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- W3023893642 abstract "In this paper, we consider the reducibility of the quasiperiodic linear Hamiltonian system <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mover accent=true><mml:mi>x</mml:mi><mml:mo>̇</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mfenced open=( close=)><mml:mrow><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>ε</mml:mi><mml:mi>Q</mml:mi><mml:mfenced open=( close=)><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:math>, where <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mi>A</mml:mi></mml:math> is a constant matrix with possible multiple eigenvalues, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mi>Q</mml:mi><mml:mfenced open=( close=)><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:mfenced></mml:math> is analytic quasiperiodic with respect to <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mi>t</mml:mi></mml:math>, and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mi>ε</mml:mi></mml:math> is a small parameter. Under some nonresonant conditions, it is proved that, for most sufficiently small <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mi>ε</mml:mi></mml:math>, the Hamiltonian system can be reduced to a constant coefficient Hamiltonian system by means of a quasiperiodic symplectic change of variables with the same basic frequencies as <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:mi>Q</mml:mi><mml:mfenced open=( close=)><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:mfenced></mml:math>. Applications to the Schrödinger equation are also given." @default.
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- W3023893642 date "2020-05-05" @default.
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- W3023893642 title "On the Reducibility of Quasiperiodic Linear Hamiltonian Systems and Its Applications in Schrödinger Equation" @default.
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- W3023893642 doi "https://doi.org/10.1155/2020/6260253" @default.
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