Crossover from dissipative to conservative behaviour in period-doubling systems

J.P. Van Der Weele, H.W. Capel, T. Post and Ch.J. Calkoen

Physica A: Statistical Mechanics and its Applications, 1986, vol. 137, issue 1, 1-43

Abstract: We investigate the crossover properties, between the conservative and dissipative limit, for period-doubling bifurcations in two-dimentional iterative maps; as a generic example we use the standard form of the Hénon map. The approximants to the Feigenbaum constant δ lie on a universal crossover curve, which turns out to be non-monotonic. A similar curve is found for the scaling factor α. More generally, we discuss the crossover of the trajectory scaling function 1/ σ, and its properties in the conservative limit.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:137:y:1986:i:1:p:1-43

DOI: 10.1016/0378-4371(86)90062-2

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