9.3 Homoclinic points

2012 ◽  
pp. 132-134
Keyword(s):  
Homoclinic Points

scholarly journals On the creation of homoclinic points

1987 ◽  
Vol 66 (1) ◽  
pp. 139-159 ◽  
Author(s):  
Ricardo Mañé
Keyword(s):  
Homoclinic Points ◽  
The Creation

Homoclinic Points and Bifurcations

2021 ◽  
pp. 135-142
Author(s):  
Robert L. Devaney
Keyword(s):  
Homoclinic Points

Homoclinic Orbits in the Complex Domain

1997 ◽  
Vol 07 (02) ◽  
pp. 253-274 ◽  
Author(s):  
V. F. Lazutkin ◽  
C. Simó
Keyword(s):  
Homoclinic Orbits ◽  
Homoclinic Tangency ◽  
Complex Domain ◽  
Standard Map ◽  
Homoclinic Points ◽  
Promising Tool ◽  
Theoretical Support ◽  
Area Preserving Maps ◽  
Area Preserving

We consider the standard map, as a paradigm of area preserving map, when the variables are taken as complex. We study how to detect the complex homoclinic points, which cannot dissappear under a homoclinic tangency. This seems a promising tool to understand the stochastic zones of area preserving maps. The paper is mainly phenomenological and includes theoretical support to the observed phenomena. Several conjectures are stated.

scholarly journals Planar homoclinic points

1982 ◽  
Vol 44 (3) ◽  
pp. 365-382 ◽  
Author(s):  
Dennis Pixton
Keyword(s):  
Homoclinic Points
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