Taming chaotic solitons in Frenkel-Kontorova chains by weak periodic excitations.

@article{Martnez2004TamingCS,
  title={Taming chaotic solitons in Frenkel-Kontorova chains by weak periodic excitations.},
  author={Pedro J Mart{\'i}nez and Ricardo Chac{\'o}n},
  journal={Physical review letters},
  year={2004},
  volume={93 23},
  pages={237006}
}
We have proposed theoretically and confirmed numerically the possibility of controlling chaotic solitons in damped, driven Frenkel-Kontorova chains subjected to additive bounded noise by weak periodic excitations. Theoretically, we obtained an effective equation of motion governing the dynamics of the soliton center of mass for which we deduced Melnikov's… CONTINUE READING