The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities

By A. Champneys, V. Kirk. 2004

46 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Molecular Biology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/59e3067a004b333ad743852dd2b99a4a9ac70738

How researchers see this paper

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

In Computer Networks and Communications

1. Bjorn Sandstede
2. Ale Jan Homburg

In Molecular Biology

1. Bjorn Sandstede

In Statistical and Nonlinear Physics

1. Bjorn Sandstede
2. Ale Jan Homburg
3. Arnd Scheel

Citations in the corpus

• Homoclinic and heteroclinic bifurcations in vector fields (2010, background): “When adding small third-order symmetry-breaking terms to the normal form, one finds two curves of saddle-focus homoclinic orbits (to p+ and to p−) that cross infinitely often on parameter space; see [74, 141, 214, 215] for earlier results, [27] for recent progress on this topic, and Figure 5.”