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Symmetric Brake Orbits with Minimal Period of First-order Anisotropic Hamiltonian Systems

  • Xiao Fei Zhang,
  • Fan Jing Wang

摘要

Via the homology link theorem and the L0-index theory, symmetric brake orbits with minimal period are ensured for first-order Hamiltonian systems under anisotropic growth assumptions, which are variant forms of sub-quadratic growth conditions.