Object

Title: One-dimensional Dynamics for a Discontinuous Singular Mapand the Routes to Chaos

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես

Date of publication:

2022

Volume:

15

Number:

4

ISSN:

1829-1171

Official URL:


Corporate Creators:

Department of Physics and Physical Oceanography University of North Carolina Wilmington

Coverage:

151-161

Abstract:

We visit a previously proposed discontinuous, two-parameter generalization of the continuous, one-parameter logistic map and present exhaustive numerical studies of the behavior for different values of the two parameters and initial points x0. In particular, routes to chaos exist that do not exhibit period-doubling whereas period-doubling is the sole route to chaos in the logistic map. Aperiodic maps are found that lead to cobwebs with x = ±∞ as accumulation points, where every neighborhood contains infinitely many points generated by the map.

Format:

pdf

Identifier:

click here to follow the link ; oai:arar.sci.am:336130

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Object collections:

Last modified:

Dec 13, 2023

In our library since:

Dec 22, 2022

Number of object content hits:

110

All available object's versions:

https://arar.sci.am/publication/365090

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