Abstract
The transition from quasiperiodicity to chaos is studied in a two-dimensional dissipative map with the inverse-golden-mean rotation number. On the basis of a decimation scheme, it is argued that the (minimal) slope of the critical iterated circle map is proportional to the effective Jacobian determinant. Approaching the zero-Jacobian-determinant limit, the factor of proportion becomes a universal constant. Numerical investigation on the dissipative standard map suggests that this universal number could become observable in experiments.
| Original language | English |
|---|---|
| Pages (from-to) | 2180-2183 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 69 |
| Issue number | 15 |
| DOIs | |
| Publication status | Published - 1 Jan 1992 |
| MoE publication type | Not Eligible |
Fingerprint
Cite this
}
Universal criterion for the breakup of invariant tori in dissipative systems. / Ketoja, Jukka A.
In: Physical Review Letters, Vol. 69, No. 15, 01.01.1992, p. 2180-2183.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - Universal criterion for the breakup of invariant tori in dissipative systems
AU - Ketoja, Jukka A.
PY - 1992/1/1
Y1 - 1992/1/1
N2 - The transition from quasiperiodicity to chaos is studied in a two-dimensional dissipative map with the inverse-golden-mean rotation number. On the basis of a decimation scheme, it is argued that the (minimal) slope of the critical iterated circle map is proportional to the effective Jacobian determinant. Approaching the zero-Jacobian-determinant limit, the factor of proportion becomes a universal constant. Numerical investigation on the dissipative standard map suggests that this universal number could become observable in experiments.
AB - The transition from quasiperiodicity to chaos is studied in a two-dimensional dissipative map with the inverse-golden-mean rotation number. On the basis of a decimation scheme, it is argued that the (minimal) slope of the critical iterated circle map is proportional to the effective Jacobian determinant. Approaching the zero-Jacobian-determinant limit, the factor of proportion becomes a universal constant. Numerical investigation on the dissipative standard map suggests that this universal number could become observable in experiments.
UR - http://www.scopus.com/inward/record.url?scp=0001437760&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.69.2180
DO - 10.1103/PhysRevLett.69.2180
M3 - Article
AN - SCOPUS:0001437760
VL - 69
SP - 2180
EP - 2183
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 15
ER -