Order reduction of retarded nonlinear systems – the method of multiple scales versus center-manifold reduction

By Ali H. Nayfeh. 2008

163 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8e31975ef388cb75fc0b960c213753a55c8a53b0

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. K. Nandakumar
2. Marian Wiercigroch

In Statistical and Nonlinear Physics

1. K. Nandakumar
2. Marian Wiercigroch

Citations in the corpus

• Galerkin projections for state-dependent delay differential equations with applications to drilling (2013, methodology): “A comparative analysis of the perturbation (method of multiple scales) and the center manifold reduction approaches in developing normal form descriptions for delay differential equations is given in [21].”
• Calculating Centre Manifolds for Delay Differential Equations Using Maple (2009, unknown): “…techniques (multiple scales, Poincaré-Lindstedt, averaging ) have been used to study Hopf bifurcation by Campbell et al. (2006); Chow and Mallet-Paret (1977); Das and Chatterjee (2002); Gopalsamy and Leung (1996); Nayfeh (2008); Rand and Verdugo (2007); Stech (1979) and Wirkus and Rand (2004) .”