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Two New Fourth-Order Three-Stage Symplectic Integrators |
| LI Rong, WU Xin**
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School of Science, Nanchang University, Nanchang 330031
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| Cite this article: |
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LI Rong, WU Xin 2011 Chin. Phys. Lett. 28 070201 |
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Abstract Two new fourth-order three-stage symplectic integrators are specifically designed for a family of Hamiltonian systems, such as the harmonic oscillator, mathematical pendulum and lattice φ4 model. When the nonintegrable lattice φ4 system is taken as a test model, numerical comparisons show that the new methods have a great advantage over the second-order Verlet symplectic integrators in the accuracy of energy, become explicitly better than the usual non-gradient fourth-order seven-stage symplectic integrator of Forest and Ruth, and are almost equivalent to a fourth-order seven-stage force gradient symplectic integrator of Chin. As the most important advantage, the new integrators are convenient for solving the variational equations of many Hamiltonian systems so as to save a great deal of the computational cost when scanning a lot of orbits for chaos.
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| Keywords:
02.70.-c
05.10.-a
45.10.-b
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Received: 04 March 2011
Published: 29 June 2011
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| PACS: |
02.70.-c
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(Computational techniques; simulations)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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45.10.-b
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(Computational methods in classical mechanics)
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