Volume 16, Issue 4, December 2009, Pages 455 - 464
Orbital Linearization in the Quadratic Lotka–Volterra Systems Around Singular Points Via Lie Symmetries
Received 11 February 2009, Accepted 8 June 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925109000480How to use a DOI?
- Keywords
- Lotka–Volterra system; Lie symmetries; linearization and orbitally linearization problem
- Abstract
In this paper, we consider linearizability and orbital linearizability properties of the Lotka–Volterra system in the neighborhood of a singular point with eigenvalues 1 and -q. In this paper we give the explicit smooth near-identity change of variables that linearizes or orbital linearizes such Lotka–Volterra system with q ∈ ℕ\{0, 1} being seen that these changes are also valid for q ∈ ℂ\{0, 1}.
- Copyright
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Jaume Giné AU - Susanna Maza PY - 2021 DA - 2021/01/07 TI - Orbital Linearization in the Quadratic Lotka–Volterra Systems Around Singular Points Via Lie Symmetries JO - Journal of Nonlinear Mathematical Physics SP - 455 EP - 464 VL - 16 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000480 DO - 10.1142/S1402925109000480 ID - Giné2021 ER -