The Experts below are selected from a list of 41940 Experts worldwide ranked by ideXlab platform
Jinde Cao - One of the best experts on this subject based on the ideXlab platform.
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hybrid control of Hopf Bifurcation in complex networks with delays
Neurocomputing, 2014Co-Authors: Zunshui Cheng, Jinde CaoAbstract:In this paper, the problem of Hopf Bifurcation control for a complex network model with time delays is considered by using a new hybrid control strategy, in which state feedback and parameter perturbation are used. To control the Hopf Bifurcation, a hybrid control strategy is proposed and the onset of an inherent Bifurcation is delayed (advanced) when such a Bifurcation is undesired (desired). Furthermore, the dynamic behaviors of the controlled system can also be changed by choosing appropriate control parameters. Numerical simulation results confirm that the new control strategy is efficient in controlling Hopf Bifurcation.
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Hopf Bifurcation control for delayed complex networks
Journal of the Franklin Institute, 2007Co-Authors: Zunshui Cheng, Jinde CaoAbstract:In this paper, we consider the problem of Hopf Bifurcation control for a complex network model with time delays. We know that for the system without control, as the positive gain parameter of the system passes a critical point, Hopf Bifurcation occurs. To control the Hopf Bifurcation, a time-delayed feedback controller is proposed to delay the onset of an inherent Bifurcation when such Bifurcation is undesired. Furthermore, we can also change the stability and direction of bifurcating periodic solutions by choosing appropriate control parameters. Numerical simulation results confirm that the new feedback controller using time delay is efficient in controlling Hopf Bifurcation.
Zunshui Cheng - One of the best experts on this subject based on the ideXlab platform.
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hybrid control of Hopf Bifurcation in complex networks with delays
Neurocomputing, 2014Co-Authors: Zunshui Cheng, Jinde CaoAbstract:In this paper, the problem of Hopf Bifurcation control for a complex network model with time delays is considered by using a new hybrid control strategy, in which state feedback and parameter perturbation are used. To control the Hopf Bifurcation, a hybrid control strategy is proposed and the onset of an inherent Bifurcation is delayed (advanced) when such a Bifurcation is undesired (desired). Furthermore, the dynamic behaviors of the controlled system can also be changed by choosing appropriate control parameters. Numerical simulation results confirm that the new control strategy is efficient in controlling Hopf Bifurcation.
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Hopf Bifurcation control for delayed complex networks
Journal of the Franklin Institute, 2007Co-Authors: Zunshui Cheng, Jinde CaoAbstract:In this paper, we consider the problem of Hopf Bifurcation control for a complex network model with time delays. We know that for the system without control, as the positive gain parameter of the system passes a critical point, Hopf Bifurcation occurs. To control the Hopf Bifurcation, a time-delayed feedback controller is proposed to delay the onset of an inherent Bifurcation when such Bifurcation is undesired. Furthermore, we can also change the stability and direction of bifurcating periodic solutions by choosing appropriate control parameters. Numerical simulation results confirm that the new feedback controller using time delay is efficient in controlling Hopf Bifurcation.
Lei Wang - One of the best experts on this subject based on the ideXlab platform.
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Hopf Bifurcation in cohen grossberg neural network with distributed delays
Nonlinear Analysis-real World Applications, 2007Co-Authors: Hongyong Zhao, Lei WangAbstract:Abstract In this paper, we discuss the stability and Bifurcation of the distributed delays Cohen–Grossberg neural networks with two neurons. By choosing the average delay as a Bifurcation parameter, we prove that Hopf Bifurcation occurs. The stability of bifurcating periodic solutions and the direction of Hopf Bifurcation are determined by applying the normal form theory and the center manifold theorem. Finally, numerical simulation results are given to support the theoretical predictions.
Tamás Kalmár-nagy - One of the best experts on this subject based on the ideXlab platform.
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Measuring the criticality of a Hopf Bifurcation
Nonlinear Dynamics, 2020Co-Authors: Alexei Uteshev, Tamás Kalmár-nagyAbstract:This work is based on the observation that the first Poincare–Lyapunov constant is a quadratic function of the coefficients of the two-dimensional vector field at a Hopf Bifurcation. From a given parameter point, we find the distance to the “Hopf quadric.” This distance provides a measure of the criticality of the Hopf Bifurcation. The viability of the approach is demonstrated through numerical examples.
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Measuring the criticality of a Hopf Bifurcation
Nonlinear Dynamics, 2020Co-Authors: Alexei Uteshev, Tamás Kalmár-nagyAbstract:This work is based on the observation that the first Poincaré–Lyapunov constant is a quadratic function of the coefficients of the two-dimensional vector field at a Hopf Bifurcation. From a given parameter point, we find the distance to the “Hopf quadric.” This distance provides a measure of the criticality of the Hopf Bifurcation. The viability of the approach is demonstrated through numerical examples.
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Graceful Passage Through Hopf Bifurcation
IFAC Proceedings Volumes, 2011Co-Authors: Cornel Sultan, Tamás Kalmár-nagyAbstract:Abstract The concept of “graceful” transition through a Hopf Bifurcation for a system of nonlinear ordinary differential equations (ODEs) is introduced. The key idea is to control the system such that its state space trajectory is close to the branch of equilibrium solutions or to the branch of periodic solutions associated with a Hopf Bifurcation. This kind of evolution is called “graceful” and can be generated by formulating and solving optimization control problems.
Hong Xiang - One of the best experts on this subject based on the ideXlab platform.
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Hopf Bifurcation in a three-species system with delays
Journal of Applied Mathematics and Computing, 2010Co-Authors: Xin-you Meng, Hai-feng Huo, Hong XiangAbstract:A kind of three-species system with Holling II functional response and two delays is introduced. Its local stability and the existence of Hopf Bifurcation are demonstrated by analyzing the associated characteristic equation. By using the normal form method and center manifold theorem, explicit formulas to determine the direction of the Hopf Bifurcation and the stability of bifurcating periodic solution are also obtained. In addition, the global existence results of periodic solutions bifurcating from Hopf Bifurcations are established by using a global Hopf Bifurcation result. Numerical simulation results are also given to support our theoretical predictions.
