Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator

In vertebrates, the central nervous system processes sensorial input from surroundings and in most of the cases determines motor responses accordingly. There exist specialized synaptic circuits or neural networks for generating and maintaining periodic motor signals necessary for the animal’s locomo...

Full description

Autores:
Hurtado López, Julián
Ramirez-Moreno, David Fernando
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Autónoma de Occidente
Repositorio:
RED: Repositorio Educativo Digital UAO
Idioma:
eng
OAI Identifier:
oai:red.uao.edu.co:10614/14205
Acceso en línea:
https://hdl.handle.net/10614/14205
https://red.uao.edu.co/
Palabra clave:
Redes neuronales (Computadores)
Neural networks
Dynamical system analysis
Nonlinear dynamics
Hopf bifurcation
Branch point bifurcation
Central pattern generator
Rights
openAccess
License
Derechos reservados - World Scientific Publishing Company, 2013
id REPOUAO2_052fba686a3b980f16de0fac115bce37
oai_identifier_str oai:red.uao.edu.co:10614/14205
network_acronym_str REPOUAO2
network_name_str RED: Repositorio Educativo Digital UAO
repository_id_str
dc.title.eng.fl_str_mv Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
title Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
spellingShingle Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
Redes neuronales (Computadores)
Neural networks
Dynamical system analysis
Nonlinear dynamics
Hopf bifurcation
Branch point bifurcation
Central pattern generator
title_short Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
title_full Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
title_fullStr Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
title_full_unstemmed Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
title_sort Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator
dc.creator.fl_str_mv Hurtado López, Julián
Ramirez-Moreno, David Fernando
dc.contributor.author.none.fl_str_mv Hurtado López, Julián
Ramirez-Moreno, David Fernando
dc.subject.armarc.spa.fl_str_mv Redes neuronales (Computadores)
topic Redes neuronales (Computadores)
Neural networks
Dynamical system analysis
Nonlinear dynamics
Hopf bifurcation
Branch point bifurcation
Central pattern generator
dc.subject.proposal.eng.fl_str_mv Neural networks
Dynamical system analysis
Nonlinear dynamics
Hopf bifurcation
Branch point bifurcation
Central pattern generator
description In vertebrates, the central nervous system processes sensorial input from surroundings and in most of the cases determines motor responses accordingly. There exist specialized synaptic circuits or neural networks for generating and maintaining periodic motor signals necessary for the animal’s locomotion as walking, trotting, running or swimming. Recent works have addressed the study of animal locomotion by modeling the neural networks in charge of controlling the rhythmic movements of legs and motor appendices in bipeds, quadrupeds and hexapods [Kiehn et al., 2008]. These works have been extended to modeling and controlling the movements of legged robots [Teng et al., 2012; Mondal et al., 2011]. These synaptic circuits and neural networks or central pattern generators (CPG) [McCrea & Rybak, 2008] exhibit a nonlinear dynamics leading to nonlinear oscillations.
publishDate 2013
dc.date.issued.none.fl_str_mv 2013
dc.date.accessioned.none.fl_str_mv 2022-08-23T14:38:33Z
dc.date.available.none.fl_str_mv 2022-08-23T14:38:33Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.eng.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.content.eng.fl_str_mv Text
dc.type.driver.eng.fl_str_mv info:eu-repo/semantics/article
dc.type.redcol.eng.fl_str_mv http://purl.org/redcol/resource_type/ART
dc.type.version.eng.fl_str_mv info:eu-repo/semantics/publishedVersion
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv 02181274
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10614/14205
dc.identifier.instname.spa.fl_str_mv Universidad Autónoma de Occidente
dc.identifier.reponame.spa.fl_str_mv Repositorio Educativo Digital
dc.identifier.repourl.spa.fl_str_mv https://red.uao.edu.co/
identifier_str_mv 02181274
Universidad Autónoma de Occidente
Repositorio Educativo Digital
url https://hdl.handle.net/10614/14205
https://red.uao.edu.co/
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationendpage.spa.fl_str_mv 12
dc.relation.citationissue.spa.fl_str_mv 8
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 23
dc.relation.cites.eng.fl_str_mv Hurtado López, J., Ramírez Moreno, D. F. (2013). Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator. International Journal of Bifurcation and Chaos. 23 (8), 1-12. https://www.researchgate.net/publication/256731166_Nonlinear_Dynamics_of_An_Oscillatory_Neural_Network_Acting_as_a_Motor_Central_Pattern_Generator/link/004635267c452c8a71000000/download
dc.relation.ispartofjournal.eng.fl_str_mv International Journal of Bifurcation and Chaos
dc.relation.references.none.fl_str_mv Borgmann, A., Hooper, S. L. & B¨uschges, A. [2009] “Sensory feedback induced by front-leg stepping entrains the activity of central pattern generators in caudal segments of the stick insect walking system,” J. Neurosci. 29, 2972–2983
Borisyuk, G. N., Borisyuk, R. M., Khibnik, A. I. & Roose, D. [1995] “Dynamics and bifurcations of two coupled neural oscillators with different connection types,” Bull. Math. Biol. 57, 809–840.
