Description

• Title:
  Periodic solutions to reversible second order autonomous systems with commensurate delays
• Creator:
  Balanov, Zalman;
  Chen, Fulai;
  Guo, Jing;
  Krawcewicz, Wiesław
• Description:
  Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times \Gamma \times \mathbb Z_2$-equivariant degree theory, where $O(2)$ is related to the reversing symmetry, $\Gamma$ reflects the symmetric character of the coupling in the corresponding network and $\mathbb Z_2$ is related to the oddness of the right-hand side. Abstract results are supported by a concrete example with $\Gamma = D_6$ - the dihedral group of order 12.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2021.06.07
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 59, No 2A (June 2022); 475 - 498;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/34357/29092 ;https://apcz.umk.pl/TMNA/article/view/34357/29093
• Subject:
  Second order delay-differential equations;
  periodic solutions;
  commensurate delays;
  Brouwer equivariant degree;
  Burnside ring;
  reversible systems;
  equivariant systems;
  Primary;
  34K13;
  37J45;
  37C80;
  47H11;
  Secondary;
  39A23
• Identifier: https://apcz.umk.pl/TMNA/article/view/34357
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other