High Order Melnikov Method

  • (With Ali Oksasoglu) High Order Melnikov Method: Pendulums
    JDE Vol. 312(1) (2022) 176-208 [pdf file]

  • Non-dominance of the Melnikov Function: an Example
    Preprint (2021) [pdf file]

  • Exponentially Small Splitting: A Direct Approach
    JDE Vol. 269(1) (2020), 954-1036 [pdf file]

  • (With Fengjuan Chen) High Order Melnikov Method: Theory and Application
    JDE Vol 267(2) (2019), 1095-1128 [pdf file]

  • (With Fengjuan Chen) High Order Melnikov Method for Time-Periodic Equations
    Adv. Nonlinear Stud. 17(4) (2017), 793-818 [pdf file]