Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows

By Aubin Arroyo, F. R. Hertz. 2003

61 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1a0f8092bdcaa9fe52930d35644da515df96caa5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Ale Jan Homburg
2. Shaobo Gan
3. Bjorn Sandstede
4. Dawei Yang

In Statistical and Nonlinear Physics

1. Shaobo Gan
2. Bjorn Sandstede
3. Ale Jan Homburg
4. Dawei Yang
5. Arnd Scheel

Citations in the corpus

• Morse-Smale systems and horseshoes for three dimensional singular flows (2013, background): “Arroyo-Rodriguez [5] proved the conjecture of Palis if homoclinic orbits of singularities were involved for three-dimensional vector fields.”
• Homoclinic and heteroclinic bifurcations in vector fields (2010, background): “Arroyo and Rodriguez-Hertz [24] proved that a differential equation on a three-dimensional compact manifold can be C1 approximated either by a system that is uniformly hyperbolic or that has a homoclinic tangency between stable and unstable manifolds of periodic orbits or a singular cycle; a singula”