scholarly journals Efficient Automation of Index Pairs in Computational Conley Index Theory

2012 ◽  
Vol 11 (1) ◽  
pp. 82-109 ◽  
Author(s):  
Rafael Frongillo ◽  
Rodrigo Treviño
Keyword(s):  
Index Theory ◽  
Conley Index ◽  
Conley Index Theory ◽  
Index Pairs

LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY

2018 ◽  
Vol 61 (03) ◽  
pp. 693-704
Author(s):  
KATSUYA YOKOI
Keyword(s):  
Index Theory ◽  
Conley Index ◽  
Invariant Sets ◽  
Conley Index Theory ◽  
Lusternik Schnirelmann

AbstractWe study Lusternik–Schnirelmann type categories for isolated invariant sets by the use of the discrete Conley index.

scholarly journals On the shape Conley index theory of semiflows on complete metric spaces

2015 ◽  
Vol 36 (3) ◽  
pp. 1629-1647 ◽  
Author(s):  
Jintao Wang ◽  
Desheng Li ◽  
Jinqiao Duan
Keyword(s):  
Metric Spaces ◽  
Index Theory ◽  
Conley Index ◽  
Complete Metric Spaces ◽  
Conley Index Theory

scholarly journals On Conley's fundamental theorem of dynamical systems

2004 ◽  
Vol 2004 (26) ◽  
pp. 1397-1401 ◽  
Author(s):  
M. R. Razvan
Keyword(s):  
Dynamical Systems ◽  
Fundamental Theorem ◽  
Index Theory ◽  
Conley Index ◽  
Morse Decomposition ◽  
Conley Index Theory

We generalize Conley's fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of a regular index filtration for every Morse decomposition.

scholarly journals Spectral splittings in the Conley index theory

2014 ◽  
Vol 17 (2) ◽  
pp. 403-412
Author(s):  
Piotr Bartłomiejczyk
Keyword(s):  
Index Theory ◽  
Conley Index ◽  
Conley Index Theory

scholarly journals Multiple solutions of indefinite elliptic systems via a Galerkin-type Conley index theory

2003 ◽  
Vol 176 (3) ◽  
pp. 233-249 ◽  
Author(s):  
Marek Izydorek ◽  
Krzysztof P. Rybakowski
Keyword(s):  
Multiple Solutions ◽  
Elliptic Systems ◽  
Index Theory ◽  
Conley Index ◽  
Conley Index Theory

scholarly journals Algebraic transition matrices in the Conley index theory

1998 ◽  
Vol 350 (3) ◽  
pp. 889-912 ◽  
Author(s):  
Robert Franzosa ◽  
Konstantin Mischaikow
Keyword(s):  
Index Theory ◽  
Conley Index ◽  
Transition Matrices ◽  
Conley Index Theory

scholarly journals Conley Index Theory and Novikov-Morse Theory

2005 ◽  
Vol 1 (4) ◽  
pp. 939-971 ◽  
Author(s):  
Huijun Fan ◽  
Jurgen Jost
Keyword(s):  
Morse Theory ◽  
Index Theory ◽  
Conley Index ◽  
Conley Index Theory
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