On a Hamiltonian version of a three-dimensional Lotka-Volterra system

DOI10.1016/j.nonrwa.2012.01.025zbMath1257.34037OpenAlexW2051846887MaRDI QIDQ1926203

Anania Gîrban, Răzvan M. Tudoran

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.01.025

zbMATH Keywords

Hamiltonian dynamicsLotka-Volterra systemstability of equilibriaPoincaré compactificationenergy-Casimir mapping

Mathematics Subject Classification ID

Related Items (13)

Stability and energy-Casimir mapping for integrable deformations of the Kermack-McKendrick system ⋮ Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity ⋮ Symplectic realizations and symmetries of a Lotka-Volterra type system ⋮ On a Hamilton-Poisson approach of the Maxwell-Bloch equations with a control ⋮ Asymptotic stabilization with phase of periodic orbits of three-dimensional Hamiltonian systems ⋮ The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping ⋮ Global dynamics of a Lotka–Volterra system in ℝ³ ⋮ Global dynamics of 3D cooperative Lotka-Volterra system with the identical intrinsic growth rate ⋮ On the dynamics of a class of Kolmogorov systems ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity ⋮ Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B ⋮ On a deformed version of the two-disk dynamo system.

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