scholarly journals On the error-sum function of tent map base series

2011 ◽  
Vol 378 (2) ◽  
pp. 571-577
Author(s):  
Meifeng Dai ◽  
Lixin Tang
Keyword(s):  
Tent Map ◽  
1996 ◽  
Vol 16 (6) ◽  
pp. 1173-1183 ◽  
Author(s):  
Karen Brucks ◽  
Michal Misiurewicz

AbstractWe prove that for almost every (with respect to the Lebesgue measure) a ∈ [√2, 2], the forward trajectory of the turning point of the tent map fa with slope a is dense in the interval of transitivity of fa.


2016 ◽  
Vol 10 (3) ◽  
pp. 369-382
Author(s):  
Liu Jiandong ◽  
Zhang Xiao ◽  
Wang Yequan ◽  
Shang Kai

2012 ◽  
Vol 82 (5) ◽  
pp. 1021-1027 ◽  
Author(s):  
Jongsig Bae ◽  
Changha Hwang ◽  
Doobae Jun

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Lidong Liu ◽  
Jinfeng Hu ◽  
Huiyong Li ◽  
Jun Li ◽  
Zishu He ◽  
...  

It is of vital importance to exactly estimate the unknown parameters of chaotic systems in chaos control and synchronization. In this paper, we present a method for estimating one-dimensional discrete chaotic system based on mean value method (MVM). It is proposed by exploiting the ergodic and synchronization features of chaos. It can effectively estimate the parameter value, and it is more exact than MVM. Finally, numerical simulations on Chebyshev map and Tent map show that the proposed method has better performance of parameter estimation than MVM.


Processes ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 426 ◽  
Author(s):  
Shengran Chen ◽  
Shengyan Wang

The integrated energy system is a vital part of distributed energy industries. In addition to this, the optimal economic dispatch model, which takes into account the complementary coordination of multienergy, is an important research topic. Considering the constraints of power balance, energy supply equipment, and energy storage equipment, a basic model of optimal economic dispatch of an integrated energy system is established. On this basis, a multiobjective function solving algorithm of NSGA-II, based on tent map chaos optimization, is proposed. The proposed model and algorithm are applied. The simulation results show that the optimal economic scheduling model of the integrated energy system established in this paper can provide a more economic system operation scheme and reduce the operation cost and risks associated with an integrated energy system. The Non-dominated Sorting Genetic Algorithm-II (NSGA-II) multiobjective function solving algorithm, based on tent map chaos optimization, has better performance and efficiency.


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