Phase Response

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Hiroya Nakao - One of the best experts on this subject based on the ideXlab platform.

  • Phase-Response analysis of synchronization for periodic flows
    Journal of Fluid Mechanics, 2018
    Co-Authors: Kunihiko Taira, Hiroya Nakao
    Abstract:

    We apply the Phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the Phase dynamics reducing the high-dimensional fluid flow to its single scalar Phase variable. We characterize the Phase Response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from the Phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on unsteady cylinder wake. The condition for synchronization is identified and agrees closely with results from direct numerical simulations. Moreover, the analysis reveals the optimal forcing direction for synchronization. The Phase-Response analysis holds potential to uncover lock-on characteristics for a range of periodic flows.

  • Phase-Response analysis of synchronization for periodic flows
    Journal of Fluid Mechanics, 2018
    Co-Authors: Kunihiko Taira, Hiroya Nakao
    Abstract:

    We apply Phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows is described in terms of the Phase dynamics, reducing the high-dimensional fluid flow to its single scalar Phase variable. We characterize the Phase Response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from Phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on an unsteady cylinder wake. The condition for synchronization is identified and agrees closely with results from direct numerical simulations. Moreover, the analysis reveals the optimal forcing direction for synchronization. Phase-Response analysis holds potential to uncover lock-on characteristics for a range of periodic flows.

Kunihiko Taira - One of the best experts on this subject based on the ideXlab platform.

  • Phase-Response analysis of synchronization for periodic flows
    Journal of Fluid Mechanics, 2018
    Co-Authors: Kunihiko Taira, Hiroya Nakao
    Abstract:

    We apply the Phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the Phase dynamics reducing the high-dimensional fluid flow to its single scalar Phase variable. We characterize the Phase Response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from the Phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on unsteady cylinder wake. The condition for synchronization is identified and agrees closely with results from direct numerical simulations. Moreover, the analysis reveals the optimal forcing direction for synchronization. The Phase-Response analysis holds potential to uncover lock-on characteristics for a range of periodic flows.

  • Phase-Response analysis of synchronization for periodic flows
    Journal of Fluid Mechanics, 2018
    Co-Authors: Kunihiko Taira, Hiroya Nakao
    Abstract:

    We apply Phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows is described in terms of the Phase dynamics, reducing the high-dimensional fluid flow to its single scalar Phase variable. We characterize the Phase Response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from Phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on an unsteady cylinder wake. The condition for synchronization is identified and agrees closely with results from direct numerical simulations. Moreover, the analysis reveals the optimal forcing direction for synchronization. Phase-Response analysis holds potential to uncover lock-on characteristics for a range of periodic flows.

Jiang Wang - One of the best experts on this subject based on the ideXlab platform.

  • effects of synaptic coupling on Phase Response curve of neurons
    BioMedical Engineering and Informatics, 2014
    Co-Authors: Yanqiu Che, Xile Wei, Jiang Wang
    Abstract:

    The problem of Phase Response curves (PRCs) for two neuronal oscillators coupled with chemical synapse is considered in this paper. For small inputs, the PRCs can be computed for a linearized model for the system on the limit cycle. But for an input with large amplitude, the PRCs could be computed by direct method. The shape of Phase Response curve for single oscillator is depending on the influence of external stimuli, while in neuron networks, neurons are coupled to each other, and the couplings can affect the Response of the neuronal oscillators to stimulation. Based on the direct PRCs, we investigate the effects of excitatory and inhibitory synaptic couplings on the PRCs of oscillators, and find that the effects of couplings on Phase Response of neurons are not only depending on the nature of couplings, but also on the initial Phase errors between coupled neurons, which can be explained by the Phase difference coupling function.

  • BMEI - Effects of synaptic coupling on Phase Response curve of neurons
    2014 7th International Conference on Biomedical Engineering and Informatics, 2014
    Co-Authors: Yanqiu Che, Xile Wei, Jiang Wang
    Abstract:

    The problem of Phase Response curves (PRCs) for two neuronal oscillators coupled with chemical synapse is considered in this paper. For small inputs, the PRCs can be computed for a linearized model for the system on the limit cycle. But for an input with large amplitude, the PRCs could be computed by direct method. The shape of Phase Response curve for single oscillator is depending on the influence of external stimuli, while in neuron networks, neurons are coupled to each other, and the couplings can affect the Response of the neuronal oscillators to stimulation. Based on the direct PRCs, we investigate the effects of excitatory and inhibitory synaptic couplings on the PRCs of oscillators, and find that the effects of couplings on Phase Response of neurons are not only depending on the nature of couplings, but also on the initial Phase errors between coupled neurons, which can be explained by the Phase difference coupling function.

