Universal criterion for the breakup of invariant tori in dissipative systems

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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 languageEnglish
Pages (from-to)2180-2183
Number of pages4
JournalPhysical Review Letters
Volume69
Issue number15
DOIs
Publication statusPublished - 1 Jan 1992
MoE publication typeNot Eligible

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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 journalArticleScientificpeer-review

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