In this paper, a derivative estimator is introduced to obtain differential information of images.... more In this paper, a derivative estimator is introduced to obtain differential information of images. Experiments show that differentials obtained by this estimator outperform the traditional Sobel operator and this estimator is practical for extracting differential image information. A new image representation in this differential space is also proposed. Differential sign sequences of images are used as the signature of image patterns. The Hamming distance is used for template matching. The proposed representation is invariant to brightness and contrast and is robust to noise because of the low pass property of the estimator. Template matching is used as an example to exhibit the advantage of this representation. Experiments demonstrate good performance of the proposed method.
In this paper, a hybrid method using active control and a High Order Differentiator (HOD) methodo... more In this paper, a hybrid method using active control and a High Order Differentiator (HOD) methodology is proposed to synchronize chaotic systems. Compared to some traditional active control methods, this new method can synchronize chaotic systems where only output states of the master system are available, i.e. the system is considered a black box. The HOD is used to estimate the derivative information of the master system followed by an active control methodology relying on HOD information. The Qi hyperchaotic system is used to verify the performance of this hybrid method. The proposed method is also compared to some traditional methods. Experimental results show that the proposed method has high synchronization precision and speed and is robust against uncertainties in the master system. The circus implements of the proposed synchronizing scheme are included in this paper. The simulation results show the feasibility of the proposed scheme.
International Journal of Bifurcation and Chaos, 2009
Page 1. December 8, 2009 14:36 02517 International Journal of Bifurcation and Chaos, Vol. 19, No.... more Page 1. December 8, 2009 14:36 02517 International Journal of Bifurcation and Chaos, Vol. 19, No. 11 (2009) 3841–3853 c World Scientific Publishing Company A GENERALIZED 3-D FOUR-WING CHAOTIC SYSTEM ZENGHUI ...
This paper reports a new four-dimensional continuous autonomous chaotic system, in which each equ... more This paper reports a new four-dimensional continuous autonomous chaotic system, in which each equation in the system contains a 3-term cross product. Basic properties of the system are analyzed by means of Lyapunov exponents and bifurcation diagrams.
This Letter presents a new hyperchaotic system by introducing an additional state feedback into a... more This Letter presents a new hyperchaotic system by introducing an additional state feedback into a three-dimensional quadratic chaotic system. The system only has one equilibrium, but it can evolve into periodic, quasi-periodic, chaotic and hyperchaotic dynamical behaviors. Basic bifurcation analysis of the new system is investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. We find that the new
In this paper, a derivative estimator is introduced to obtain differential information of images.... more In this paper, a derivative estimator is introduced to obtain differential information of images. Experiments show that differentials obtained by this estimator outperform the traditional Sobel operator and this estimator is practical for extracting differential image information. A new image representation in this differential space is also proposed. Differential sign sequences of images are used as the signature of image patterns. The Hamming distance is used for template matching. The proposed representation is invariant to brightness and contrast and is robust to noise because of the low pass property of the estimator. Template matching is used as an example to exhibit the advantage of this representation. Experiments demonstrate good performance of the proposed method.
In this paper, a hybrid method using active control and a High Order Differentiator (HOD) methodo... more In this paper, a hybrid method using active control and a High Order Differentiator (HOD) methodology is proposed to synchronize chaotic systems. Compared to some traditional active control methods, this new method can synchronize chaotic systems where only output states of the master system are available, i.e. the system is considered a black box. The HOD is used to estimate the derivative information of the master system followed by an active control methodology relying on HOD information. The Qi hyperchaotic system is used to verify the performance of this hybrid method. The proposed method is also compared to some traditional methods. Experimental results show that the proposed method has high synchronization precision and speed and is robust against uncertainties in the master system. The circus implements of the proposed synchronizing scheme are included in this paper. The simulation results show the feasibility of the proposed scheme.
International Journal of Bifurcation and Chaos, 2009
Page 1. December 8, 2009 14:36 02517 International Journal of Bifurcation and Chaos, Vol. 19, No.... more Page 1. December 8, 2009 14:36 02517 International Journal of Bifurcation and Chaos, Vol. 19, No. 11 (2009) 3841–3853 c World Scientific Publishing Company A GENERALIZED 3-D FOUR-WING CHAOTIC SYSTEM ZENGHUI ...
This paper reports a new four-dimensional continuous autonomous chaotic system, in which each equ... more This paper reports a new four-dimensional continuous autonomous chaotic system, in which each equation in the system contains a 3-term cross product. Basic properties of the system are analyzed by means of Lyapunov exponents and bifurcation diagrams.
This Letter presents a new hyperchaotic system by introducing an additional state feedback into a... more This Letter presents a new hyperchaotic system by introducing an additional state feedback into a three-dimensional quadratic chaotic system. The system only has one equilibrium, but it can evolve into periodic, quasi-periodic, chaotic and hyperchaotic dynamical behaviors. Basic bifurcation analysis of the new system is investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. We find that the new
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