Nonlinear response of the driven Duffing oscillator to periodic or quasi-periodic signals has been well studied. In this paper, we investigate the nonlinear response of the driven Duffing oscillator to non-periodic, m...Nonlinear response of the driven Duffing oscillator to periodic or quasi-periodic signals has been well studied. In this paper, we investigate the nonlinear response of the driven Duffing oscillator to non-periodic, more specifically, chaotic time series. Through numerical simulations, we find that the driven Duffing oscillator can also show regular nonlinear response to the chaotic time series with different degree of chaos as generated by the same chaotic series generating model, and there exists a relationship between the state of the driven Duffing oscillator and the chaoticity of the input signal of the driven Duffing oscillator. One real-world and two artificial chaotic time series are used to verify the new feature of Duffing oscillator. A potential application of the new feature of Duffing oscillator is also indicated.展开更多
We investigate phase-plane analysis of general relativistic orbits in a gravitational field of the Reissner–Nordstr?m-type regular black hole spacetime.We employ phase-plane analysis to obtain different phase-plane d...We investigate phase-plane analysis of general relativistic orbits in a gravitational field of the Reissner–Nordstr?m-type regular black hole spacetime.We employ phase-plane analysis to obtain different phase-plane diagrams of the test particle orbits by varying charge q and dimensionless parameterβ,whereβcontains angular momentum of the test particle.We compute numerical values of radii for the innermost stable orbits and corresponding values of energy required to place the test particle in orbits.Later on,we employ similar analysis on an Ayón–Beato–García(ABG)regular black hole and a comparison regarding key results is also included.展开更多
We study the effect of a parallel metal oxide surge arrester on the ferroresonance oscillations of transformers. It is expected that the arresters generally cause ferroresonance drop out. Simulation has been done on a...We study the effect of a parallel metal oxide surge arrester on the ferroresonance oscillations of transformers. It is expected that the arresters generally cause ferroresonance drop out. Simulation has been done on a three phase power transformer with one open phase. Effect of varying input voltage is studied. The simulation results reveal that connecting the arrester to transformers poles, exhibits a great mitigating effect on ferroresonant over voltages. Phase plane along with bifurcation diagrams are also presented. Significant effect on the onset of chaos, the range of parameter values that may lead to chaos and magnitude of ferroresonant voltages is obtained, shown and tabulated.展开更多
This paper investigates the Effect of Metal Oxide Arrester (MOV) on the Chaotic Behaviour of power transformers considering nonlinear model for core loss of transformer. The paper contains two parts. In part (1): effe...This paper investigates the Effect of Metal Oxide Arrester (MOV) on the Chaotic Behaviour of power transformers considering nonlinear model for core loss of transformer. The paper contains two parts. In part (1): effect of nonlinear core on the onset of chaotic ferroresonance in a power transformer is evaluated. The core loss is modeled by a third order power series in voltage. in part (2): Effect of Metal Oxide Arrester(MOV) on results in part (1) will be studied. The results reveal that the presence of the arrester has a mitigating effect on ferroresonant chaotic overvoltages. resulted bifurcation diagrams and phase plane diagrams have also been delivered.展开更多
The microemuision behavior in the quaternary system alkyl polyglucoside(C_8G_(1.46), C_(10)G_(1.54))/1-butanol/cyclohexane/water has been studied at 40℃ with the alcoholconcentration scanning and the fishlike phase d...The microemuision behavior in the quaternary system alkyl polyglucoside(C_8G_(1.46), C_(10)G_(1.54))/1-butanol/cyclohexane/water has been studied at 40℃ with the alcoholconcentration scanning and the fishlike phase diagram methods. Increasing δ at a constant γ causesa phase inversion from an oil-in-water microemuision in contact with excess oil (Winsor Ⅰ or 2 )to a water-in-oil microemuision in contact with excess water (Winsor Ⅱ or 2) via a middle-phasemicroemuision in contact with excess oil and water (Winsor Ⅲ or 3). By using the simple massbalance equation and the HLB plane equation, the mass fraction of 1-butanol in the interfaciallayer, S_2~s, the monomeric solubilities of APG and 1-butanol, S_1 and S_2, in the oil phase, andthe mass fractions of APG and 1-butanol in the interfacial layer (C_1 and C_2) have been calculated,respectively. The effects of different alcohols, aqueous media arid oils on the phase behavior andthe composition of the interfacial layer are also investigated. It is found that the alcohols withlonger hydrocarbon chain, oil molecules with smaller molecular volume and the addition of inorganicsalt can increase the solubilization of the microemulsions .展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos 40574051 and 40774054)
文摘Nonlinear response of the driven Duffing oscillator to periodic or quasi-periodic signals has been well studied. In this paper, we investigate the nonlinear response of the driven Duffing oscillator to non-periodic, more specifically, chaotic time series. Through numerical simulations, we find that the driven Duffing oscillator can also show regular nonlinear response to the chaotic time series with different degree of chaos as generated by the same chaotic series generating model, and there exists a relationship between the state of the driven Duffing oscillator and the chaoticity of the input signal of the driven Duffing oscillator. One real-world and two artificial chaotic time series are used to verify the new feature of Duffing oscillator. A potential application of the new feature of Duffing oscillator is also indicated.