Golubitsky, M. & Stewart, I. [2006] “Nonlinear dynamics of networks: The groupoid formalism,” Bull. Amer. Math. Soc. 43, 305–364
Ijspeert, A. J. [2008] “Central pattern generators for locomotion control in animals and robots: A review,” Neural Networks 21, 642–653
Kiehn, O., Quinlan, K. A., Restrepo, C. E., Lundfald, L., Borgius, L., Talpalar, A. E. & Endo, T. [2008] “Excitatory components of the mammalian locomotor CPG,” Brain Res. Rev. 57, 56–63
McCrea, D. A. & Rybak, I. A. [2008] “Organization of mammalian locomotor rhythm and pattern generation,” Brain Res. Rev. 57, 134–146
Teng, L., Wu, X., Chen, W. & Wang, J. [2012] “Central pattern generators of adaptive frequency for locomotion control of quadruped robots,” 2012 10th IEEE Int. Conf. Industrial Informatics (INDIN ), pp. 586– 590
Ueta, T. & Chen, G. [2003] “On synchronization and control of coupled Wilson–Cowan neural oscillators,” Int. J. Bifurcation and Chaos 13, 163
Wright, T. M. M. & Calabrese, R. L. [2011] “Patterns of presynaptic activity and synaptic strength interact to produce motor output,” J. Neurosci. 31, 17555– 17571.
dc.rights.eng.fl_str_mv Derechos reservados - World Scientific Publishing Company, 2013
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.uri.eng.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.accessrights.eng.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.spa.fl_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
rights_invalid_str_mv Derechos reservados - World Scientific Publishing Company, 2013
https://creativecommons.org/licenses/by-nc-nd/4.0/
Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 12 páginas
dc.format.mimetype.eng.fl_str_mv application/pdf
dc.publisher.eng.fl_str_mv World Scientific Publishing Company
institution Universidad Autónoma de Occidente
bitstream.url.fl_str_mv https://red.uao.edu.co/bitstreams/6d8da5a9-91d1-4708-b559-92af0533d3b9/download
https://red.uao.edu.co/bitstreams/5f4298ed-310c-412c-b46d-631d15503aa2/download
https://red.uao.edu.co/bitstreams/55fa8dfe-b2a3-4d92-b8b0-98d91c0e6f6a/download
https://red.uao.edu.co/bitstreams/3dd6749a-b3c0-4a13-853d-c832aab816eb/download
bitstream.checksum.fl_str_mv 20b5ba22b1117f71589c7318baa2c560
ce459e7c4959dc222b61c8a91751b6ae
ac7c588f90ab21fb83e1d215b9f65771
c42af079f0eba4463fffe97e68af250a
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Digital Universidad Autonoma de Occidente
repository.mail.fl_str_mv repositorio@uao.edu.co
_version_ 1808478964735279104
spelling Hurtado López, Juliánvirtual::2358-1Ramirez-Moreno, David Fernando16bf18aae8328ea4ee189b2effbb615d2022-08-23T14:38:33Z2022-08-23T14:38:33Z201302181274https://hdl.handle.net/10614/14205Universidad Autónoma de OccidenteRepositorio Educativo Digitalhttps://red.uao.edu.co/In vertebrates, the central nervous system processes sensorial input from surroundings and in most of the cases determines motor responses accordingly. There exist specialized synaptic circuits or neural networks for generating and maintaining periodic motor signals necessary for the animal’s locomotion as walking, trotting, running or swimming. Recent works have addressed the study of animal locomotion by modeling the neural networks in charge of controlling the rhythmic movements of legs and motor appendices in bipeds, quadrupeds and hexapods [Kiehn et al., 2008]. These works have been extended to modeling and controlling the movements of legged robots [Teng et al., 2012; Mondal et al., 2011]. These synaptic circuits and neural networks or central pattern generators (CPG) [McCrea & Rybak, 2008] exhibit a nonlinear dynamics leading to nonlinear oscillations.12 páginasapplication/pdfengWorld Scientific Publishing CompanyDerechos reservados - World Scientific Publishing Company, 2013https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_abf2Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generatorArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Redes neuronales (Computadores)Neural networksDynamical system analysisNonlinear dynamicsHopf bifurcationBranch point bifurcationCentral pattern generator128123Hurtado López, J., Ramírez Moreno, D. F. (2013). Nonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator. International Journal of Bifurcation and Chaos. 