Topologically Inequivalent Orbits Induced by Noise

In this Letter we extend the concept of stochastic resonance. We show that in forced excitable systems noise can be responsible for the appearance of recurrences presenting a robust topological organization inequivalent to the periodic orbits of the deterministic system. As in stochastic resonance,...

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Detalles Bibliográficos
Autores principales: Mendez, J.M., Aliaga, J., Mindlin, G.B.
Formato: JOUR
Materias:
nerve cell
periodicity
physiology
statistics
theoretical model
Models, Theoretical
Neurons
Periodicity
Stochastic Processes
Computer simulation
Oscillations
Semiconductor lasers
Time series analysis
Stochastic resonance
Topologically inequivalent orbits
Resonance
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00319007_v89_n16_p_Mendez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00319007_v89_n16_p_Mendez
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spelling todo:paper_00319007_v89_n16_p_Mendez2023-10-03T14:43:06Z Topologically Inequivalent Orbits Induced by Noise Mendez, J.M. Aliaga, J. Mindlin, G.B. nerve cell periodicity physiology statistics theoretical model Models, Theoretical Neurons Periodicity Stochastic Processes Computer simulation Oscillations Semiconductor lasers Time series analysis Stochastic resonance Topologically inequivalent orbits Resonance In this Letter we extend the concept of stochastic resonance. We show that in forced excitable systems noise can be responsible for the appearance of recurrences presenting a robust topological organization inequivalent to the periodic orbits of the deterministic system. As in stochastic resonance, these new structures are most pronounced at an optimal noise intensity. © 2002 The American Physical Society. Fil:Mendez, J.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Aliaga, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00319007_v89_n16_p_Mendez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic nerve cell
periodicity
physiology
statistics
theoretical model
Models, Theoretical
Neurons
Periodicity
Stochastic Processes
Computer simulation
Oscillations
Semiconductor lasers
Time series analysis
Stochastic resonance
Topologically inequivalent orbits
Resonance
spellingShingle nerve cell
periodicity
physiology
statistics
theoretical model
Models, Theoretical
Neurons
Periodicity
Stochastic Processes
Computer simulation
Oscillations
Semiconductor lasers
Time series analysis
Stochastic resonance
Topologically inequivalent orbits
Resonance
Mendez, J.M.
Aliaga, J.
Mindlin, G.B.
Topologically Inequivalent Orbits Induced by Noise
topic_facet nerve cell
periodicity
physiology
statistics
theoretical model
Models, Theoretical
Neurons
Periodicity
Stochastic Processes
Computer simulation
Oscillations
Semiconductor lasers
Time series analysis
Stochastic resonance
Topologically inequivalent orbits
Resonance
description In this Letter we extend the concept of stochastic resonance. We show that in forced excitable systems noise can be responsible for the appearance of recurrences presenting a robust topological organization inequivalent to the periodic orbits of the deterministic system. As in stochastic resonance, these new structures are most pronounced at an optimal noise intensity. © 2002 The American Physical Society.
format JOUR
author Mendez, J.M.
Aliaga, J.
Mindlin, G.B.
author_facet Mendez, J.M.
Aliaga, J.
Mindlin, G.B.
author_sort Mendez, J.M.
title Topologically Inequivalent Orbits Induced by Noise
title_short Topologically Inequivalent Orbits Induced by Noise
title_full Topologically Inequivalent Orbits Induced by Noise
title_fullStr Topologically Inequivalent Orbits Induced by Noise
title_full_unstemmed Topologically Inequivalent Orbits Induced by Noise
title_sort topologically inequivalent orbits induced by noise
url http://hdl.handle.net/20.500.12110/paper_00319007_v89_n16_p_Mendez
work_keys_str_mv AT mendezjm topologicallyinequivalentorbitsinducedbynoise
AT aliagaj topologicallyinequivalentorbitsinducedbynoise
AT mindlingb topologicallyinequivalentorbitsinducedbynoise
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