References
131
reaction must cross the NHIM to accomplish dissociation of the molecule. There is
now extensive literature investigating these structures and their impact on chemical
reaction dynamics (see for example Waalkens and Wiggins 2004 and Waalkens et al.
2008 for a review).
Some of the analysis used to understand molecular dynamics has now been
extended to galaxies. Zotos and Jung (2019) have used NHIMs to try to understand
the structure of barred galaxies. They build their model of the galaxy from two
symmetrically placed NHIMs, and use these to construct a model of barred galaxies
that is consistent with what is observed in astronomical observations.
References
Barr AM, Na K, Reichl LE, Jung C (2009) Phys Rev E 79:026215
Contopoulis G, Vlahos L (1975) J Math Phys 16:1469
Dragt AJ, Finn JM (1976) J Geophys Res 81:2327
Eckhardt B (1987) J Phys A Math Gen 20:5971
Eckhardt B (1988) Physica D 33:89
Emmanouilidou A, Jung C (2006) Phys Rev E 73:016219
Emmanouilidou A, Jung C, Reichl LE (2003) Phys Rev E 68:046207
Farantos SC, Schinke R, Guo H, Joyeux M (2009) Chem Rev 109:4248
Fearnside AS, Portvliege RM, Shakeshaft R (1995) Phys Rev A 51:1471
Gaspard P, Rice SA (1989) J Chem Phys 90:2225
Henneberger WC (1992) Phys Rev Lett 21:838
Jost R, Joyeux M, Skokov S, Bowman J (1999) J Chem Phys 111:6807
Joyeux M, Grebenshchikov SY, Bredenbeck J, Schinke R, Farantos S (2005) Geometric structures
of phase space in multidimensional chaos: a special volume of advances in chemical physics,
Part A, vol 130. Wiley, Hoboken
Jung C, Emmanouilidou A (2005) Chaos 15:023101
Jung C, Richter PH (1990) J Phys A 23:2847
Jung C, Scholz HJ (1987) J Phys A 20:3607
Jung C, Scholz HJ (1988) J Phys A 21:2301
Jung C, Seligman TH (1997) Phys Rep 285:77
Jung C, Tel T, Ziemniak E (1993) Chaos 3:555
Jung C, Lipp C, Seligman TH (1999) Ann Phys 275:151
Kovacs Z, Wiesenfeld L (2001) Phys Rev E 63:056207
Kramers HA (1956) Collected scientific papers. North-Holland, Amsterdam
Lai Y-C, Tel T (2010) Transient chaos. Springer, New York
Lin Y-D, Barr AM, Na K, Reichl LE (2011) Phys Rev E 83:056217
Lin Y-D, Barr AM, Reichl LE, Jung C (2013) Phys Rev E 87:012917
Lin Y-D, Reichl LE, Jung C (2015) J Chem Phys 142:124304
Marinescu M, Gavrila M (1996) Phys Rev A 53:2513
Mauguiere F, Farantos SC, Suarez J, Schinke R (2011) J Chem Phys 134:244302
Okon E, Parker W, Chism W, Reichl LE (2002) Phys Rev A 66:53406
Petit JM, Henon M (1986) Icarus 66:536
Rückerl B, Jung C (1994) J Phys A 27:55
Schinke R (2011) J Chem Phys 134:064313
Schinke R, Suarez J, Farantos SC (2010) J Chem Phys 133:091103
Seoane JM, Sanjuan MAF (2013) Rep Prog Phys 76:016001
Skokov S, Peterson KA, Bowman JM (1999) Chem Phys Lett 312:494
131
reaction must cross the NHIM to accomplish dissociation of the molecule. There is
now extensive literature investigating these structures and their impact on chemical
reaction dynamics (see for example Waalkens and Wiggins 2004 and Waalkens et al.
2008 for a review).
Some of the analysis used to understand molecular dynamics has now been
extended to galaxies. Zotos and Jung (2019) have used NHIMs to try to understand
the structure of barred galaxies. They build their model of the galaxy from two
symmetrically placed NHIMs, and use these to construct a model of barred galaxies
that is consistent with what is observed in astronomical observations.
References
Barr AM, Na K, Reichl LE, Jung C (2009) Phys Rev E 79:026215
Contopoulis G, Vlahos L (1975) J Math Phys 16:1469
Dragt AJ, Finn JM (1976) J Geophys Res 81:2327
Eckhardt B (1987) J Phys A Math Gen 20:5971
Eckhardt B (1988) Physica D 33:89
Emmanouilidou A, Jung C (2006) Phys Rev E 73:016219
Emmanouilidou A, Jung C, Reichl LE (2003) Phys Rev E 68:046207
Farantos SC, Schinke R, Guo H, Joyeux M (2009) Chem Rev 109:4248
Fearnside AS, Portvliege RM, Shakeshaft R (1995) Phys Rev A 51:1471
Gaspard P, Rice SA (1989) J Chem Phys 90:2225
Henneberger WC (1992) Phys Rev Lett 21:838
Jost R, Joyeux M, Skokov S, Bowman J (1999) J Chem Phys 111:6807
Joyeux M, Grebenshchikov SY, Bredenbeck J, Schinke R, Farantos S (2005) Geometric structures
of phase space in multidimensional chaos: a special volume of advances in chemical physics,
Part A, vol 130. Wiley, Hoboken
Jung C, Emmanouilidou A (2005) Chaos 15:023101
Jung C, Richter PH (1990) J Phys A 23:2847
Jung C, Scholz HJ (1987) J Phys A 20:3607
Jung C, Scholz HJ (1988) J Phys A 21:2301
Jung C, Seligman TH (1997) Phys Rep 285:77
Jung C, Tel T, Ziemniak E (1993) Chaos 3:555
Jung C, Lipp C, Seligman TH (1999) Ann Phys 275:151
Kovacs Z, Wiesenfeld L (2001) Phys Rev E 63:056207
Kramers HA (1956) Collected scientific papers. North-Holland, Amsterdam
Lai Y-C, Tel T (2010) Transient chaos. Springer, New York
Lin Y-D, Barr AM, Na K, Reichl LE (2011) Phys Rev E 83:056217
Lin Y-D, Barr AM, Reichl LE, Jung C (2013) Phys Rev E 87:012917
Lin Y-D, Reichl LE, Jung C (2015) J Chem Phys 142:124304
Marinescu M, Gavrila M (1996) Phys Rev A 53:2513
Mauguiere F, Farantos SC, Suarez J, Schinke R (2011) J Chem Phys 134:244302
Okon E, Parker W, Chism W, Reichl LE (2002) Phys Rev A 66:53406
Petit JM, Henon M (1986) Icarus 66:536
Rückerl B, Jung C (1994) J Phys A 27:55
Schinke R (2011) J Chem Phys 134:064313
Schinke R, Suarez J, Farantos SC (2010) J Chem Phys 133:091103
Seoane JM, Sanjuan MAF (2013) Rep Prog Phys 76:016001
Skokov S, Peterson KA, Bowman JM (1999) Chem Phys Lett 312:494