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Minimal P-symmetric period problem of first-order autonomous Hamiltonian systems
Received date: 29 Nov 2016
Accepted date: 02 Jan 2017
Published date: 20 Apr 2017
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Let P ∈ Sp(2n) satisfying Pk = I2n. We consider the minimal Psymmetric period problem of the autonomous nonlinear Hamiltonian system . For some symplectic matrices P, we show that for any τ>0, the above Hamiltonian system possesses a kτ periodic solution x with kτ being its minimal P-symmetric period provided H satisfies Rabinowitz’s conditions on the minimal period conjecture, together with that H is convex and H(Px) = H(x).
Chungen LIU , Benxing ZHOU . Minimal P-symmetric period problem of first-order autonomous Hamiltonian systems[J]. Frontiers of Mathematics in China, 2017 , 12(3) : 641 -654 . DOI: 10.1007/s11464-017-0627-2
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