First Integrals and Periodic Solutions of a System with Power Nonlinearities

DOI10.1134/S1990478918010076zbMath1413.34159OpenAlexW2791878412MaRDI QIDQ4553650

Alexander Arkad'evich Kosov, Edward Ivanovich Semenov

Publication date: 30 October 2018

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478918010076

zbMATH Keywords

periodic solutionsystem of ordinary differential equationsfirst integralelliptic Jacobi function

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (1)

On periodic solutions of a nonlinear reaction-diffusion system

Cites Work

• Evolution equations and Lagrangian coordinates
• Exact nonnegative solutions to the multidimensional nonlinear diffusion equation
• The construction of exact solutions of the multidimensional quasilinear heat-conduction equation
• Mathematical biology. Vol. 1: An introduction.
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