n335bv@tamuts.tamu.edu (Rajashekher Kesaraju) (05/15/91)
I have a one dimensional return map, which has a single critical point. How to find different periodic orbits present (symbolic dynamics?), from the one dimensional map? Any help would be appreciated. Rajashekher V. Kesaraju n335bv@tamuts.tamu.edu rvk7888@sigma.tamu.edu
bstewart@bnlux1.bnl.gov (Bruce Stewart) (05/16/91)
In article <16202@helios.TAMU.EDU> n335bv@tamuts.tamu.edu (Rajashekher Kesaraju) writes: > > I have a one dimensional return map, which has a single critical point. >How to find different periodic orbits present (symbolic dynamics?), from >the one dimensional map? Any help would be appreciated. > >Rajashekher V. Kesaraju >n335bv@tamuts.tamu.edu >rvk7888@sigma.tamu.edu Have you looked at the book "Elementary Symbolic Dynamics and Chaos in Dissipative Systems" by Hao Bai-lin, World Scientific Publishing, 1989? Many people have found this a very helpful resource book.
scavo@cie.uoregon.edu (Tom Scavo) (05/16/91)
In article <1991May15.191343.19674@bnlux1.bnl.gov> bstewart@bnlux1.bnl.gov (Bruce Stewart) writes: >In article <16202@helios.TAMU.EDU> n335bv@tamuts.tamu.edu (Rajashekher Kesaraju) writes: >> >> I have a one dimensional return map, which has a single critical point. >>How to find different periodic orbits present (symbolic dynamics?), from >>the one dimensional map? Any help would be appreciated. > >Have you looked at the book "Elementary Symbolic Dynamics and >Chaos in Dissipative Systems" by Hao Bai-lin, World Scientific >Publishing, 1989? Many people have found this a very helpful >resource book. Have you transposed the author's name? Isn't it Bai-lin Hao? (The book has one of the most exhaustive bibliographies around, btw.) Tom Scavo scavo@cie.uoregon.edu
bstewart@bnlux1.bnl.gov (Bruce Stewart) (05/17/91)
In article <1991May16.045523.17489@ariel.unm.edu> scavo@cie.uoregon.edu (Tom Scavo) writes: >In article <1991May15.191343.19674@bnlux1.bnl.gov> bstewart@bnlux1.bnl.gov (Bruce Stewart) writes: >>In article <16202@helios.TAMU.EDU> n335bv@tamuts.tamu.edu (Rajashekher Kesaraju) writes: >>> > >Have you transposed the author's name? Isn't it Bai-lin Hao? To westerners who insist of placing the family name last, it would indeed be Bai-lin Hao. Orientals prefer family name first: Hao Bai-lin is how it appears on the title page. Anyone trying to locate the book should look under H for Hao.