23 (8), 1-12. https://www.researchgate.net/publication/256731166_Nonlinear_Dynamics_of_An_Oscillatory_Neural_Network_Acting_as_a_Motor_Central_Pattern_Generator/link/004635267c452c8a71000000/downloadInternational Journal of Bifurcation and ChaosBorgmann, A., Hooper, S. L. & B¨uschges, A. [2009] “Sensory feedback induced by front-leg stepping entrains the activity of central pattern generators in caudal segments of the stick insect walking system,” J. Neurosci. 29, 2972–2983Borisyuk, G. N., Borisyuk, R. M., Khibnik, A. I. & Roose, D. [1995] “Dynamics and bifurcations of two coupled neural oscillators with different connection types,” Bull. Math. Biol. 57, 809–840.Golubitsky, M. & Stewart, I. [2006] “Nonlinear dynamics of networks: The groupoid formalism,” Bull. Amer. Math. Soc. 43, 305–364Ijspeert, A. J. [2008] “Central pattern generators for locomotion control in animals and robots: A review,” Neural Networks 21, 642–653Kiehn, O., Quinlan, K. A., Restrepo, C. E., Lundfald, L., Borgius, L., Talpalar, A. E. & Endo, T. [2008] “Excitatory components of the mammalian locomotor CPG,” Brain Res. Rev. 57, 56–63McCrea, D. A. & Rybak, I. A. [2008] “Organization of mammalian locomotor rhythm and pattern generation,” Brain Res. Rev. 57, 134–146Teng, L., Wu, X., Chen, W. & Wang, J. [2012] “Central pattern generators of adaptive frequency for locomotion control of quadruped robots,” 2012 10th IEEE Int. Conf. Industrial Informatics (INDIN ), pp. 586– 590Ueta, T. & Chen, G. [2003] “On synchronization and control of coupled Wilson–Cowan neural oscillators,” Int. J. Bifurcation and Chaos 13, 163Wright, T. M. M. & Calabrese, R. L. [2011] “Patterns of presynaptic activity and synaptic strength interact to produce motor output,” J. Neurosci. 31, 17555– 17571.Comunidad universitaria en generalPublication77636374-92e2-4d63-9b49-bdb0a2ea1182virtual::2358-177636374-92e2-4d63-9b49-bdb0a2ea1182virtual::2358-1https://scholar.google.com/citations?user=7Pqx31YAAAAJ&hl=esvirtual::2358-10000-0002-3773-0598virtual::2358-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000828963virtual::2358-1LICENSElicense.txtlicense.txttext/plain; charset=utf-81665https://red.uao.edu.co/bitstreams/6d8da5a9-91d1-4708-b559-92af0533d3b9/download20b5ba22b1117f71589c7318baa2c560MD52ORIGINALNonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator.pdfNonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator.pdfTexto archivo completo del artículo de revista, PDFapplication/pdf1076943https://red.uao.edu.co/bitstreams/5f4298ed-310c-412c-b46d-631d15503aa2/downloadce459e7c4959dc222b61c8a91751b6aeMD53TEXTNonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator.pdf.txtNonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator.pdf.txtExtracted texttext/plain26355https://red.uao.edu.co/bitstreams/55fa8dfe-b2a3-4d92-b8b0-98d91c0e6f6a/downloadac7c588f90ab21fb83e1d215b9f65771MD54THUMBNAILNonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator.pdf.jpgNonlinear dynamics of an oscilattory neural network acting as a motor central pettern generator.pdf.jpgGenerated Thumbnailimage/jpeg12639https://red.uao.edu.co/bitstreams/3dd6749a-b3c0-4a13-853d-c832aab816eb/downloadc42af079f0eba4463fffe97e68af250aMD5510614/14205oai:red.uao.edu.co:10614/142052024-03-06 15:02:45.068https://creativecommons.org/licenses/by-nc-nd/4.0/Derechos reservados - World Scientific Publishing Company, 2013open.accesshttps://red.uao.edu.coRepositorio Digital Universidad Autonoma de Occidenterepositorio@uao.edu.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