Zobrazeno 1 - 10 of 12 pro vyhledávání: '"T. V. Salova"'
1
The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems
Autor: T. V. Salova
Publikováno v: Moscow University Mathematics Bulletin. 72:226-232
It is proved that each linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) stabilizable and destabilizable by infinitesimal Hamiltonian perturbation.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::77326cd6b05db0e476bedc3b5c83bfad
https://doi.org/10.3103/s002713221706002x
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2
Proof of Simultaneous Conditional Exponential Stabilization and Destabilization of Linear Hamiltonian Systems
Autor: T. V. Salova
Publikováno v: Moscow University Mathematics Bulletin. 73:168-170
It is proved that any linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) exponentially stabilizable and destabilizable by uniformly small Hamiltonian perturbations.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4d60efb1143e7e3fe18d377831da0a34
https://doi.org/10.3103/s0027132218040095
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3
Proof of the strengthened version of simultaneous attainability of central exponents in the class of Hamiltonian systems
Autor: T. V. Salova
Publikováno v: Moscow University Mathematics Bulletin. 72:177-179
The central exponents of a linear Hamiltonian system are moved apart through uniformly small Hamiltonian perturbations of its coefficients, and then they are simultaneously attained by the Lyapunov exponents through infinitesimally small perturbation
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d5e5eb1f022a5170c33cbfb1c6e3ef14
https://doi.org/10.3103/s0027132217040088
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5
The efficiency of perturbations in the class of linear Hamiltonian systems
Autor: T. V. Salova
Publikováno v: Moscow University Mathematics Bulletin. 70:274-277
It is proved that the set of all limiting values of solutions’ arbitrary indicators under uniformly small perturbations of coefficients of a linear Hamiltonian system is the same as the similar set obtained by uniformly small Hamiltonian perturbati
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7633a754cacfd539cb89114f0efd3144
https://doi.org/10.3103/s0027132215060078
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6
Simultaneous attainability of central exponents of four-dimensional Hamiltonian systems under infinitesimal Hamiltonian perturbations
Autor: T. V. Salova
Publikováno v: Differential Equations. 50:1435-1448
We show that, for each four-dimensional linear Hamiltonian system with bounded piecewise continuous coefficients, there exists an infinitesimal perturbation of its coefficients such that the greatest and least Lyapunov exponents of the perturbed syst
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b11b5b05bf70cd9dfb944741e9d823eb
https://doi.org/10.1134/s0012266114110020
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7
On the effectiveness of perturbations in the class of linear Hamiltonian systems
Autor: T. V. Salova
Publikováno v: Differential Equations. 51:144-145
We show that the set of all limit values of arbitrary exponents of solutions under uniformly small perturbations of the coefficients of a linear Hamiltonian system coincides with the similar set for uniformly small Hamiltonian perturbations of the sa
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1bacc65d378bb04455517cb427744b31
https://doi.org/10.1134/s0012266115010152
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8
On the simultaneous conditional stabilizability and destabilizability of linear Hamiltonian systems
Autor: T. V. Salova
Publikováno v: Differential Equations. 50:1681-1682
Every linear Hamiltonian system is simultaneously conditionally stabilizable (with respect to a subspace of half dimension) and destabilizable by infinitesimal Hamiltonian perturbations; it is also simultaneously conditionally exponentially stabiliza
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0f84447478e3b08f3c9633e097a0807f
https://doi.org/10.1134/s0012266114120131
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9
Simultaneous attainability of the central exponents of small-dimensional linear Hamiltonian systems
Autor: T. V. Salova
Publikováno v: Differential Equations. 50:1407-1407
We claim that the upper and lower central exponents of linear Hamiltonian systems of second and fourth orders are simultaneously attainable under uniformly small and infinitesimal Hamiltonian perturbations.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::648154326c13399437139532943c1db5
https://doi.org/10.1134/s0012266114100188
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