136193 20260217205545.0 doi 10.1007/s11071-024-09830-2 sideral 139140 ART-2024-139140 eng Lozano, Álvaro Universidad de Zaragoza (orcid)0000-0002-1184-5901 Dominant patterns in small directed bipartite networks: ubiquitous generalized tripod gait 2024 Access copy available to the general public Unrestricted The synchronization patterns exhibited by small networks of neurons that regulate biological processes (CPGs) have aroused growing scientific interest. In many of these networks there is a main behavioral pattern within the parameter space. In particular, in the context of insect locomotion, tripod walking stands out as a predominant pattern, both in natural observations (where insects walk on tripod gait) and in mathematical models. This predominance appears to be stable under parameter variations within the network, suggesting a possible correlation with the underlying network topology. Tripod walking can be naturally extended to all CPGs with a bipartite connectivity. Then a natural question arises: Are “generalized tripod gaits” equally dominant among synchronization patterns within those networks? To investigate this, we carried out a comprehensive study covering all bipartite networks of up to nine neurons. For each of those networks we numerically explore the phase space using a quasi-MonteCarlo method to see what are the main synchronization patterns that the network can achieve. Then, all those patterns are grouped according to their dynamics. Generalized tripod gait was observed in all cases examined as the dominant pattern again. However, certain cases revealed additional stable patterns, mainly associated with the 3-colorings of the respective graph structures. info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00 info:eu-repo/grantAgreement/ES/DGA-ER22/23R info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/grantAgreement/ES/DGA/LMP94_21 info:eu-repo/grantAgreement/EUR/MICINN/TED2021-130459B-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 6.0 2024 MECHANICS 12 / 171 = 0.07 2024 Q1 T1 ENGINEERING, MECHANICAL 17 / 182 = 0.093 2024 Q1 T1 1.201 2024 Aerospace Engineering 2024 Q1 Applied Mathematics 2024 Q1 Ocean Engineering 2024 Q1 Electrical and Electronic Engineering 2024 Q1 Mechanical Engineering 2024 Q1 Control and Systems Engineering 2024 Q1 9.3 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Vigara, Rubén Universidad de Zaragoza (orcid)0000-0001-7111-5022 Mayora-Cebollero, Carmen Universidad de Zaragoza (orcid)0000-0002-3431-0926 Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-8089-343X 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 112 (2024), 15549–15565 Nonlinear dyn. Nonlinear Dynamics 0924-090X 3051534 http://zaguan.unizar.es/record/136193/files/texto_completo.pdf Versión publicada 1777729 http://zaguan.unizar.es/record/136193/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:136193 articulos driver 2026-02-17-20:37:49 ARTICLE