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The existence of periodic orbits and invariant tori for some 3-dimensional quadratic systems.


ABSTRACT: We use the normal form theory, averaging method, and integral manifold theorem to study the existence of limit cycles in Lotka-Volterra systems and the existence of invariant tori in quadratic systems in ℝ(3).

SUBMITTER: Jiang Y 

PROVIDER: S-EPMC3984815 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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