论文信息 - Direct measurement of Lyapunov exponents

Direct measurement of Lyapunov exponents

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

William G. Hoover | Harald A. Posch

[1] S. Nosé. A molecular dynamics method for simulations in the canonical ensemble , 1984 .

[2] William G. Hoover,et al. High-strain-rate plastic flow studied via nonequilibrium molecular dynamics , 1982 .

[3] G. Benettin,et al. Kolmogorov Entropy and Numerical Experiments , 1976 .

[4] Denis J. Evans,et al. Flows Far From Equilibrium Via Molecular Dynamics , 1986 .

[5] Denis J. Evans,et al. Computer ‘‘experiment’’ for nonlinear thermodynamics of Couette flow , 1983 .

[6] S. Nosé. A unified formulation of the constant temperature molecular dynamics methods , 1984 .

[7] G. Ciccotti,et al. “Thought-experiments” by molecular dynamics , 1979 .

[8] William G. Hoover,et al. Nonequilibrium molecular dynamics via Gauss's principle of least constraint , 1983 .

[9] G. Morriss,et al. Isothermal response theory , 1985 .

[10] I. Shimada,et al. A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems , 1979 .

[11] Hoover,et al. Canonical dynamics: Equilibrium phase-space distributions. , 1985, Physical review. A, General physics.