Epilepsy is a dynamic disease in which self-organization and emergent structures occur dynamically at multiple levels of neuronal integration. Therefore, the transient relationship within multichannel electroencephalo...
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Epilepsy is a dynamic disease in which self-organization and emergent structures occur dynamically at multiple levels of neuronal integration. Therefore, the transient relationship within multichannel electroencephalograms (EEGs) is crucial for understanding epileptic processes. In this paper, we show that the global relationship within multichannel EEGs provides us with more useful information in classifying two different epilepsy types than pairwise relationships such as cross correlation. To demonstrate this, we determine the global network structure within channels of the scalp EEG based on the minimum spanning tree method. The topological dissimilarity of the network structures from different types of temporal lobe epilepsy is described in the form of the divergence rate and is computed for 11 patients with left (LTLE) and right temporal lobe epilepsy (RTLE). We find that patients with LTLE and RTLE exhibit different large scale network structures, which emerge at the epoch immediately before the seizure onset, not in the preceding epochs. Our results suggest that patients with the two different epilepsy types display distinct large scale dynamical networks with characteristic epileptic network structures.
An incremental sliding mode controller for a class of second-order underactuated systems is proposed to achieve asymptotic stability and favorable performance. The second-order underactuated systems include two subsys...
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An incremental sliding mode controller for a class of second-order underactuated systems is proposed to achieve asymptotic stability and favorable performance. The second-order underactuated systems include two subsystems. Firstly, two state variables of a subsystem are chosen to construct the first-layer sliding surface. Secondly, the first-layer sliding surface and one of the left state variables are used to construct the second-layer sliding surface. The last sliding surface is constructed by the second-layer sliding surface and the left state variable. This proposed design method is applied to investigate the decoupled control of an inverted pendulum. The simulation results show the validity of incremental sliding mode control. At the same time, we analyze the way to construct the sliding surfaces and a rule of selecting parameters to construct the sliding surfaces
This paper analyzes when a Hopf bifurcation occurs for a class of delay differential systems, and constructs the algorithms for determining the bifurcation's occurrence. By using some algebraic criteria, the "...
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This paper analyzes when a Hopf bifurcation occurs for a class of delay differential systems, and constructs the algorithms for determining the bifurcation's occurrence. By using some algebraic criteria, the "complete discrimination system for polynomials" and Hurwitz criterion, on-line determining bifurcation's occurrence can be realized. The methods unify and generalize the relevant results in the literature.
Nervous systems under periodic stimuli display rich dynamical states including mode-locking and chaotic responses, which have been a subject of intense studies in neurodynamics. The bifurcation structure of the Hodgki...
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Nervous systems under periodic stimuli display rich dynamical states including mode-locking and chaotic responses, which have been a subject of intense studies in neurodynamics. The bifurcation structure of the Hodgkin-Huxley neuron under sinusoidal stimulus is studied in detail. The mechanisms of the firing onset and rich firing dynamics are studied with the help of the codimension-2 bifurcations, which play the role of the organizing center for myriads of saddle-node, period-doubling, and inverse-flip bifurcations forming the boundaries of the complex mode-locking structure. This study provides a useful insight into the organization of similar bifurcation structures in excitable systems such as neurons under periodic forcing.
Integral-controller particle swarm optimization (ICPSO), influenced by inertia weight w and coefficient ψ is a new swarm technology by adding accelerator information. Based on stability analysis, the convergence cond...
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ISBN:
(纸本)9781424404759
Integral-controller particle swarm optimization (ICPSO), influenced by inertia weight w and coefficient ψ is a new swarm technology by adding accelerator information. Based on stability analysis, the convergence conditions imply the negative selection principles of inertia weight w, and the relationship between w and ψ. To improve the computational efficiency, an adaptive strategy for tuning the parameters of ICPSO is described using a new statistical variable reflecting computational efficiency index-average accelerator information. The optimization computing of some examples is made to show that the ICPSO has better global search capacity and rapid convergence speed.
