scholarly journals Additive iterative roots of identity and Hamel bases

2015 ◽  
Vol 90 (1) ◽  
pp. 133-145 ◽  
Author(s):  
Wojciech Jabłoński
Keyword(s):  
Iterative Roots

Finding iterative roots with a spiking neural network

2005 ◽  
Vol 95 (6) ◽  
pp. 545-551 ◽  
Author(s):  
Nicolangelo Iannella ◽  
Lars Kindermann
Keyword(s):  
Neural Network ◽  
Spiking Neural Network ◽  
Iterative Roots

scholarly journals Orbit entropy in noninvertible mappings

1986 ◽  
Vol 40 (1) ◽  
pp. 95-110
Author(s):  
Uhland Burkart
Keyword(s):  
Intrinsic Structure ◽  
Orbit Structure ◽  
Fundamental Properties ◽  
Differentiable Functions ◽  
Iterative Roots

AbstractBassed on the intrinsic structure of a selfmapping T: S → S of an arbitrary set S, called the orbit-structure of T, a new entropy is defined. The idea is to use the number of preimages of an element x under the iterates of T to characterize the complexity of the transformation T and their orbit graphs. The fundamental properties of the orbit entropy related to iteration, iterative roots and iteration semigroups are studied. For continuous (differentiable) functions of Rn to Rn, the chaos of Li and Yorke is characterized by means of this entropy, mainly using the method of Straffingraphs.

Iterative Roots of Clenched Single-Plateau Functions

2016 ◽  
Vol 71 (1-2) ◽  
pp. 15-43 ◽  
Author(s):  
Yinhe Lin ◽  
Yingying Zeng ◽  
Weinian Zhang
Keyword(s):  
Iterative Roots

scholarly journals On the nonexistence of iterative roots

1997 ◽  
Vol 76 (2) ◽  
pp. 97-123 ◽  
Author(s):  
Semeon Bogatyi
Keyword(s):  
Iterative Roots

scholarly journals A note on iterative roots of PM functions

2008 ◽  
Vol 341 (2) ◽  
pp. 1482-1486 ◽  
Author(s):  
Lin Li ◽  
Dilian Yang ◽  
Weinian Zhang
Keyword(s):  
Iterative Roots
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