Sentence examples for exhibit chaos from inspiring English sources

In particular, system (1′) cannot exhibit chaos when its associated map is bounded.

Instead researchers study the quantization of classical chaotic systems and these studies are known as quantum chaology: "the study of semiclassical, but nonclassical, phenomena characteristic of systems whose classical counterparts exhibit chaos" (Berry 1989, p. 335).

However, since real organisms come in discrete (integer) numbers, no real population can exhibit chaos in the strict sense, although this does not rule out the possibility of complex dynamics [20].

At certain Input values the behavior of the logistics system exhibits chaos.

If a system exhibits chaos, decision-making should consider the system characterization parameters from a chaos theory perspective.

Fractional system (5) exhibits chaos for the incommensurate orders (q_{1}=0.98), and (q_{2}=q_{3}=0.99) as shown in Figure 2.

Lorenz's pioneering work demonstrated that such sensitive dependence was not a matter of mathematical misdescription; rather, there was something interesting in the mathematical model exhibiting chaos.

Using some known facts from nonlinear analysis, we have derived the necessary conditions for fractional orders in the Rossler system for exhibiting chaos.

Interestingly, for (a = 14.1), (b = 15), and (e = 90), system (1) with two stable equilibria exhibits chaos as shown in Figure 1.

In Section 3.1, numerical solutions of the model equations show that the thermal and shot noises existing in the SL enhance stable spontaneous chaos in voltage intervals where the corresponding deterministic model exhibits chaos.

This paper presents a symbolic method for a delayed state feedback controller (DSFC) design for linear time-periodic delay (LTPD) systems that are open loop unstable and its extension to incorporate regulation and tracking of nonlinear time-periodic delay (NTPD) systems exhibiting chaos.