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Contact Algorithms for Contact Dynamical Systems

In: Symplectic Geometric Algorithms for Hamiltonian Systems

Author

Listed:
  • Kang Feng

    (Institute of Computational Mathematics and Scientific/Engineering Computing)

  • Mengzhao Qin

    (Institute of Computational Mathematics and Scientific/Engineering Computing)

Abstract

An odd-dimensional manifold cannot admit a symplectic structure. The analogue of symplectic structure for odd-dimensional manifolds is a little less symmetric, but is also a very interesting structure — the contact structure. In this chapter, we apply the ideas of preserving Lie group and Lie algebra structure of dynamical systems in constructing symplectic algorithms for Hamiltonian systems to the study of numerical algorithms for contact dynamical systems and present so-called contact algorithms, i.e., algorithms preserving contact structure, for solving numerically contact systems.

Suggested Citation

  • Kang Feng & Mengzhao Qin, 2010. "Contact Algorithms for Contact Dynamical Systems," Springer Books, in: Symplectic Geometric Algorithms for Hamiltonian Systems, chapter 0, pages 477-497, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01777-3_12
    DOI: 10.1007/978-3-642-01777-3_12
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