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References in periodicals archive ?
Secondly, the conventional dynamic analyses are carried out by Lyapunov exponents, bifurcation diagrams, Poincaree maps, phase diagrams, and so forth.
Williams, "Phase space topography and the Lyapunov exponent of electrocorticograms in partial seizures," Brain Topography, vol.
Caption: Figure 2: Backward continuation of system (3) when decreasing [a.sub.2] from 3 to 2.4 (a) and the corresponding graph of largest Lyapunov exponent ([[lambda].sub.max]) plotted in the range 2.4 [less than or equal to] [a.sub.2] [less than or equal to] 3 (b).
Here, = [[beta].sub.1] = [[beta].sub.2] = 0.2 and the route to chaos through period-doubling bifurcations for [[beta].sub.3] = [2 5] is presented by attractors Poincare map (Figure 3(a)) and largest Lyapunov exponent ([[lambda].sub.max], Figure 3(b)) bifurcation diagrams.
Lyapunov exponent method is used to analyze the stability affected by different manipulator movements and then the Newton-Euler recursive method is used to quantify the coupling between the manipulator and the quadrotor, after which coupling compensation is considered in the controller design.
The largest Lyapunov exponent shown in Figure 3(b) confirms the chaotic behavior found in Figure 3(a).
AlSaba, "Robust and sensitive method of lyapunov exponent for heart rate variability," pp.
the tent map has positive Lyapunov exponent and hence is sensitive to initial conditions [4].
Analysis of Chaotic Phenomena: Lyapunov Exponent and Lyapunov Dimension
In this paper, the maximum Lyapunov exponent is used to judge whether the evolution of network traffic flow is chaotic.
For above circuit parameters and [rho] = 3, the Lyapunov exponents spectra and bifurcation diagram of the fractional-order 4D hyperchaotic memristive circuit by changing q simultaneously are shown in Figure 9, where the last Lyapunov exponent is not displayed because it is always a big negative number.