排序方式: 共有18条查询结果,搜索用时 15 毫秒
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Qiang Lai Xiao-Wen Zhao Jian-Ning Huang Viet-Thanh Pham Karthikeyan Rajagopal 《The European physical journal. Special topics》2018,227(7-9):719-730
This letter gives a general review on the monostability, bistability, periodicity and chaos in gene regulatory network. Some simple motifs that generate monostability, bistability, periodicity and chaos are analytically and numerically reported. Further research directions of the nonlinear dynamics of gene regulatory network are discussed. 相似文献
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Karthikeyan Rajagopal Viet-Thanh Pham Fawaz E. Alsaadi Fuad E. Alsaadi Anitha Karthikeyan Prakash Duraisamy 《The European physical journal. Special topics》2018,227(7-9):837-850
The present study investigates the dynamical properties of a fractional order coronary artery system and its control with uncertainties in the parameters. The fractional order model of the coronary artery system (FOCA) is derived using the Grünwald–Letnikov method and the properties of the FOCA system are discussed. Bifurcation plots of the system in the parameter space are derived and presented. The novelty of the paper is the identification of the multistable feature shown by the FOCA system, which has not been discussed in the research literature. Various coexisting attractors are also presented to show the multistability. An adaptive sliding mode controller is designed to stabilize the chaotic oscillations in the FOCA system. Numerical simulations are conducted to indicate the effectiveness of the controller. 相似文献
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Hamid Reza Abdolmohammadi Abdul Jalil M Khalaf Shirin Panahi Karthikeyan Rajagopal Viet-Thanh Pham Sajad Jafari 《Pramana》2018,90(6):70
Nowadays, designing chaotic systems with hidden attractor is one of the most interesting topics in nonlinear dynamics and chaos. In this paper, a new 4D chaotic system is proposed. This new chaotic system has no equilibria, and so it belongs to the category of systems with hidden attractors. Dynamical features of this system are investigated with the help of its state-space portraits, bifurcation diagram, Lyapunov exponents diagram, and basin of attraction. Also a hardware realisation of this system is proposed by using field programmable gate arrays (FPGA). In addition, an electronic circuit design for the chaotic system is introduced. 相似文献
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Nonlinear Dynamics - Novel chaotic system designs and their engineering applications have received considerable critical attention. In this paper, a new three-dimensional chaotic system and its... 相似文献
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Abd Mariam Hussein Tahir Fadhil Rahma Al-Suhail Ghaida A. Pham Viet-Thanh 《Nonlinear dynamics》2017,90(4):2583-2598
Nonlinear Dynamics - Recently, the time delay has considerable attention in the existence of chaos in the nonlinear dynamical systems. In this paper, we therefore develop a new cascade-coupled... 相似文献
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Karthikeyan Rajagopal Jesus M. Munoz-Pacheco Viet-Thanh Pham Duy Vo Hoang Fawaz E. Alsaadi Fuad E. Alsaadi 《The European physical journal. Special topics》2018,227(7-9):811-820
Neural network is important for a wide range of applications. Especially, a small neural network can display various complex behaviors. In this work, the investigations of a Hopfield neural network and its field programmable gate array (FPGA) implementation have been reported. The considered Hopfield neural network is simple because it includes only three neurons. It is interesting that we observed chaos and numerous coexisting attractors in such a network. In addition, the network has been implemented via an FPGA platform to verify its feasibility. 相似文献
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Hidden attractors in a new fractional–order discrete system: Chaos,complexity, entropy, and control
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This paper studies the dynamics of a new fractional-order discrete system based on the Caputo-like difference operator.This is the first study to explore a three-dimensional fractional-order discrete chaotic system without equilibrium. Through phase portrait, bifurcation diagrams, and largest Lyapunov exponents, it is shown that the proposed fractional-order discrete system exhibits a range of different dynamical behaviors. Also, different tests are used to confirm the existence of chaos,such as 0–1 test and C0 complexity. In addition, the quantification of the level of chaos in the new fractional-order discrete system is measured by the approximate entropy technique. Furthermore, based on the fractional linearization method, a one-dimensional controller to stabilize the new system is proposed. Numerical results are presented to validate the findings of the paper. 相似文献