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A new three-dimensional chaotic system and its modified generalized projective synchronization 下载免费PDF全文
Based on the Chen chaotic system,this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore,based on Lyapunov stability theory,it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems 下载免费PDF全文
This paper focuses on the synchronisation between fractional-order and integer-order chaotic systems.Based on Lyapunov stability theory and numerical differentiation,a nonlinear feedback controller is obtained to achieve the synchronisation between fractional-order and integer-order chaotic systems.Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh--Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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Effect of power frequency excitation character on ferroresonance in neutral-grounded system 下载免费PDF全文
In most earlier ferroresonance studies the traditional excitation characteristic of iron core,in which the traditional excitation characteristic contains harmonic voltages or currents,has been used as if it were made up of pure fundamental voltage or current.However,this is not always true.In comparison with traditional excitation characteristics,this paper introduces the power frequency excitation characteristic of the iron core,which contains no harmonics.The power frequency excitation characteristic of iron core has been obtained by Elector Magnetic Transient Program,resulting in discrete voltage and current pairs.Extensive simulations are carried out to analyse the effect of power frequency excitation characteristic on potential transformer ferroresonance.A detailed analysis of simulation results demonstrates that with power frequency excitation characteristic of iron core inclusion at certain excitation voltage the ferroresonance may happen,conversely it may not happen with traditional excitation characteristic inclusion. 相似文献
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The chaotic behaviour exhibited by a typical ferroresonant circuit
in a neutral grounding system is investigated in this paper. In most
earlier ferroresonance studies the core loss of the power transformer
was neglected or represented by a linear resistance. However, this is
not always true. In this paper the core loss of the power transformer is
modelled by a third order series in voltage and the magnetization
characteristics of the transformer are modelled by an 11th order two-term
polynomial. Extensive simulations are carried out to analyse the
effect of nonlinear core loss on transformer ferroresonance. A
detailed analysis of simulation results demonstrates that, with the
nonlinear core loss model used, the onset of chaos appears at a
larger source voltage and the transient duration is shorter. 相似文献
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