A difference characteristic for one-dimensional deterministic systems

作者：Shahverdian A Yu^*; Apkarian A V

来源：Communications in Nonlinear Science & Numerical Simulation, 2007, 12(3): 233-242.

DOI：10.1016/j.cnsns.2005.02.004

• Dynamical systems
• Lyapunov exponent
• Hausdorff dimension

A numerical characteristic for one-dimensional deterministic systems reflecting its higher order difference structure is introduced. The comparison with Lyapunov exponent is given. A difference analogy for Eggleston theorem as well as an estimate for Hausdorff dimension of the difference attractor, formulated in terms of the new characteristic is proved.

• 出版日期2007-6
• 单位西北大学