Moduli spaces associated to dynamical systems

2012 ◽  
pp. 3-10
Keyword(s):  
Dynamical Systems ◽  
Moduli Spaces

scholarly journals Topology and growth of a special class of holomorphic self-maps of ℂ*

1989 ◽  
Vol 9 (2) ◽  
pp. 321-328 ◽  
Author(s):  
Linda Keen
Keyword(s):  
Dynamical Systems ◽  
General Problem ◽  
Moduli Spaces ◽  
Special Class ◽  
The Family ◽  
Image Position

AbstractIt is a general problem to find appropriate sets of moduli for families of functions that generate dynamical systems. In this paper we solve this problem for a specific family of holomorphic self-maps of ℂ* defined byThe main theorem states that any function topologically conjugate to a member of ℱ is holomorphically conjugate to some member of the family. It follows that the coefficients of the polynomials P(z) and Q(z) are a suitable set of moduli for the families of dynamical systems generated by these functions.The moduli spaces of functions in ℱ are easy to study computationally and have been studied by many authors. (See references in the text.)

scholarly journals Moduli spaces for dynamical systems with portraits

2020 ◽  
Vol 64 (3) ◽  
pp. 375-465
Author(s):  
John R. Doyle ◽  
Joseph H. Silverman
Keyword(s):  
Dynamical Systems ◽  
Moduli Spaces

scholarly journals ON MODULI SPACES AND CW STRUCTURES ARISING FROM MORSE THEORY ON HILBERT MANIFOLDS

2010 ◽  
Vol 02 (04) ◽  
pp. 469-526 ◽  
Author(s):  
LIZHEN QIN
Keyword(s):  
Dynamical Systems ◽  
Moduli Spaces ◽  
Morse Theory ◽  
Flow Lines ◽  
Morse Functions ◽  
Negative Gradient

This paper proves some results on negative gradient dynamical systems of Morse functions on Hilbert manifolds. It contains the compactness of flow lines, manifold structures of certain compactified moduli spaces, orientation formulas, and CW structures of the underlying manifolds.

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