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IJBC
2007
50views more  IJBC 2007»
13 years 5 months ago
Computing Two-Dimensional Global Invariant Manifolds in Slow-fast Systems
J. P. England, Bernd Krauskopf, Hinke M. Osinga
IJBC
2008
70views more  IJBC 2008»
13 years 4 months ago
Branched Manifolds, knotted Surfaces and Dynamical Systems
: The main goal of this paper is to introduce part of a new approach of proving the existence of a nontrivial knot on any embedded template. This proof in branched 2-manifold case,...
W. Chen, Stephen P. Banks
CG
2005
Springer
13 years 5 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
VISUALIZATION
1995
IEEE
13 years 8 months ago
Qualitative Analysis of Invariant Tori in a Dynamical System
Invariant tori are examples of invariant manifolds in dynamical systems. Usual tools in dynamical systems such as analysis and numerical simulations alone are often not sufficient...
Daryl H. Hepting, Gianne Derks, Kossi D. Edoh, Rob...
SIAMADS
2010
97views more  SIAMADS 2010»
12 years 12 months ago
Localized Instability and Attraction along Invariant Manifolds
Abstract. We derive a simple criterion for transverse instabilities along a general invariant manifold of a multidimensional dynamical system. The criterion requires an appropriate...
George Haller, Themistoklis Sapsis