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Multiple partial integrals of polynomial Hamiltonian systems
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We consider an autonomous real polynomial Hamiltonian ordinary differential system. Sufficient conditions for the construction of additional first integrals on polynomial partial integrals and multiple polynomial partial integrals are obtained. Classes of autonomous polynomial Hamiltonian ordinary differential systems with first integrals which analytically expressed by multiple polynomial partial integrals are identified. Also we present examples that illustrate the theoretical results.
Ion Creanga State Pedagogical University
Title: Multiple partial integrals of polynomial Hamiltonian systems
Description:
We consider an autonomous real polynomial Hamiltonian ordinary differential system.
Sufficient conditions for the construction of additional first integrals on polynomial partial integrals and multiple polynomial partial integrals are obtained.
Classes of autonomous polynomial Hamiltonian ordinary differential systems with first integrals which analytically expressed by multiple polynomial partial integrals are identified.
Also we present examples that illustrate the theoretical results.
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