Lie series, Lie transformations, and their applications

2008 ◽  
pp. 45-103 ◽  
Author(s):  
Stanly Steinberg
Keyword(s):  
Lie Series ◽  
Lie Transformations

Lie Series and Canonical Transformations in Complex Phase Space

1988 ◽  
Vol 43 (5) ◽  
pp. 411-418 ◽  
Author(s):  
B. Bruhn
Keyword(s):  
Phase Space ◽  
Generating Function ◽  
Series Representation ◽  
Canonical Transformations ◽  
Lie Series ◽  
Complex Phase ◽  
Lie Transformations ◽  
Complex Valued

This paper considers the Lie series representation of the canonical transformations in a complex phase space. A condition is given which selects the canonical mappings from the Lie transformations associated with a complex-valued generating function. Some special types of mappings and some simple algebraic tools are discussed.

DEVELOPMENT OF NEW METHODS FOR THE SOLUTION OF DIFFERENTIAL EQUATIONS BY THE METHOD OF LIE SERIES

1969 ◽  
Author(s):  
W. Groebner ◽  
K. H. Kestlunger ◽  
H. Reitberger ◽  
R. Saely ◽  
G. Wanner
Keyword(s):  
Differential Equations ◽  
Lie Series ◽  
New Methods

scholarly journals CR maps and point Lie transformations

2002 ◽  
Vol 50 (2) ◽  
pp. 369-379 ◽  
Author(s):  
Alexandre Sukhov
Keyword(s):  
Lie Transformations
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