Chaotic dynamics of one-dimensional systems with periodic boundary conditions.

@article{Kumar2014ChaoticDO,
  title={Chaotic dynamics of one-dimensional systems with periodic boundary conditions.},
  author={Pankaj Kumar and Bruce N. Miller},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={90 6},
  pages={062918}
}
We provide appropriate tools for the analysis of dynamics and chaos for one-dimensional systems with periodic boundary conditions. Our approach allows for the investigation of the dependence of the largest Lyapunov exponent on various initial conditions of the system. The method employs an effective approach for defining the phase-space distance appropriate… CONTINUE READING