Calculating the Poincaré Map for Two-Dimensional Periodic Systems and Riccati Equations

Author:

Mironenko V. I.,Mironenko V. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference11 articles.

1. Mironenko, V.I. and Mironenko, V.V., Explicit calculation of the Poincaré map of a linear periodic system, Differ. Equations, 2021, vol. 57, no. 2, pp. 182–188.

2. Arnol’d, V.I., Obyknovennye differentsial’nye uravneniya (Ordinary Differential Equations), Moscow: Nauka, 1984.

3. Henry, D., Geometric Theory of Semilinear Parabolic Equations, Berlin–Heidelberg–New York: Springer-Verlag, 1981. Translated under the title: Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Moscow: Mir, 1985.

4. Mironenko, V.I., Reflecting function and stabilization of periodic differential systems, Differ. Uravn., 1984, vol. 20, no. 9, pp. 1635–1638.

5. Mironenko, V.I., Otrazhayushchaya funktsiya i periodicheskie resheniya differentsial’nykh uravnenii (Reflecting Function and Periodic Solutions of Differential Equations), Minsk: Inst. Mat. Nats. Akad. Nauk Belarusi, 1986.

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1. On the qualitative behavior of a class of the Λ − Ω differential systems;Mathematical Methods in the Applied Sciences;2023-03-04

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