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• W4280492820 abstract "For a skew-symmetric non-degenerate 2n×2n matrix J∈L2n(R) and a J-symplectic matrix M with MTJ−1M=J−1, in this paper we redefine the Maslov-type (J,M)-index for J-symplectic path and develop the iteration theory of the Maslov-type (J,M)-index theory. As applications we study the minimal period problems for M-symmetric orbits of nonlinear autonomous supper-quadratic general Hamiltonian systems, where M is a J-symplectic matrix satisfying Mk=I2n. Also we study the minimal periodic problem for some super-linear delay systems as applications, and we give a positive answer to the Rabinowitz-type minimal period problem for a kind of super-linear delay equations with the forms studied by Kaplan and Yorke in [12]." @default.
• W4280492820 created "2022-05-22" @default.
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• W4280492820 date "2022-08-01" @default.
• W4280492820 modified "2023-09-27" @default.
• W4280492820 title "Minimal <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:mi mathvariant=script>M</mml:mi></mml:math>-symmetric periodic solutions of general Hamiltonian systems and delay differential equations" @default.
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• W4280492820 doi "https://doi.org/10.1016/j.jde.2022.04.039" @default.
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