Oscillation, Rotation, and Wandering of Solutions to Linear Differential Systems
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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.
Keywords and phrasesdifferential equation linear system autonomous system zeros of solution oscillation rotation wandering characteristic exponent
AMS Subject Classification34C10, 34D08
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