English

Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory

Chaotic Dynamics 2017-11-07 v9

Abstract

The conditional Lyapunov exponent is defined for investigating chaotic synchronization, in particular complete synchronization and generalized synchronization. We find that the conditional Lyapunov exponent is expressed as a formula in terms of ergodic theory. Dealing with this formula, we find what factors characterize the conditional Lyapunov exponent in chaotic systems.

Keywords

Cite

@article{arxiv.1701.01919,
  title  = {Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory},
  author = {Masaru Shintani and Ken Umeno},
  journal= {arXiv preprint arXiv:1701.01919},
  year   = {2017}
}

Comments

7pages,7figures