dorsal/arxiv
View SchemaAnalytical Study of the Julia Set of a Coupled Generalized Logistic Map
| Authors | Katsuhiko Yoshida, Satoru Saito |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9805001 |
| URL | https://arxiv.org/abs/solv-int/9805001 |
| DOI | 10.1143/JPSJ.68.1513 |
Abstract
A coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically and numerically. It is proved analytically that the Julia set disappears from the complex plane uniformly as a parameter interpolates from the chaotic phase to the integrable phase, if the coupling strength satisfies a certain condition.
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"abstract": "A coupled system of two generalized logistic maps is studied. In particular\ninfluence of the coupling to the behaviour of the Julia set in two dimensional\ncomplex space is analyzed both analytically and numerically. It is proved\nanalytically that the Julia set disappears from the complex plane uniformly as\na parameter interpolates from the chaotic phase to the integrable phase, if the\ncoupling strength satisfies a certain condition.",
"arxiv_id": "solv-int/9805001",
"authors": [
"Katsuhiko Yoshida",
"Satoru Saito"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1143/JPSJ.68.1513",
"title": "Analytical Study of the Julia Set of a Coupled Generalized Logistic Map",
"url": "https://arxiv.org/abs/solv-int/9805001"
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