Isolating segments, fixed point index, and symbolic dynamics. III: Applications
The authors continue to study chaotic properties of the nonautonomous equation \[ z'=\bar{z}^n(1+e^{i\kappa t}|z|^2). \] The method of isolating segments is applied to establish the existence of an invariant set on which the Poincaré map has symbolic dynamics on \(n+2\) symbols. For Parts I and II see ibid. 161, 245-288 (2000; Zbl 0953.34034) and ibid. 172, 189-211 (2001; Zbl 0996.37020).
scientific article; zbMATH DE number 1801923