Bifurcation of limit cycles for 3D Lotka-Volterra competitive systems
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Publication:538391
DOI10.1007/s10440-011-9609-7zbMath1223.34073OpenAlexW2082390472MaRDI QIDQ538391
Haotao Wu, Qin-long Wang, Wen-tao Huang
Publication date: 25 May 2011
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-011-9609-7
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items (6)
On the first Lyapunov coefficient formula of 3D Lotka-Volterra equations with applications to multiplicity of limit cycles ⋮ A concrete example with multiple limit cycles for three dimensional Lotka-Volterra systems ⋮ Semi-exact equilibrium solutions for three-species competition-diffusion systems ⋮ A concrete example with three limit cycles in Zeeman's class 29 for three dimensional Lotka-Volterra competitive systems ⋮ Hopf bifurcations in a predator-prey model with an omnivore ⋮ CENTER PROBLEM FOR THIRD-ORDER ODEs
Uses Software
Cites Work
- Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle
- Hopf bifurcation for a class of three-dimensional nonlinear dynamic systems
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- Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle
- Applications of centre manifold theory
- Asymptotic analysis of interactions between highly conducting cylinders
- On some super fault-tolerant Hamiltonian graphs
- Limit cycles for the competitive three dimensional Lotka-Volterra system
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- A cubic system with twelve small amplitude limit cycles
- Uniformly Persistent Systems
- Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
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