Chaos and Fractals in C–k Map

Wang, Xingyuan; Liang, Qingyong; Meng, Juan

doi:10.1142/s0129183108012935

Cited by 14 publications

(9 citation statements)

References 10 publications

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“…It has been shown that the sparsity of connections between different communities hinders the global synchronization of complex networks [4][5][6]. Factors that affect the synchronization of community networks have been intensively studied and strategies that can achieve global synchronization have been proposed [7][8][9][10]. Synchronization transition process of community networks have also been studied [11,12].…”

Section: Introductionmentioning

confidence: 99%

Competition between intra-community and inter-community synchronization and relevance in brain cortical networks

et al. 2011

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In this paper the effects of inter-community links on the synchronization performance of community networks, especially on the competition between individual community and the whole network, are studied in detail. The study is organized from two aspects: the number or portion of inter-community links and the connection strategy of inter-community links between different communities. A critical point is found in the competition of global network and individual communities. Increasing the number of inter-community links will enhance the global synchronizability but degrade the synchronization performance of individual community before this point. After that the individual community will synchronize better and better as part of the whole network because the community structure is not so prominent. The critical point represents a balance region where the individual community is maximally independent while the information transmission remains effective between different communities. Among various connection strategies, connecting nodes belonging to different communities randomly rather than connecting nodes with larger degrees are the most efficient way to enhance global synchronization of the network. However, the dynamical modularity is the reverse case. A preferential connection scheme linking most of the hubs from the communities will allow rather efficient global synchronization while maintaining strong dynamical clustering of the communities. Interestingly, the observations are found to be relevant in a realistic network of cat cortex. The synchronization state is just at the critical point, which shows a reasonable combination of segregated function in individual communities and coordination among them. Our work sheds light on principles underlying the emergence of modular architectures in real network systems and provides guidance for the manipulation of synchronization in community networks.

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Section: Introductionmentioning

confidence: 99%

Competition between intra-community and inter-community synchronization and relevance in brain cortical networks

et al. 2011

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“…[62,63] Another way to generate THz radiation is to use semiconductor superlattice. [64] Malik et al have introduced a mechanism of efficient and highly focused THz radiation generation by photo-mixing top-hat-like lasers in a rippled density plasma in the presence of a transverse static magnetic field. [65] Singh et al have reported THz generation by mixing two cosh-Gaussian laser beams in a density rippled plasma.…”

Section: Introductionmentioning

confidence: 99%

Generation of terahertz radiation via cosh‐Gaussian and top‐hat laser beams in a collisional magnetized plasma

Hematizadeh

Jazayeri

Ghafary

2018

Contributions to Plasma Physics

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This paper presents a scheme to generate terahertz (THz) radiation by the beating of lasers in a rippled density collisional magnetized plasma. The laser beams exert a ponderomotive force on the electrons of plasma and impart them with oscillatory velocity at the different frequencies of lasers. The direction of the uniform static magnetic field makes an angle with respect to the propagation direction of laser beams; in this case, two-mode waves can propagate in plasma. We derive the general formulas for efficiency and THz field amplitude with arbitrary laser beam profiles. The efficiency of the emitted radiations is found to be sensitive to laser profiles, the angle between laser beams and static magnetic field, collision frequency, and magnetic field strength. A comparison between the generated THz radiation by top-hat and cosh-Gaussian laser beams reveals, at the same conditions, that the generated THz radiation by top-hat laser beams produces a stronger ponderomotive force and a higher efficiency. KEYWORDScosh-Gaussian beam, terahertz generation, top-hat beam, uniform magnetic field 1

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“…[13]. Wang Xingyuan et al [14,15] dealed with the existence of both Hopf bifurcation and topological horseshoe for a novel finance chaotic system. Kobayashi T. et al [16] studied the effect of slot combination on acoustic noise from induction motors.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation and chaos for electromechanical coupling torsional vibration in rolling mill system driven by DC motor

Liu¹,

Liu²,

Liu³

et al. 2016

J. vibroeng.

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Bifurcation and chaos for electromechanical coupling torsional vibration in rolling mill system driven by DC motor is studied in this paper. Considering the electromechanical devices under unsaturated magnetic circuit, the dynamical equation of electromechanical coupling vibration in rolling mill drive system is deduced by using the dissipation Lagrange equation. The equivalent low-dimensional bifurcation equation, which can reveal the influence of system parameters on the nonlinear dynamic characteristics, is obtained by reducing the dimensionality system using the method of Lyapunov-Schmidt reduction, and the static bifurcation characteristic is analyzed by using the singularity theory. The torsional rigidity of rotating shaft and harmonic excitation are chosen as the bifurcation parameters. Finally, the simulation is carried out with actual parameters, the bifurcation diagram, Poincare map and the maximum Lyapunov exponent are also given, which show the influence of bifurcation parameters on the chaotic motions of the system.

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Chaos and Fractals in C–k Map

Cited by 14 publications

References 10 publications

Competition between intra-community and inter-community synchronization and relevance in brain cortical networks

Competition between intra-community and inter-community synchronization and relevance in brain cortical networks

Generation of terahertz radiation via cosh‐Gaussian and top‐hat laser beams in a collisional magnetized plasma

Bifurcation and chaos for electromechanical coupling torsional vibration in rolling mill system driven by DC motor

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