Quasi-periodic behaviour in a model for the lithium-induced, electrical oscillations of frog skin

Ussing, 1960, Active and passive transport of the alkali metal ions Voute, 1968, Some morphological aspects of active sodium transport: the epithelium of the frog skin, J. Cell. Biol., 36, 625, 10.1083/jcb.36.3.625 Aceves, 1971, Sodium transport across the isolated epithelium of the frog skin, J. Physiol., 212, 195, 10.1113/jphysiol.1971.sp009317 Nagel, 1977, Influence of lithium upon the intracellular potential of frog skin epithelium, J. Membr. Biol., 37, 347, 10.1007/BF01940939 Takenaka, 1936, Studies on the quasiperiodic oscillations of the electrical potential of the frog skin, Jpn. J. Med. Sci., III, 143 Teorell, 1954, Rhythmical potential impedance variations in isolated frog skin induced by lithium ions, Acta Physiol. Scand., 31, 268, 10.1111/j.1748-1716.1954.tb01138.x Thellier, 1976, Oscillations de potentiel et de courant électriques transépithéliaux sous l'effet de lithium, C. R. Acad. Sci. Paris, Ser. D, 282, 2111 Lassales, 1979, Oscillations de potentiel électrique membranaire sous l'effet du lithium, 461 Lassalles, 1980, Oscillations of the electrical potential of frog skin under the effect of Li+: experimental approach, J. Membr. Biol., 56, 107, 10.1007/BF01875962 Lassalles, 1981, Oscillations of the electrical potential of frog skin under the effect of Li+: theoretical formulation, Biophys. Chem., 14, 65, 10.1016/0301-4622(81)87007-X Thellier, Biological processes in organised media, C. R. Biologies Pikovsky, 2001 Bergé, 1984 Packard, 1980, Geometry from a time series, Phys. Rev. Lett., 45, 712, 10.1103/PhysRevLett.45.712 Abarbanel, 1993, The analysis of observed chaotic data in physical systems, Rev. Mod. Phys., 65, 1331, 10.1103/RevModPhys.65.1331 Cao, 1997, Practical method for determing the minimum embedding dimension of a scalar time series, Physica D, 110, 43, 10.1016/S0167-2789(97)00118-8 Letellier, 1998, On the non-equivalence of observables in phase space reconstructions from recorded time series, J. Phys. A, 31, 7913, 10.1088/0305-4470/31/39/008 Letellier, 2002, Investigating nonlinear dynamics from time series: the influence of symmetries and the choice of observables, Chaos, 12, 549, 10.1063/1.1487570 Takens, 1980, Detecting strange attractors in turbulence, 898, 366 Buzug, 1992, Optimal delay time and embedding dimension for delay-time coordinates by analysis of the global static and local dynamical behavior of strange attractors, Phys. Rev. A, 45, 7073, 10.1103/PhysRevA.45.7073 Pomeau, 1980, Intermittent transition to turbulence in dissipative dynamical systems, Commun. Math. Phys., 74, 189, 10.1007/BF01197757