Universal criterion for the breakup of invariant tori in dissipative systems.

@article{Ketoja1992UniversalCF,
  title={Universal criterion for the breakup of invariant tori in dissipative systems.},
  author={Ketoja},
  journal={Physical review letters},
  year={1992},
  volume={69 15},
  pages={
          2180-2183
        }
}
  • Ketoja
  • Published 1 October 1992
  • Physics, Medicine
  • Physical review letters
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… 

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