Oscillation, Rotation, and Wandering of Solutions to Linear Differential Systems
Journal Article
·
· Journal of Mathematical Sciences
For solutions of a linear system on the semi-axis, we introduce a series of Lyapunov exponents that describe the oscillation, rotation, and wandering properties of these solutions. In the case of systems with constant matrices, these exponents are closely related to the imaginary parts of the eigenvalues. We examine the problem on the existence of a similar relationship in the case of piecewise constant of arbitrary systems.
- OSTI ID:
- 22771269
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 5 Vol. 230; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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