  • The intrinsic Phase Response properties of an interneuron model
    Neurocomputing, 2012
    Co-Authors: Xile Wei, Bin Deng, Jiang Wang
    Abstract:

    Burst Phase Response properties of the leach heart interneuron are analyzed in this paper. By numerical simulation, we find some inherent laws for the burst Phase Response curve (BPRC) of the interneuron. The onto Poincare return mapping combined with the Phase portrait analysis can be used to explain the inherent properties of the BPRC effectively. For understanding the relationship between Phase Response curve and synchronization, we compare the synchronization properties of the interneuron with the Hindmarsh-Rose (HR) neuron which has the almost opposite shapes of BPRC to that of the interneuron, and find perfect Phase synchronization exists in the interneuron model, but cannot be observed in the HR model under excitatory weak synaptic connectivity.

Walter N. Tapp - One of the best experts on this subject based on the ideXlab platform.

Xile Wei - One of the best experts on this subject based on the ideXlab platform.

  • effects of synaptic coupling on Phase Response curve of neurons
    BioMedical Engineering and Informatics, 2014
    Co-Authors: Yanqiu Che, Xile Wei, Jiang Wang
    Abstract:

    The problem of Phase Response curves (PRCs) for two neuronal oscillators coupled with chemical synapse is considered in this paper. For small inputs, the PRCs can be computed for a linearized model for the system on the limit cycle. But for an input with large amplitude, the PRCs could be computed by direct method. The shape of Phase Response curve for single oscillator is depending on the influence of external stimuli, while in neuron networks, neurons are coupled to each other, and the couplings can affect the Response of the neuronal oscillators to stimulation. Based on the direct PRCs, we investigate the effects of excitatory and inhibitory synaptic couplings on the PRCs of oscillators, and find that the effects of couplings on Phase Response of neurons are not only depending on the nature of couplings, but also on the initial Phase errors between coupled neurons, which can be explained by the Phase difference coupling function.

  • BMEI - Effects of synaptic coupling on Phase Response curve of neurons
    2014 7th International Conference on Biomedical Engineering and Informatics, 2014
    Co-Authors: Yanqiu Che, Xile Wei, Jiang Wang
    Abstract:

    The problem of Phase Response curves (PRCs) for two neuronal oscillators coupled with chemical synapse is considered in this paper. For small inputs, the PRCs can be computed for a linearized model for the system on the limit cycle. But for an input with large amplitude, the PRCs could be computed by direct method. The shape of Phase Response curve for single oscillator is depending on the influence of external stimuli, while in neuron networks, neurons are coupled to each other, and the couplings can affect the Response of the neuronal oscillators to stimulation. Based on the direct PRCs, we investigate the effects of excitatory and inhibitory synaptic couplings on the PRCs of oscillators, and find that the effects of couplings on Phase Response of neurons are not only depending on the nature of couplings, but also on the initial Phase errors between coupled neurons, which can be explained by the Phase difference coupling function.

  • The intrinsic Phase Response properties of an interneuron model
    Neurocomputing, 2012
    Co-Authors: Xile Wei, Bin Deng, Jiang Wang
    Abstract:

    Burst Phase Response properties of the leach heart interneuron are analyzed in this paper. By numerical simulation, we find some inherent laws for the burst Phase Response curve (BPRC) of the interneuron. The onto Poincare return mapping combined with the Phase portrait analysis can be used to explain the inherent properties of the BPRC effectively. For understanding the relationship between Phase Response curve and synchronization, we compare the synchronization properties of the interneuron with the Hindmarsh-Rose (HR) neuron which has the almost opposite shapes of BPRC to that of the interneuron, and find perfect Phase synchronization exists in the interneuron model, but cannot be observed in the HR model under excitatory weak synaptic connectivity.