Journal of Physics A Mathematical and General · 1994 · 10 citations · 17 references
Natural SciencesMathematicsDynamical SystemsChaos TheoryFixed PointsPeriodic OrbitsReversible ProcessesReversible Dynamical SystemsScaling ExponentsStable Periodic Orbits
Feigenbaum's parameter scaling exponents S are calculated for l.3m,l.5m,l.7m,l.9m sequences of periodic orbits in a class of three-dimensional non-measure-preserving reversible mappings. Some preliminary results on orbit scaling exponents for l.3m sequences are also included. Scaling exponents found so far are the same as those found for two-dimensional reversible mappings.
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Universal behaviour in families of area-preserving maps
J. M. Greene, Robert S. MacKay, Franco Vivaldi et al. · Physica D Nonlinear Phenomena · 1981 · 217 citations
Two-Dimensional Measure-Preserving Mappings
J. M. Greene · Journal of Mathematical Physics · 1968 · 166 citations