One-dimensional Mapping Approaches

2016 ◽  
pp. 121-150
Keyword(s):  
One Dimensional ◽  
Dimensional Mapping

scholarly journals On The Correlation between Properties of One-Dimensional Mappings of Control Functions and Chaos in a Special Type Delay Differential Equation

2017 ◽  
Vol 12 (2) ◽  
pp. 385-397 ◽  
Author(s):  
В.А. Лихошвай ◽  
V.A. Likhoshvai
Keyword(s):  
Differential Equation ◽  
Chaotic Dynamics ◽  
Molecular Genetic ◽  
Numerical Examples ◽  
One Dimensional ◽  
Control Functions ◽  
Delayed Argument ◽  
The One ◽  
Delay Differential ◽  
Dimensional Mapping

A differential equation of a special form, which contains two control functions f and g and one delayed argument, is analyzed. This equation has a wide application in biology for the description of dynamic processes in population, physiological, metabolic, molecular-genetic, and other applications. Specific numerical examples show the correlation between the properties of the one-dimensional mapping, which is generated by the ratio f /g, and the presence of chaotic dynamics for such equation. An empirical criterion is formulated that allows one to predict the presence of a chaotic potential for a given equation by the properties of the one-dimensional mapping f /g.

Deterministic hopping in a Josephson circuit described by a one-dimensional mapping

1985 ◽  
Vol 31 (4) ◽  
pp. 2509-2519 ◽  
Author(s):  
Robert F. Miracky ◽  
Michel H. Devoret ◽  
John Clarke
Keyword(s):  
One Dimensional ◽  
Dimensional Mapping

Error-detective one-dimensional mapping

2017 ◽  
Author(s):  
Yun Zhang ◽  
Shihao Zhou
Keyword(s):  
One Dimensional ◽  
Dimensional Mapping

scholarly journals Non-monotonicity and smoothness of iterative roots of one-dimensional mapping

2020 ◽  
Vol 51 (1) ◽  
pp. 43
Author(s):  
Liu Liu ◽  
Zeng Yingying ◽  
Zhang Weinian ◽  
Yu Zhiheng
Keyword(s):  
One Dimensional ◽  
Iterative Roots ◽  
Dimensional Mapping
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