Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems

2008 ◽  
pp. 39-78
Keyword(s):  
Dynamical Systems ◽  
Structural Stability ◽  
Topological Equivalence ◽  
Stability Of Dynamical Systems

Stability of dynamical systems - An overview

1990 ◽  
Vol 13 (3) ◽  
pp. 385-393 ◽  
Author(s):  
S. Pradeep ◽  
S. K. Shrivastava
Keyword(s):  
Dynamical Systems ◽  
Stability Of Dynamical Systems

INTERTWINED BASINS OF ATTRACTION

2012 ◽  
Vol 22 (06) ◽  
pp. 1250130
Author(s):  
CHANGMING DING
Keyword(s):  
Dynamical Systems ◽  
Metric Space ◽  
Basins Of Attraction ◽  
General Definition ◽  
Sufficient Condition ◽  
Topological Equivalence ◽  
Definition Of

This paper deals with intertwined basins of attraction for dynamical systems in a metric space. After giving a general definition of intertwining property, which is preserved by a topological equivalence between dynamical systems, we present a sufficient condition to guarantee the existence of intertwined basins for dynamical systems in ℝn.

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