130064 20240122171020.0 doi 10.1016/j.cnsns.2019.105047 sideral 114703 ART-2020-114703 eng Barrio, R. Universidad de Zaragoza (orcid)0000-0002-8089-343X Numerical detection of patterns in CPGs: Gait patterns in insect movement 2020 The study of the synchronization patterns of small neuron networks that control different biological processes has become a growing discipline. This paper is focused on numerical techniques to detect patterns in Central Pattern Generators (CPGs). We develop two techniques that can be used directly in general CPG models: a lateral phase lag analysis based on a graphic representation of some Poincaré maps, and a quasi-Monte Carlo sweeping with an optimized classification of the different patterns. As test example we consider a CPG of insect movement consisting of six coupled neurons following the model developed by Ghigliazza and Holmes (2004) for motoneurons in cockroaches. Previous studies in literature analyzed reduced models of dimension two obtained using phase resetting curves and averaging theory. This approach introduces a lot of simplifications that do not cover numerous non-symmetric patterns. We present an analysis of the complete model developed by combining the two proposed techniques, showing symmetric and non-symmetric patterns coexisting for different parameter values, and how the dominant patterns evolve to the tripod movement. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E22-17R info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00 info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77642-C2-2-P info:eu-repo/grantAgreement/ES/UZ/CUD2019-CIE-04 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 4.26 2020 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 11 / 108 = 0.102 2020 Q1 T1 MATHEMATICS, APPLIED 5 / 265 = 0.019 2020 Q1 T1 PHYSICS, MATHEMATICAL 3 / 55 = 0.055 2020 Q1 T1 PHYSICS, FLUIDS & PLASMAS 2 / 34 = 0.059 2020 Q1 T1 MECHANICS 23 / 135 = 0.17 2020 Q1 T1 1.159 2020 Applied Mathematics 2020 Q1 Numerical Analysis 2020 Q1 Modeling and Simulation 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lozano, Á. (orcid)0000-0002-1184-5901 Rodríguez, M. Universidad de Zaragoza (orcid)0000-0003-3426-105X Serrano, S. Universidad de Zaragoza (orcid)0000-0002-5701-1670 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 82 (2020), 105047 [20 pp.] Commun. nonlinear sci. numer. simul. Communications in Nonlinear Science and Numerical Simulation 1007-5704 5973842 http://zaguan.unizar.es/record/130064/files/texto_completo.pdf Postprint 1913495 http://zaguan.unizar.es/record/130064/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130064 articulos driver 2024-01-22-15:24:40 ARTICLE