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Tracking of Morse sets for 2D bounded time‐dependent vector fields

2016 ◽  
Vol 52 (11) ◽  
pp. 925-926
Author(s):  
Longxing Kong ◽  
Xiaoan Tang ◽  
Junda Zhang ◽  
Li Wang
Keyword(s):  
Vector Fields ◽  
Time Dependent ◽  
Dependent Vector ◽  
Morse Sets

scholarly journals Limit and Morse Sets for Deterministic Hybrid Systems

2012 ◽  
Vol 12 (2) ◽  
pp. 335-360 ◽  
Author(s):  
Kimberly Ayers ◽  
Xavier Garcia ◽  
Jennifer Kunze ◽  
Thomas Rudelius ◽  
Anthony Sanchez ◽  
...  
Keyword(s):  
Hybrid Systems ◽  
Morse Sets

scholarly journals TOWARDS A MORSE THEORY FOR RANDOM DYNAMICAL SYSTEMS

2004 ◽  
Vol 04 (03) ◽  
pp. 277-296 ◽  
Author(s):  
HANS CRAUEL ◽  
LUU HOANG DUC ◽  
STEFAN SIEGMUND
Keyword(s):  
Dynamical Systems ◽  
Morse Theory ◽  
Building Blocks ◽  
Random Dynamical Systems ◽  
Morse Decomposition ◽  
Main Building ◽  
Morse Sets

A generalization of the concepts of deterministic Morse theory to random dynamical systems is presented. Using the notions of attraction and repulsion in probability, the main building blocks of Morse theory such as attractor–repeller pairs, Morse sets, and the Morse decomposition are obtained for random dynamical systems.

scholarly journals Morse decompositions and connection matrices

1988 ◽  
Vol 8 (8) ◽  
pp. 227-249 ◽  
Keyword(s):  
Metric Spaces ◽  
Morse Decomposition ◽  
Connection Matrix ◽  
Matrix Formalism ◽  
Compact Metric Spaces ◽  
Connection Matrices ◽  
Morse Decompositions ◽  
Morse Sets

AbstractThis paper surveys the work of Charles Conley and his students on Morse decompositions for flows on compact metric spaces, as well as the more recent development of the connection matrix formalism for detecting connections between the Morse sets of a Morse decomposition.

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