The standard particle swarm optimization (PSO) may prematurely converge on suboptimal solution partly because of the insufficiency information utilization of the velocity. The time cost by velocity is longer than posi...
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ISBN:
(纸本)1424404754;9781424404759
The standard particle swarm optimization (PSO) may prematurely converge on suboptimal solution partly because of the insufficiency information utilization of the velocity. The time cost by velocity is longer than position of each particle of the swarm, though the velocity, limited by the constant Vmax, onfy provides the positional displacement To avoid premature convergence, a new modified PSO, predicted PSO, is proposed owning two different swarms in which the velocity without limitation, considered as a predictor, is used to explore the search space besides providing the displacement while the position considered as a corrector. The algorithm gives some balance between global and local search capability. The optimization computing of some examples is made to show the new algorithm has better global search capacity and rapid convergence rate.
作者:
Chang-Woo ShinSeunghwan Kim[]Asia Pacific Center for Theoretical Physics
National Core Research Center for System Biodynamics and Nonlinear and Complex Systems Laboratory Department of Physics Pohang University of Science and Technology San 31 Hyoja-dong Nam-gu Pohang Gyungbuk Korea 790-784
Recent studies on complexsystems have shown that the synchronization of oscillators, including neuronal ones, is faster, stronger, and more efficient in small-world networks than in regular or random networks. We sho...
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Recent studies on complexsystems have shown that the synchronization of oscillators, including neuronal ones, is faster, stronger, and more efficient in small-world networks than in regular or random networks. We show that the functional structures in the brain can be self-organized to both small-world and scale-free networks by synaptic reorganization via spike timing dependent synaptic plasticity instead of conventional Hebbian learning rules. We show that the balance between the excitatory and the inhibitory synaptic inputs is critical in the formation of the functional structure, which is found to lie in a self-organized critical state.
In this work we consider the problem of flow turbulence control in a two-dimensional Navier-Stokes equation. We suggest a control strategy which sporadically applies global feedback to a single velocity component of t...
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In this work we consider the problem of flow turbulence control in a two-dimensional Navier-Stokes equation. We suggest a control strategy which sporadically applies global feedback to a single velocity component of the velocity field. It is found that this control strategy can significantly enhance the control efficiency when the optimal fraction for the control period is suitably chosen, both larger and smaller control time fractions may reduce the control precision. The physical mechanism underlying this interesting and strange behavior is heuristically analyzed, based on mode-mode interactions.
Winfree turbulence is a chaotic wave pattern developing through negative-tension instability of scroll wave filaments in three-dimensional weak excitable media. Here, we investigate the response of Winfree turbulence ...
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Winfree turbulence is a chaotic wave pattern developing through negative-tension instability of scroll wave filaments in three-dimensional weak excitable media. Here, we investigate the response of Winfree turbulence to a spatiotemporal forcing in the form of a traveling-wave modulation of the medium excitability. It is shown that turbulent waves can be suppressed much more rapidly by this method, in comparison with the space-uniform modulation of the medium excitability. Since the occurrence of Winfree turbulence is currently regarded as one of the possible mechanisms underlying cardiac fibrillation, this method turns out to be suggestive of a possible low-amplitude defibrillation approach.
Pattern formation in spatiotemporal chaotic systems is investigated. Temporally chaotic and spatially ordered patterns are observed by varying the coupling strength. Spatial orderings emerge spontaneously due to self-...
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Pattern formation in spatiotemporal chaotic systems is investigated. Temporally chaotic and spatially ordered patterns are observed by varying the coupling strength. Spatial orderings emerge spontaneously due to self-organization of partial and nonlocal chaos synchronization, governed by various types of spatial symmetries. The first and secondary bifurcations from spatially disordered chaos to chaos with different levels of spatial orderings are observed and the scaling behaviors associated with these bifurcations are statistically analyzed.
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