INVARIANT TORUS IN 3D LOTKA–VOLTERRA SYSTEMS: THE NONDEGENERACY CONDITION

DOI10.1142/S0218127410026423zbMath1193.34083OpenAlexW2054252709MaRDI QIDQ3586842

Henryk Żołądek, Paweł Lubowiecki

Publication date: 1 September 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410026423

zbMATH Keywords

Hopf bifurcationLotka-Volterra systeminvariant torus

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Invariant manifolds for ordinary differential equations (34C45) Multifrequency systems of ordinary differential equations (34C46)

Related Items

Invariant torus in 3D Lotka-Volterra systems appearing after perturbation of Hopf center

Cites Work

• Quadratic systems with center and their perturbations
• LIMIT CYCLES IN 3D LOTKA–VOLTERRA SYSTEMS APPEARING AFTER PERTURBATION OF HOPF CENTER
• The three-dimensional generalized Lotka–Volterra systems