LIÉNARD TURI I OSSILATORLARNING KLASSIK DINAMIKASI

Authors

  • M.K. Xudoyberdiyeva Mirzo Ulug’bek nomidagi O'zbekiston Milliy Universiteti Author
  • M.B. Turopov Mirzo Ulug’bek nomidagi O'zbekiston Milliy Universiteti Author

Abstract

Mazkur mavzuda Lienard tipidagi nochiziqli ossilyatorlarning matematik modeli, ularning asosiy xossalari va qo‘llanilishi o‘rganiladi. Lienard tenglamasi asosida chegaraviy sikllarning mavjudligi shartlari tahlil qilinadi. Shuningdek, Van der Pol ossilyatorining maxsus ko‘rinishi va uning fazaviy xatti-harakati haqida ma’lumot beriladi. Ishda formulalar va grafik tahlillar orqali nochiziqli tizimlarning barqarorlik va tebranish xususiyatlari yoritiladi.

References

Liénard A 1928 Revue Générale de l'Élactricité 23 901-902

Lins A, De Melo W, and Pugh C C 2006 Geometry and Topology: III Latin American School of Mathematics Proceedings of the School held at the Instituto de Matemática Pura e Aplicada CNPg Rio de Janeiro July 1976 (Springer) 335-357

Jordan D and Smith P 2007 Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (United States, OUP Oxford)

Lakshmanan M and Chandrasekar V K 2013 The European Physical Journal Special Topics 222 665-688

Mathews P M and Lakshmanan M 1974 Quarterly of Applied Mathematics 32(2) 215-218

Mathews P M and Lakshmanan M 1975 Il Nuovo Cimento A (1965-1970) 26(3) 299-316

Published

2025-09-17

How to Cite

LIÉNARD TURI I OSSILATORLARNING KLASSIK DINAMIKASI. (2025). Innovative Research in the Modern World, 4(29), 114-116. https://in-academy.uz/index.php/ZDIT/article/view/17735