dorsal/arxiv
View SchemaFluctuations of Spatial Patterns as a Measure of Classical Chaos
| Authors | Zhen Cao, Rudolph C. Hwa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9702025 |
| URL | https://arxiv.org/abs/nucl-th/9702025 |
| DOI | 10.1103/PhysRevE.56.326 |
| Journal | Phys.Rev.E56:326-333,1997 |
Abstract
In problems where the temporal evolution of a nonlinear system cannot be followed, a method for studying the fluctuations of spatial patterns has been developed. That method is applied to well-known problems in deterministic chaos (the logistic map and the Lorenz model) to check its effectiveness in characterizing the dynamical behaviors. It is found that the indices $\mu _q$ are as useful as the Lyapunov exponents in providing a quantitative measure of chaos.
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"abstract": "In problems where the temporal evolution of a nonlinear system cannot be\nfollowed, a method for studying the fluctuations of spatial patterns has been\ndeveloped. That method is applied to well-known problems in deterministic chaos\n(the logistic map and the Lorenz model) to check its effectiveness in\ncharacterizing the dynamical behaviors. It is found that the indices $\\mu _q$\nare as useful as the Lyapunov exponents in providing a quantitative measure of\nchaos.",
"arxiv_id": "nucl-th/9702025",
"authors": [
"Zhen Cao",
"Rudolph C. Hwa"
],
"categories": [
"nucl-th",
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"hep-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.56.326",
"journal_ref": "Phys.Rev.E56:326-333,1997",
"title": "Fluctuations of Spatial Patterns as a Measure of Classical Chaos",
"url": "https://arxiv.org/abs/nucl-th/9702025"
},
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