基金the University of KwaZulu-Natalthe National Research Foundation for financial support.
文摘We investigate phase-plane analysis of general relativistic orbits in a gravitational field of the Reissner–Nordstr?m-type regular black hole spacetime.We employ phase-plane analysis to obtain different phase-plane diagrams of the test particle orbits by varying charge q and dimensionless parameterβ,whereβcontains angular momentum of the test particle.We compute numerical values of radii for the innermost stable orbits and corresponding values of energy required to place the test particle in orbits.Later on,we employ similar analysis on an Ayón–Beato–García(ABG)regular black hole and a comparison regarding key results is also included.
文摘We study the effect of a parallel metal oxide surge arrester on the ferroresonance oscillations of transformers. It is expected that the arresters generally cause ferroresonance drop out. Simulation has been done on a three phase power transformer with one open phase. Effect of varying input voltage is studied. The simulation results reveal that connecting the arrester to transformers poles, exhibits a great mitigating effect on ferroresonant over voltages. Phase plane along with bifurcation diagrams are also presented. Significant effect on the onset of chaos, the range of parameter values that may lead to chaos and magnitude of ferroresonant voltages is obtained, shown and tabulated.
文摘This paper investigates the Effect of Metal Oxide Arrester (MOV) on the Chaotic Behaviour of power transformers considering nonlinear model for core loss of transformer. The paper contains two parts. In part (1): effect of nonlinear core on the onset of chaotic ferroresonance in a power transformer is evaluated. The core loss is modeled by a third order power series in voltage. in part (2): Effect of Metal Oxide Arrester(MOV) on results in part (1) will be studied. The results reveal that the presence of the arrester has a mitigating effect on ferroresonant chaotic overvoltages. resulted bifurcation diagrams and phase plane diagrams have also been delivered.
基金This work was supported by the National Natural Science Foundation of China (Grant Nos. 29973023 and 29903006). References
文摘The microemuision behavior in the quaternary system alkyl polyglucoside(C_8G_(1.46), C_(10)G_(1.54))/1-butanol/cyclohexane/water has been studied at 40℃ with the alcoholconcentration scanning and the fishlike phase diagram methods. Increasing δ at a constant γ causesa phase inversion from an oil-in-water microemuision in contact with excess oil (Winsor Ⅰ or 2 )to a water-in-oil microemuision in contact with excess water (Winsor Ⅱ or 2) via a middle-phasemicroemuision in contact with excess oil and water (Winsor Ⅲ or 3). By using the simple massbalance equation and the HLB plane equation, the mass fraction of 1-butanol in the interfaciallayer, S_2~s, the monomeric solubilities of APG and 1-butanol, S_1 and S_2, in the oil phase, andthe mass fractions of APG and 1-butanol in the interfacial layer (C_1 and C_2) have been calculated,respectively. The effects of different alcohols, aqueous media arid oils on the phase behavior andthe composition of the interfacial layer are also investigated. It is found that the alcohols withlonger hydrocarbon chain, oil molecules with smaller molecular volume and the addition of inorganicsalt can increase the solubilization of the microemulsions .
