Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle (Q597221)
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scientific article; zbMATH DE number 2082580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle |
scientific article; zbMATH DE number 2082580 |
Statements
Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle (English)
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6 August 2004
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Consider the three-dimensional Lotka-Volterra system \[ {dx\over dt}= \text{diag}(x)A(x- 1),\quad x\in\mathbb{R}^3.\tag{*} \] The authors construct a matrix \(A\) such that \((*)\) has a heteroclinic cycle and three limit cycles.
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Lotka-Volterra systems
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competitive
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Hopf bifurcation
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limit cycles
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