### Table 3. Approximate Lyapunov exponents.

"... In PAGE 10: ...30 0.328506 In Table3 we show the approximate Lyapunov exponents at the nal time T = 104, obtained integrating the ODEs in (15) and (20) with time step h = 0:001. Exponential notation is used throughout.... ..."

### Table 1: Lyapunov exponent estimates

in On the estimation of invariant measures and Lyapunov exponents arising from iid compositions of maps

"... In PAGE 16: ...0; 1; 2, where Dm(k) is an approximation of the action of Ak on RP1. Using (28) we produce estimates m of (0) = log(2)=3, shown in Table1 . These estimates are compared with plots of the partial sums SN on an iteration for iteration basis (N = 3m) in Figure 3.... In PAGE 16: ... These estimates are compared with plots of the partial sums SN on an iteration for iteration basis (N = 3m) in Figure 3. From log-log ts of columns 3 and 4 of Table1 , the error in our estimates appears to be O(m2), while we expect the errors from the random iteration method to be O(m1=2). This rst example is not really a fair comparison, as the invariant measure is easily approximated by the eigenvectors dm because of its simple structure.... ..."

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### Table 2: Color coding for Lyapunov exponents

2006

"... In PAGE 10: ... We x arbitrarily 3 = 0:9411 and compute the Lyapunov exponents to nd bifurcations of attractors as is done in [26]. The Lyapunov exponents are color-coded according to Table2 . We note that Lyapunov exponents are not a reliable tool when we are investigating a 2-torus.... ..."

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### Table 1 Lyapunov exponent for position and angles of head.

"... In PAGE 3: ... Lyapunov Exponent The Lyapunov exponent has been calculated for all 6 variables. Table1 shows the calculated values for every variable. We notice that while the position has negative and small exponents, the angles have larger positive one.... ..."

### Table II, which lists the largest Lyapunov exponent

### Table 1: Relation of Maximal Lyapunov Exponent and System Behaviour

"... In PAGE 21: ... Note that for a random noise, the maximal Lyapunov exponent is infinite. The summary of the system behaviour and its relation with Lyapunov exponent is shown in Table1 [8]. It should be mentioned that the Lyapunov exponent is an invariant of the system.... ..."

### Table 1: Relation of Maximal Lyapunov Exponent and System Behaviour

"... In PAGE 19: ... Note that for a random noise, the maximal Lyapunov exponent is infinite. A summary of system behaviour and its relation with the Lyapunov exponent is summarized in Table1 [8].... ..."

### Table 2: Lyapunov exponent estimates for the Stiletto map using the method of [2]

1998

Cited by 6

### Table 2: Lyapunov exponent estimates for the Stiletto map using the method of [2]

1998

Cited by 6