Method for finding periodic trajectories of centrally symmetric dynamical systems on the plane

DOI10.1134/S0012266119020022zbMath1419.34078OpenAlexW2930190821WikidataQ128107431 ScholiaQ128107431MaRDI QIDQ2002672

L. A. Klimina

Publication date: 12 July 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119020022

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Symmetries, invariants of ordinary differential equations (34C14)

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Uses Software

• CL_MATCONTL
• CL_MATCONT

Cites Work

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• The normal form of a system, close to a Hamiltonian system
• Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation
• An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions
• The theory of the numerical-analytic method: Achievements and new trends of development. I

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