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Article
Set stability of controlled Chua’s circuit under a non-smooth controller with the absolute value
Chua’s circuit is a typical system with the piecewise-smooth vector field via the absolute value. A new piecewise-linear feedback control scheme with the absolute value is introduced to realize stabilization o...
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Chapter and Conference Paper
Pattern Discrimination on Deterministic and Noise-Induced Impulses in Neural Spike Trains
There are considerable contrasts in between the interval distribution of firing responses caused by purely deterministic simulations and noisy ones. We use ISI-distance to calculate the distance between the de...
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Article
Exponential attractor of the 3D derivative Ginzburg-Landau equation
In this paper, we consider a derivative Ginzburg-Landau-type equation with periodic initial-value condition in three-dimensional spaces. Sufficient conditions for existence and uniqueness of a global solution ...
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Chapter and Conference Paper
Effects of Time Delay on Synchronization and Temporal Order in a Square Lattice Noisy Neuronal Network
Synchronization and temporal order characterized by the rate of firing are studied in a spatially extended map neuron network with coupling time delay. It is shown that there exist an intermediate noise level,...
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Chapter and Conference Paper
Noise-Induced Coherence Resonance in Morris-Lecar Neuron System
Noise-induced coherence resonance of square coupled ML neuron models is studied. It is found that an intermediate level noise can make the system produce ordered structure. There also exist optimal fluctuation...
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Chapter and Conference Paper
A New Method for Characterizing the Variability of the Spike Trains
Characterizing the pattern of a spike train is essential to the study of variability in neuroscience and genetic sequences in molecular biology. In neuroscience, traditional methods for sequence comparisons re...
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Chapter and Conference Paper
Synchronization of Chaotic Neuronal Networks with Small-world Topology
Synchronization of coupled chaotic neuronal network with small-world topology is explored in this paper. The synchronization condition of chaotic HR neuronal network is obtained by using the master stability f...
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Chapter and Conference Paper
A Method for Quantifying Temporal and Spatial Patterns of Spike Trains
Spike trains are treated as exact time dependent stepwise functions called response functions. Five variables defined at sequential moments with equal interval are introduced to characterize features of respon...
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Chapter and Conference Paper
A General Criterion of Synchronization Stability in Ensembles of Coupled Systems and Its Application
Complete synchronization of N coupled systems with symmetric configurations is studied in this paper. The main idea of the synchronization stability criterion is based on stability analysis of zero solution of li...
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Article
Singular Characteristics of Nonlinear Normal Modes in a Two Degrees of Freedom Asymmetric Systems with Cubic Nonlinearities
Nonlinear normal modes in a two degrees of freedom asymmetric system with cubic nonlinearities as singularity occurs in the system are studied, based on the invariant space in nonlinear normal modes and pertur.....
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Article
Blow-Up Estimates for a Non-Newtonian Filtration System
The prior estimate and decay property of positive solutions are derived for a system of quasi-linear elliptic differential equations first. Hence, the result of non-existence for differential equation system o...
