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. Author manuscript; available in PMC: 2015 Oct 16.
Published in final edited form as: Am Homeopath. 2008;14:56–74.

Figure 1.

Figure 1

The logistic map is a simple quadratic function with the special property of describing the change in a system from a fixed point attractor [corresponding to a rigid, stuck, unhealthy dynamical process], to a periodic attractor, to chaos as a bifurcation variable increases in value. It originated in studies of population dynamics. [Excessively frequent remedy repetition may cause incurability by pushing the system dynamics to bifurcate excessively and end in chaos]. (Sources: Image from Kaplan D and Glass L. Understanding Nonlinear Dynamics, Springer-Verlag, 1995, p. 31; explanation from www.societyforchaostheory.org/tutorials/#1, accessed 4/27/08)