The conjugate-pairing rule for non-Hamiltonian systems

Chaos

Volumn 8, Issue 2, 1998, Pages 337-349

  Searles, Debra J ^a,c   Evans, Denis J ^a   Isbister, Dennis J ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001028114     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166315     Document Type: Article

References (29)

1. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990).
2. S. Sarman, D. J. Evans, and G. P. Morriss, Phys. Rev. A 45, 2233 (1992).
3. H. A. Posch and W. G. Hoover, Phys. Rev. A 39, 2175 (1989).
4. P. Gaspard and G. Nicolis, Phys. Rev. Lett. 65, 1693 (1990); P. Gaspard and J. R. Dorfman, Phys. Rev. E 52, 3525 (1995).
5. P. Gaspard and G. Nicolis, Phys. Rev. Lett. 65, 1693 (1990); P. Gaspard and J. R. Dorfman, Phys. Rev. E 52, 3525 (1995).
6. E. G. D. Cohen, Physica A 213, 293 (1995).
7. D. J. Evans and D. J. Searles, Phys. Rev. E 50, 1645 (1994).
8. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. Lett. 71, 2401 (1993); G. Gallavotti and E. G. D. Cohen, J. Stat. Phys. 80, 931 (1995).
9. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. Lett. 71, 2401 (1993); G. Gallavotti and E. G. D. Cohen, J. Stat. Phys. 80, 931 (1995).
10. R. Abraham and J. E. Marsden, Foundations of Mechanics (Benjamin and Cummings, 1978); A. J. Dragt, Lectures on Nonlinear Orbit Dynamics, AIP Conf. Proc. 87 (American Institute of Physics, Woodbury, 1978), p. 147.
11. R. Abraham and J. E. Marsden, Foundations of Mechanics (Benjamin and Cummings, 1978); A. J. Dragt, Lectures on Nonlinear Orbit Dynamics, AIP Conf. Proc. 87 (American Institute of Physics, Woodbury, 1978), p. 147.
12. C. P. Dettmann and G. P. Morriss, Phys. Rev. E 53, 5545 (1996).
13. D. Gupalo, A. S. Kaganovich, and E. G. D. Cohen, J. Stat. Phys. 74, 1145 (1994).
14. J.-P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
15. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic, New York, 1990).
16. D. J. Evans and G. P. Morriss, Comput. Phys. Rep. 1, 300 (1984).
17. D. J. Evans, W. G. Hoover, B. H. Failor, B. Moran, and A. J. C. Ladd, Phys. Rev. A 28, 1016 (1983).
18. W. G. Hoover, D. J. Evans, R. B. Hickman, A. J. C. Ladd, W. T. Ashurst, and B. Moran, Phys. Rev. A 22, 1690 (1980).
19. D. J. Evans and G. P. Morriss, Phys. Rev. A 30, 1528 (1984).
20. K. F. Gauss, J. Reine, Angew. Math 4, 232 (1829).
21. W. G. Hoover, Molecular Dynamics, Lecture Notes in Physics 258 (Springer-Verlag, Berlin. 1986).
22. D. J. Searles, D. J. Isbister, and D. J. Evans, "Mathematics and computers in simulation: Non-standard applications of computer science," Math. Comput. Simulation 45, 147 (1998).
23. D. J. Isbister, D. J. Searles, and D. J. Evans, Physica A 240, 105 (1997).
24. G. Benettin, L. Galgani, and J. M. Strelcyn, Phys. Rev. A 14, 2338 (1976); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, ibid. 15, 21 (1980).
25. G. Benettin, L. Galgani, and J. M. Strelcyn, Phys. Rev. A 14, 2338 (1976); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, ibid. 15, 21 (1980).
26. G. Benettin, L. Galgani, and J. M. Strelcyn, Phys. Rev. A 14, 2338 (1976); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980); G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, ibid. 15, 21 (1980).
27. Ch. Dellago, H. A. Posch, and W. G. Hoover, Phys. Rev. E 53, 1485 (1996).
28. J. D. Weeks, D. Chandler, and H. C. Anderson, J. Chem. Phys. 54, 5237 (1985).
29. Maple V, Waterloo Maple Software.