References
91
10. Kantz, H.: A robust method to estimate the maximal Lyapunov exponent of a time series. Phys.
Lett. A 185, 77–87 (1994)
11. Sato, S., Sano, M., Sawada, Y.: Practical methods of measuring the generalized dimension and
the largest Lyapunov exponent in high dimensional chaotic systems. Prog. Theor. Phys. 77,
1–7 (1987)
12. Eckmann, J.-P., Ruelle, D.: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys.
57, 617–656 (1985)
13. Rosenstein, M.T., Collins, J.J., De Luca, C.J.: A practical method for calculating largest Lyapunov exponents from small data sets. Phys. D 65, 117–134 (1993)
14. Lim, C.W., Wang, C.M.: Exact variational nonlocal stress modelling with asymptotic higherorder strain gradients for nanobeams. J. Appl. Phys. 101, 054312 (2007)
15. Wang, C.M., Zhang, Y.Y., Kitipornchai, S.: Vibration of initially stressed micro- and nanobeams. Int. J. Struct. Stab. Dyn. 7, 555–570 (2007)
91
10. Kantz, H.: A robust method to estimate the maximal Lyapunov exponent of a time series. Phys.
Lett. A 185, 77–87 (1994)
11. Sato, S., Sano, M., Sawada, Y.: Practical methods of measuring the generalized dimension and
the largest Lyapunov exponent in high dimensional chaotic systems. Prog. Theor. Phys. 77,
1–7 (1987)
12. Eckmann, J.-P., Ruelle, D.: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys.
57, 617–656 (1985)
13. Rosenstein, M.T., Collins, J.J., De Luca, C.J.: A practical method for calculating largest Lyapunov exponents from small data sets. Phys. D 65, 117–134 (1993)
14. Lim, C.W., Wang, C.M.: Exact variational nonlocal stress modelling with asymptotic higherorder strain gradients for nanobeams. J. Appl. Phys. 101, 054312 (2007)
15. Wang, C.M., Zhang, Y.Y., Kitipornchai, S.: Vibration of initially stressed micro- and nanobeams. Int. J. Struct. Stab. Dyn. 7, 555–570 (2007)