Symplectic Transformations and a Reduction Method for Asymptotically Linear Hamiltonian Systems |
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Authors: | Rong Cheng |
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Institution: | 1.College of Mathematics and Physics,Nanjing University of Information Science and Technology,Nanjing,China;2.Department of Mathematics,Southeast University,Nanjing,China |
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Abstract: | In many fields of applications, especially in applications from mechanics, many equations of motion can be written as Hamiltonian
systems. In this paper, we study a class of asymptotically linear Hamiltonian systems. We construct a symplectic transformation
which reduces the linear systems of the Hamiltonian systems. This reduction method can be applied to study the existence of
periodic solutions for a class of asymptotically linear Hamiltonian systems under weaker conditions on the linear systems
of the Hamiltonian systems. |
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Keywords: | |
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