRAIC SURFACES
(World Scientific Publ Co Pte Ltd, 2012-06-01)
In this paper, we perform a global analysis of the dynamics of the Chen system(x) over dot = a(y - x), (y) over dot = (c - a)x - xz + cy, (z) over dot = xy - bz,where (x, y, z) is an element of R-3 and (a, b, c) is an ...
On the existence of infinite heteroclinic cycles in polynomial systems and its dynamic consequences
(Wiley-Blackwell, 2004-01-01)
In this work we consider the dynamic consequences of the existence of infinite heteroclinic cycle in planar polynomial vector fields, which is a trajectory connecting two saddle points at infinity. It is stated that, ...
On the existence of infinite heteroclinic cycles in polynomial systems and its dynamic consequences
(Wiley-Blackwell, 2004-01-01)
In this work we consider the dynamic consequences of the existence of infinite heteroclinic cycle in planar polynomial vector fields, which is a trajectory connecting two saddle points at infinity. It is stated that, ...
Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system
(Iop Publishing Ltd, 2009-03-20)
In this paper, by using the Poincare compactification in R(3) we make a global analysis of the Lorenz system, including the complete description of its dynamic behavior on the sphere at infinity. Combining analytical and ...
Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system
(Iop Publishing Ltd, 2009-03-20)
In this paper, by using the Poincare compactification in R(3) we make a global analysis of the Lorenz system, including the complete description of its dynamic behavior on the sphere at infinity. Combining analytical and ...
Large amplitude oscillations for a class of symmetric polynomial differential systems in R³
(Academia Brasileira de Ciências, 2014)