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Volumn 112, Issue 1-2, 1998, Pages 1-39

Time-reversal symmetry in dynamical systems: A survey

Author keywords

Dynamical systems; Reversibility; Time reversal symmetry

Indexed keywords


EID: 0002569105     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00199-1     Document Type: Article
Times cited : (431)

References (26)
  • 2
    • 0000229982 scopus 로고
    • Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen
    • L. Boltzmann, Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen, Wien. Ber. 66 (1872) 275.
    • (1872) Wien. Ber. , vol.66 , pp. 275
    • Boltzmann, L.1
  • 3
    • 0003306618 scopus 로고
    • Introduction to Compact Transformation Groups
    • Academic Press, New York
    • G.E. Bredon, Introduction to Compact Transformation Groups, Pure and Applied Mathematics, vol. 46, Academic Press, New York, 1972.
    • (1972) Pure and Applied Mathematics , vol.46
    • Bredon, G.E.1
  • 4
    • 0042137401 scopus 로고    scopus 로고
    • Multi-symplectic structures and wave propagation
    • T.J. Bridges, Multi-symplectic structures and wave propagation, Math. Proc. Cambridge Philos. Soc. 121 (1997) 147-190.
    • (1997) Math. Proc. Cambridge Philos. Soc. , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 5
    • 0002761467 scopus 로고
    • Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case
    • D.A. Rand, L.S. Young (Eds.), Dynamical Systems and Turbulence, Warwick 1980 (Coventry, 1979/1980), Springer, Berlin
    • H.W. Broer, Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case, in: D.A. Rand, L.S. Young (Eds.), Dynamical Systems and Turbulence, Warwick 1980 (Coventry, 1979/1980), Lecture Notes in Mathematics, vol. 898, Springer, Berlin, 1981, pp. 54-74.
    • (1981) Lecture Notes in Mathematics , vol.898 , pp. 54-74
    • Broer, H.W.1
  • 7
    • 0000040998 scopus 로고
    • Introduction to bifurcation theory
    • J.D. Crawford, Introduction to bifurcation theory, Rev. Modern Phys. 63 (1991) 991-1037.
    • (1991) Rev. Modern Phys. , vol.63 , pp. 991-1037
    • Crawford, J.D.1
  • 8
    • 0001217093 scopus 로고
    • Symmetry decomposition of chaotic dynamics
    • P. Cvitanovic B. Eckhardt, Symmetry decomposition of chaotic dynamics, Nonlinearity 6 (1993) 277-311.
    • (1993) Nonlinearity , vol.6 , pp. 277-311
    • Cvitanovic, P.1    Eckhardt, B.2
  • 10
    • 0000340466 scopus 로고    scopus 로고
    • Symmetric attractors for diffeomorphisms and flows
    • M. Field, I. Melbourne, M. Nicol, Symmetric attractors for diffeomorphisms and flows, Proc. London Math. Soc. 72 (1996) 657-696.
    • (1996) Proc. London Math. Soc. , vol.72 , pp. 657-696
    • Field, M.1    Melbourne, I.2    Nicol, M.3
  • 13
    • 0003603846 scopus 로고
    • Quantum Signatures of Chaos
    • Springer, Berlin
    • F. Haake, Quantum Signatures of Chaos, Springer Series in Synergetics, vol. 54, Springer, Berlin, 1991.
    • (1991) Springer Series in Synergetics , vol.54
    • Haake, F.1
  • 15
    • 0001492031 scopus 로고
    • Effect of time-reversal symmetry on energy bands of crystals
    • C. Herring, Effect of time-reversal symmetry on energy bands of crystals, Phys. Rev. 52 (1937) 361.
    • (1937) Phys. Rev. , vol.52 , pp. 361
    • Herring, C.1
  • 16
    • 0000472870 scopus 로고
    • General theory of paramagnetic rotation in crystals
    • H.A. Kramers, General theory of paramagnetic rotation in crystals, Proc. Kon. Akad. Wetensch. 33 (1930) 959.
    • (1930) Proc. Kon. Akad. Wetensch. , vol.33 , pp. 959
    • Kramers, H.A.1
  • 20
    • 84987159575 scopus 로고
    • Why irreversibility? The formulation of classical and quantum mechanics for nonintegrable systems
    • I. Prigogine, Why irreversibility? The formulation of classical and quantum mechanics for nonintegrable systems, Int. J. Bifurc. Chaos 5 (1995).
    • (1995) Int. J. Bifurc. Chaos , vol.5
    • Prigogine, I.1
  • 23
    • 0001566941 scopus 로고
    • Invertible cellular automata: A review
    • T. Toffoli, N.H. Margolus, Invertible cellular automata: a review, Physica D 45 (1990) 229-253.
    • (1990) Physica D , vol.45 , pp. 229-253
    • Toffoli, T.1    Margolus, N.H.2
  • 24
    • 0002876557 scopus 로고
    • Centre manifolds, normal forms and elementary bifurcations
    • Dynam. Report. Ser. Dynam. Syst. Appl., Wiley, Chichester, vol. 2
    • A. Vanderbauwhede, Centre manifolds, normal forms and elementary bifurcations, in: Dynamics Reported, vol. 2, Dynam. Report. Ser. Dynam. Syst. Appl., Wiley, Chichester, vol. 2, 1989, pp. 89-169.
    • (1989) Dynamics Reported , vol.2 , pp. 89-169
    • Vanderbauwhede, A.1
  • 26
    • 0003921465 scopus 로고
    • Group Theory and Applications to the Quantum Mechanics of Atomic Spectra
    • Academic Press, New York
    • E.P. Wigner, Group Theory and Applications to the Quantum Mechanics of Atomic Spectra, Pure and Applied Physics, vol. 5, Academic Press, New York, 1959.
    • (1959) Pure and Applied Physics , vol.5
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.