Work

Local dynamics and bifurcation for a two-dimensional cubic Lotka-Volterra system (Part II)

Year: 2024

Type: article

Abstract: The local bifurcation and dynamics for a two-dimensional cubic Kolmogorov system, depending on two small parameters, in certain hypotheses on the coefficients, are investigated. The paper continues the study performed in [4], by treating two non-generic cases, corresponding to the hypotheses that one of the significant coefficients vanishes. In the first non-generic case, the local dynamics is found to be similar to the one obtained in the generic case treated in [4]. In the second non-generic case new possibilities of behavior are found.

Source: Annals of the University of Craiova Mathematics and Computer Science Series

DOI: 10.52846/ami.v51i2.2070

Authors: Sterpu Mihaela, Efrem Raluca

Institution: University of Craiova

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4406767674

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Cites: 14

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Related to: 10