Multiple Scales without Center Manifold Reductions for Delay Differential Equations near Hopf Bifurcations
By S. Das, Anindya Chatterjee. 2002
143 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7bd818aeadd0ed7d993f4d15f924e48b88db6baa
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In Computer Networks and Communications
In Public Health, Environmental and Occupational Health
In Statistical and Nonlinear Physics
Citations in the corpus
- 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) .”
- Galerkin projections for state-dependent delay differential equations with applications to drilling (2013, methodology): “Analytical methods such as harmonic balance [15,16], perturbation methods [17,18], center manifold reductions [19] and normal forms [20] have been utilized to study the lower dimensional dynamics of DDEs near bifurcation points.”