Geodesic
The complete set of relations between the oscillation, rotation and wandering indicators of~solutions of differential systems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 171-183

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In this paper a number of Lyapunov indicators is defined for non-trivial solutions of linear systems on semiaxis to be responsible for their oscillation, rotation and wandering. The indicators are obtained from some functionals of solutions on finite intervals as a result of averaging over time and minimizing for all bases in the phase space. We give a set of relations (equalities or inequalities) between introduced indicators. The set is proved to be full, that is, it cannot be supplemented or strengthened by any meaningful relation.
Keywords: differential equations, linear system, wandering, indicators of solutions, Lyapunov exponents.
Mots-clés : oscillation, rotation 
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     title = {The complete set of relations between the oscillation, rotation and wandering indicators of~solutions of differential systems},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
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I. N. Sergeev. The complete set of relations between the oscillation, rotation and wandering indicators of~solutions of differential systems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 171-183. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a22/