Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics

Details Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics

1996-12-10

arxiv.org/abs/chao-dyn/9612018v1

Phys. Rev. E 55, 3693 (1997)

Nonlinear Sciences

Chaotic Dynamics

revtex, 4 pages, no figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.55.3693

The Nose Hamiltonian is adapted, leading to a derivation of the Nose-Hoover
equations of motion which does not involve time transformations, and in which
the degree of freedom corresponding to the external reservoir is treated on the
same footing as those of the rest of the system. In this form it is possible to
prove the conjugate pairing rule for Lyapunov exponents of this system.

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