2017
DOI: 10.1016/j.chaos.2017.05.030
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On the complexity of economic dynamics: An approach through topological entropy

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Cited by 12 publications
(3 citation statements)
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“…When the entropy value is zero, it means the system is stable; when the entropy value is greater than zero, it means the complexity of the system begins to increase. e larger the entropy value is, the more complex the system is [44]. From Figure 8(b), we can see that the system begins to become complex when k 1 � 0.6583, and then the system complexity shows a straight-line rising trend; when k 1 � 0.72, there is a turning point, and then the increase of the system complexity tends to moderate.…”
Section: In Case Both Enterprises Adopt a Delay Strategymentioning
confidence: 95%
“…When the entropy value is zero, it means the system is stable; when the entropy value is greater than zero, it means the complexity of the system begins to increase. e larger the entropy value is, the more complex the system is [44]. From Figure 8(b), we can see that the system begins to become complex when k 1 � 0.6583, and then the system complexity shows a straight-line rising trend; when k 1 � 0.72, there is a turning point, and then the increase of the system complexity tends to moderate.…”
Section: In Case Both Enterprises Adopt a Delay Strategymentioning
confidence: 95%
“…The singular (descriptor) fractional-order system of differential equations plays an important role in many applications, such as electric networks, economics, optimization problems, analysis of control systems, constrained mechanics, aircraft and robot dynamics, biology and large-scale systems [ 9 , 10 ]. Many continuous or discrete-time systems are usually described by complete dynamical states that vary with time, which have wide applications in social sciences, chaotic systems, economics, electrical networks, information theory and medical sciences [ 11 , 12 , 13 , 14 , 15 , 16 ]. Since the singular systems enjoy static and dynamic states, the complexity of their entropy depends on the methods of decomposing these states from each other to completely identify the analytical solution of such systems.…”
Section: Introductionmentioning
confidence: 99%
“…In many papers dealing with dynamical systems, their strong relation to difference equations is pointed out (see [ 1 ]), which gives the possibilities of their wide applications in many fields of knowledge, including economics, biology, information flow or physics [ 2 , 3 , 4 , 5 , 6 , 7 ]. Among the problems connected with “dynamical systems with discrete time observations”, a special role is played by the entropy of these systems, which may be treated as a “measure” of the complexity of a dynamical system.…”
Section: Introductionmentioning
confidence: 99%