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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Detalles Bibliográficos
Autor principal: Casaubon, J.I.
Formato: JOUR
Materias:
Approximation theory
Computation theory
Error analysis
Iterative methods
Parameter estimation
Probability
System stability
Control probability
Transient chaos control
Chaos theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13200682_v9_n_p_Casaubon
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_13200682_v9_n_p_Casaubon2023-10-03T16:09:24Z Low probability of controlling transient chaos near crisis Casaubon, J.I. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Casaubon, J.I.
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.
format JOUR
author Casaubon, J.I.
author_facet Casaubon, J.I.
author_sort Casaubon, J.I.
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
url http://hdl.handle.net/20.500.12110/paper_13200682_v9_n_p_Casaubon
work_keys_str_mv AT casaubonji lowprobabilityofcontrollingtransientchaosnearcrisis
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