Low probability of controlling transient chaos near crisis
A low probability for transient chaos control near crisis is conjectured, based on the criterion that p-parameter variations should be less than the difference p - pC, where pC is the value corresponding to crisis. Otherwise, the OGY criterion for small variations is meaningless. Numerical experimen...
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2002
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon http://hdl.handle.net/20.500.12110/paper_13200682_v9_n_p_Casaubon |
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paper:paper_13200682_v9_n_p_Casaubon2023-06-08T16:10:22Z Low probability of controlling transient chaos near crisis Approximation theory Computation theory Error analysis Iterative methods Parameter estimation Probability System stability Control probability Transient chaos control Chaos theory A low probability for transient chaos control near crisis is conjectured, based on the criterion that p-parameter variations should be less than the difference p - pC, where pC is the value corresponding to crisis. Otherwise, the OGY criterion for small variations is meaningless. Numerical experiments are shown which use a simplified OGY method to stabilize the transient chaos in the logistic map at a fixed point. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon http://hdl.handle.net/20.500.12110/paper_13200682_v9_n_p_Casaubon |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Approximation theory Computation theory Error analysis Iterative methods Parameter estimation Probability System stability Control probability Transient chaos control Chaos theory |
spellingShingle |
Approximation theory Computation theory Error analysis Iterative methods Parameter estimation Probability System stability Control probability Transient chaos control Chaos theory Low probability of controlling transient chaos near crisis |
topic_facet |
Approximation theory Computation theory Error analysis Iterative methods Parameter estimation Probability System stability Control probability Transient chaos control Chaos theory |
description |
A low probability for transient chaos control near crisis is conjectured, based on the criterion that p-parameter variations should be less than the difference p - pC, where pC is the value corresponding to crisis. Otherwise, the OGY criterion for small variations is meaningless. Numerical experiments are shown which use a simplified OGY method to stabilize the transient chaos in the logistic map at a fixed point. |
title |
Low probability of controlling transient chaos near crisis |
title_short |
Low probability of controlling transient chaos near crisis |
title_full |
Low probability of controlling transient chaos near crisis |
title_fullStr |
Low probability of controlling transient chaos near crisis |
title_full_unstemmed |
Low probability of controlling transient chaos near crisis |
title_sort |
low probability of controlling transient chaos near crisis |
publishDate |
2002 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v9_n_p_Casaubon http://hdl.handle.net/20.500.12110/paper_13200682_v9_n_p_Casaubon |
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1768544426141941760 |