STARTING HOMOCLINIC TANGENCIES NEAR 1 : 1 RESONANCES.

Authors :: PÁEZ CHÁVEZ, JOSEPH
Source :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Oct2010, Vol. 20 Issue 10, p3157-3172. 16p. 2 Diagrams, 9 Graphs.
Publication Year :: 2010
Abstract: We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension ≥ 2. The core of the method is numerical center manifold reduction and flow approximation. The reduction is implemented by means of the homological equation. The starting procedure is applied in numerical examples. [ABSTRACT FROM AUTHOR]

Subjects :: *TANGENT bundles
*NUMERICAL analysis
*CONTINUATION methods
*HOMOLOGY theory
*APPROXIMATION theory
*MANIFOLDS (Mathematics)

Language :: English
ISSN :: 02181274
Volume :: 20
Issue :: 10
Database :: Academic Search Index
Journal :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :: Academic Journal
Accession number :: 57441824

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