The integrability and the zero-Hopf bifurcation of the three dimensional Lotka-Volterra systems
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Publication:3382127
DOI10.1063/1.5020487zbMath1469.37062OpenAlexW2782971311MaRDI QIDQ3382127
Publication date: 20 September 2021
Published in: AIP Conference Proceedings (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5020487
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
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Cites Work
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- Zero-Hopf bifurcation for a class of Lorenz-type systems
- On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system
- Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity
- The inner equation for generic analytic unfoldings of the Hopf-zero singularity
- \(3\)-dimensional Hopf bifurcation via averaging theory of second order
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Averaging methods for finding periodic orbits via Brouwer degree.
- On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables
- The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities
- Zero-Hopf bifurcation in a Chua system
- Periodic solutions of nonlinear periodic differential systems with a small parameter
- Zero-Hopf bifurcation in the FitzHugh-Nagumo system
- Bifurcation to Quasi-Periodic Tori in the Interaction of Steady State and Hopf Bifurcations
- Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension
- Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems
- Averaging methods in nonlinear dynamical systems
- Elements of applied bifurcation theory
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