Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings

2009 ◽  
Vol 104 (1-2) ◽  
pp. 191-204 ◽  
Author(s):  
Elena Lega ◽  
Massimiliano Guzzo ◽  
Claude Froeschlé
Keyword(s):  
Symplectic Mappings ◽  
Homoclinic Tangle ◽  
Exponential Splitting

Fast Switching Analysis of Linear Switched Systems Using Exponential Splitting

2008 ◽  
Vol 47 (5) ◽  
pp. 2582-2597 ◽  
Author(s):  
M. Porfiri ◽  
D. G. Roberson ◽  
D. J. Stilwell
Keyword(s):  
Switched Systems ◽  
Fast Switching ◽  
Exponential Splitting

scholarly journals A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings

2011 ◽  
Vol 111 (3) ◽  
pp. 285-307 ◽  
Author(s):  
N. P. Maffione ◽  
L. A. Darriba ◽  
P. M. Cincotta ◽  
C. M. Giordano
Keyword(s):  
Symplectic Mappings

A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings

2015 ◽  
Vol 29 (1) ◽  
pp. 131-154 ◽  
Author(s):  
Xuezhu Lu ◽  
Jia Li ◽  
Junxiang Xu
Keyword(s):  
Kam Theorem ◽  
Symplectic Mappings

scholarly journals Symplectic mappings

1996 ◽  
Vol 172 ◽  
pp. 255-266 ◽  
Author(s):  
John D. Hadjidemetriou
Keyword(s):  
Solar System ◽  
Hamiltonian Systems ◽  
Original System ◽  
Mapping Model ◽  
Symplectic Mappings ◽  
Incomplete Model ◽  
Mapping Techniques ◽  
Mapping Models

This paper reviews the main methods for constructing mapping models for Hamiltonian systems, for the study of motion in the Solar System. The emphasis is given to the relation between the various mapping techniques, the methods to check how close is a mapping model to the original system and the effects of an incomplete model on the evolution of the system.

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