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» On Invariant Manifolds of Dynamical Systems in Lie Algebras
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CASC
2009
Springer
97views Mathematics» more  CASC 2009»
13 years 9 months ago
On Invariant Manifolds of Dynamical Systems in Lie Algebras
Valentin Irtegov, Tatyana Titorenko
CG
2005
Springer
13 years 6 months ago
Two-dimensional invariant manifolds in four-dimensional dynamical systems
This paper explores the visualization of two-dimensional stable and unstable manifolds of the origin (a saddle point) in a four-dimensional Hamiltonian system arising from control...
Hinke M. Osinga
FOCM
2006
63views more  FOCM 2006»
13 years 6 months ago
On an Isospectral Lie-Poisson System and Its Lie Algebra
In this paper we analyse the matrix differential system X = [N, X2 ], where N is skew-symmetric and X(0) is symmetric. We prove that it is isospectral and that it is endowed with ...
Anthony M. Bloch, Arieh Iserles
FOCM
2007
54views more  FOCM 2007»
13 years 6 months ago
Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions
We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise t...
Evelyne Hubert, Irina A. Kogan
SIAMAM
2010
119views more  SIAMAM 2010»
13 years 4 months ago
The Dynamics of Weakly Reversible Population Processes near Facets
This paper concerns the dynamical behavior of weakly reversible, deterministically modeled population processes near the facets (codimension-one faces) of their invariant manifolds...
David F. Anderson, Anne Shiu