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SIAMADS
2010
82views more  SIAMADS 2010»
12 years 11 months ago
Homoclinic Orbits of the FitzHugh-Nagumo Equation: Bifurcations in the Full System
Abstract. This paper investigates travelling wave solutions of the FitzHugh
John Guckenheimer, Christian Kuehn
SIAMADS
2010
92views more  SIAMADS 2010»
12 years 11 months ago
Weak Stability Boundary and Invariant Manifolds
The concept of weak stability boundary has been successfully used in the design of several fuel efficient space missions. In this paper we give a rigorous definition of the weak st...
Edward Belbruno, Marian Gidea, Francesco Topputo
SIAMADS
2010
97views more  SIAMADS 2010»
12 years 11 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
SIAMAM
2010
119views more  SIAMAM 2010»
13 years 2 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
IJBC
2007
74views more  IJBC 2007»
13 years 4 months ago
Geometry of homoclinic Connections in a Planar Circular Restricted Three-Body Problem
Abstract. The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1 between the primaries in the planar circular restricted three-bod...
Marian Gidea, Josep J. Masdemont
VISUALIZATION
1991
IEEE
13 years 8 months ago
A Tool for Visualizing the Topology of Three-Dimensional Vector Fields
We describe a software system, TOPO, that numerically analyzes and graphically displays topological aspects of a three dimensional vector field, v, to produce a single, relativel...
Al Globus, C. Levit, T. Lasinski
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...