Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations

By D. Smets, J. van den Berg. 2002

81 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/79dd6fccf0ab0ff2c1c488184e92e2687cd8b174

How researchers see this paper

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

In Computational Theory and Mathematics

1. Bjorn Sandstede
2. Ale Jan Homburg
3. Arnd Scheel
4. John Mallet-Paret

In Computer Networks and Communications

1. Bjorn Sandstede
2. Ale Jan Homburg

In Public Health, Environmental and Occupational Health

1. Bjorn Sandstede
2. Ale Jan Homburg

Citations in the corpus

• Homoclinic and heteroclinic bifurcations in vector fields (2010, methodology): “In [378, 407, 409], variational methods were used to find multibump orbits in the Swift–Hohenberg equation.”
• A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam (2006, unknown): “Until recently, there has been little progress on the proof of existence of solutions of equation (1), until Smets and van den Berg [6] showed that for almost all c in the interval (0, √ 2), there exists at least one solution.”