To better understand how the transition to chaos
happens, one may consider a so-called bifurcation diagram.
Reichl, The Transition to Chaos
in Conservative Classical Systems: Quantum Manifestations, Springer Verlag, New York, NY, USA, 1992.
Szabelski, "Transition to chaos
in the self-excited system with a cubic double well potential and parametric forcing," Chaos, Solitons & amp; Fractals, vol.
For a better clarity, the transition to chaos
through the numerical simulation is shown for three values of [f.sub.p] = 0.3, [f.sub.p] = 0.38, and [f.sub.p] = 0.45 (see Figures 4 and 5).
Now researchers have turned up theoretical and experimental evidence suggesting that this phase transition from an ordered to a disordered state may be an example of a transition to chaos
. In other words, the complicated motion of the ions in the disordered state, rather than being truly random and unpredictable, is deterministic.