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 |
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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 |