Direct measurement of Lyapunov exponents

作者: William G. Hoover , Harald A. Posch

DOI: 10.1016/0375-9601(85)90659-0

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摘要: Abstract Benettin, Calgani and Strelcyn studied the dynamical separation of neighboring phase-space trajectories, determining corresponding Lyapunov exponents by discrete rescaling intertrajectory separation. We incorporate directly into equations motion, preventing instability using an effective constraint force.

参考文章(11)
Giancarlo Benettin, Luigi Galgani, Jean-Marie Strelcyn, Kolmogorov entropy and numerical experiments Physical Review A. ,vol. 14, pp. 2338- 2345 ,(1976) , 10.1103/PHYSREVA.14.2338
William G. Hoover, Canonical dynamics: Equilibrium phase-space distributions Physical Review A. ,vol. 31, pp. 1695- 1697 ,(1985) , 10.1103/PHYSREVA.31.1695
Shuichi Nosé, A unified formulation of the constant temperature molecular dynamics methods Journal of Chemical Physics. ,vol. 81, pp. 511- 519 ,(1984) , 10.1063/1.447334
William G. Hoover, Anthony J. C. Ladd, Bill Moran, High-strain-rate plastic flow studied via nonequilibrium molecular dynamics Physical Review Letters. ,vol. 48, pp. 1818- 1820 ,(1982) , 10.1103/PHYSREVLETT.48.1818
Denis J. Evans, William G. Hoover, Bruce H. Failor, Bill Moran, Anthony J. C. Ladd, Nonequilibrium molecular dynamics via Gauss's principle of least constraint Physical Review A. ,vol. 28, pp. 1016- 1021 ,(1983) , 10.1103/PHYSREVA.28.1016
G.P. Morriss, Denis J. Evans, Isothermal response theory Molecular Physics. ,vol. 54, pp. 629- 636 ,(1985) , 10.1080/00268978500100481
Shūichi Nosé, A molecular dynamics method for simulations in the canonical ensemble Molecular Physics. ,vol. 52, pp. 255- 268 ,(1984) , 10.1080/00268978400101201
G. Ciccotti, G. Jacucci, I. R. McDonald, “Thought-experiments” by molecular dynamics Journal of Statistical Physics. ,vol. 21, pp. 1- 22 ,(1979) , 10.1007/BF01011477
D. J. Evans, Computer ‘‘experiment’’ for nonlinear thermodynamics of Couette flow Journal of Chemical Physics. ,vol. 78, pp. 3297- 3302 ,(1983) , 10.1063/1.445195
I. Shimada, T. Nagashima, A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems Progress of Theoretical Physics. ,vol. 61, pp. 1605- 1616 ,(1979) , 10.1143/PTP.61.1605