Iterated complex maps defined by a root of a biquadratic equation g(z', z) = 0 are studied. Numerical studies suggest conjugacy functions with differentiable natural boundaries and maps having island chains occupying much of the Riemann sphere. An analogy with Hamiltonian systems is discussed.
|Number of pages||11|
|Journal||Physica D: Nonlinear Phenomena|
|Publication status||Published - Mar 1986|