Geodesic
Oscillation, Rotation, and Wandering Exponents of Solutions of Differential Systems
Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 732-751

Voir la notice de l'article provenant de la source Math-Net.Ru

Several characteristics of the solutions of a differential system are defined and studied from a unified standpoint, namely, they are arranged in a certain order and unite all known and some new Lyapunov characteristics describing various oscillation and wandering properties. For second-order equations, all of these characteristics coincide with each other, and for autonomous systems, the set of values of each of these characteristics contains all absolute values of the imaginary parts of eigenvalues of the operator of the system.
Mots-clés : oscillation, rotation
Keywords: and wandering exponents, differential equation, linear homogeneous system, autonomous system. 
@article{MZM_2016_99_5_a7,
     author = {I. N. Sergeev},
     title = {Oscillation, {Rotation,} and {Wandering} {Exponents} of {Solutions} of {Differential} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {732--751},
     publisher = {mathdoc},
     volume = {99},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a7/}
}
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I. N. Sergeev. Oscillation, Rotation, and Wandering Exponents of Solutions of Differential Systems. Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 732-751. http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a7/