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Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications
Article . 1996
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Instant Chaos Is Chaos in Slow Motion

Instant chaos is chaos in slow motion
Authors: Labouriau, Isabel S.; Dias, Ana Paula S.;

Instant Chaos Is Chaos in Slow Motion

Abstract

Instant chaos means that after the bifurcation of a stable equilibrium in its arbitrary small neighbourhood chaotic behaviour appears. The authors investigate this phenomenon by scaling the spatial and time variables. It is shown if the chaotic attractor is of limited amplitude then it is in slow motion (reaching the bifurcation value the return time tends to infinity). The method generalizes examples (among others the Lorenz attractor) studied earlier.

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Keywords

Complex behavior and chaotic systems of ordinary differential equations, chaotic attractor, Applied Mathematics, Lorenz attractor, instant chaos, chaotic behaviour, Attractors of solutions to ordinary differential equations, Bifurcations and instability for nonlinear problems in mechanics, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid