On the Dynamics of Lotka--Volterra Equations Having an Invariant Hyperplane

DOI10.1137/S0036139997319463zbMath0936.37032OpenAlexW1969271823MaRDI QIDQ4258468

Manfred Plank

Publication date: 13 September 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997319463

zbMATH Keywords

Hamiltonian systemLotka-Volterra equationeven-dimensional equationsflow invariant hyperplaneodd-dimensional equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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