Calculators and adding machines.

1982 ◽  
Keyword(s):  
Adding Machines

Liapunov stability and adding machines revisited

2006 ◽  
Vol 21 (3) ◽  
pp. 379-384 ◽  
Author(s):  
Jorge Buescu ◽  
Marcin Kulczycki ◽  
Ian Stewart
Keyword(s):  
Liapunov Stability ◽  
Adding Machines

scholarly journals Kneading sequences of strange adding machines

2009 ◽  
Vol 156 (17) ◽  
pp. 2735-2746 ◽  
Author(s):  
Leslie Braziel Jones
Keyword(s):  
Adding Machines

Adding machines and wild attractors

1997 ◽  
Vol 17 (6) ◽  
pp. 1267-1287 ◽  
Author(s):  
HENK BRUIN ◽  
GERHARD KELLER ◽  
MATTHIAS ST. PIERRE
Keyword(s):  
Dynamical System ◽  
Critical Point ◽  
Cantor Set ◽  
Limit Set ◽  
Unimodal Maps ◽  
Irrational Rotations ◽  
Circle Rotation ◽  
Omega Limit Set ◽  
Adding Machines

We investigate the dynamics of unimodal maps $f$ of the interval restricted to the omega limit set $X$ of the critical point for cases where $X$ is a Cantor set. In particular, many cases where $X$ is a measure attractor of $f$ are included. We give two classes of examples of such maps, both generalizing unimodal Fibonacci maps [LM, BKNS]. In all cases $f_{|X}$ is a continuous factor of a generalized odometer (an adding machine-like dynamical system), and at the same time $f_{|X}$ factors onto an irrational circle rotation. In some of the examples we obtain irrational rotations on more complicated groups as factors.

scholarly journals Products and decompositions of adding machines

2011 ◽  
Vol 382 (1) ◽  
pp. 261-274
Author(s):  
Jie-Hua Mai ◽  
Cui-Jun Liu ◽  
Xin-He Liu
Keyword(s):  
Adding Machines

scholarly journals Adding machines, endpoints, and inverse limit spaces

2010 ◽  
Vol 209 (1) ◽  
pp. 81-93 ◽  
Author(s):  
Lori Alvin ◽  
Karen Brucks
Keyword(s):  
Inverse Limit ◽  
Inverse Limit Spaces ◽  
Adding Machines
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