Studying the Oscillation, Rotation, and Wandering Indicators by the First Approximation

Studying the Oscillation, Rotation, and Wandering Indicators by the First Approximation

Oscillation, rotation, and wandering indicators similar to Lyapunov exponents and adapted to nonlinear systems of differential equations are studied. A variety of both guaranteed and various realizable relationships between linear, spherical, radial, and ball versions of these indicators are listed,...

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Veröffentlicht in:Differential equations 2023-06, Vol.59 (6), p.741-750
1. Verfasser: Sergeev, I. N.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Difference and Functional Equations
Differential equations
Indicators
Liapunov exponents
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear systems
Ordinary Differential Equations
Partial Differential Equations
Rotation
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Beschreibung
Zusammenfassung:Oscillation, rotation, and wandering indicators similar to Lyapunov exponents and adapted to nonlinear systems of differential equations are studied. A variety of both guaranteed and various realizable relationships between linear, spherical, radial, and ball versions of these indicators are listed, and their relationships with similar indicators of the first approximation system are considered.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266123060034