Oriented Rotatability Exponents of Solution of Autonomous Differential Systems

DOI10.46698/A8125-0078-5238-YOpenAlexW4296757891MaRDI QIDQ5051738

A. Kh. Stash

Publication date: 18 November 2022

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj830

zbMATH Keywords

differential equationsautonomous systemexponents of oscillationexponents of oriented rotatability

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (1)

Spectra of Oscillation and Rotatability Exponents of Solutions of Homogeneous Differential Systems

Cites Work

• Oscillation, rotation, and wandering exponents of solutions of differential systems
• Properties of characteristic frequencies of linear equations of arbitrary order
• Remark on the theory of Sergeev frequencies of zeros, signs, and roots for solutions of linear differential equations. I
• Definition and properties of characteristic frequencies of a linear equation
• Coincidence of complete and vector frequencies of solutions of a linear autonomous system
• Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems
• Weighted means, strict ergodicity, and uniform distributions
• The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems
• Oscillation and wandering characteristics of solutions of a linear differential system
• Properties of exponents of oscillation of linear autonomous differential system solutions

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