Results 11 to 20 of about 446,195 (288)
An absorbing set for the Chialvo map
Communications in Nonlinear Science and Numerical SimulationThe classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set.
Paweł Pilarczyk, Grzegorz Graff
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Thresholds of Absorbing Sets in Low-Density Parity-Check Codes [PDF]
IEEE Transactions on Communications, 2017 In this paper, we investigate absorbing sets, responsible of error floors in Low Density Parity Check codes. We look for a concise, quantitative way to rate the absorbing sets' dangerousness. Based on a simplified model for iterative decoding evolution, we show that absorbing sets exhibit a threshold behavior. An absorbing set with at least one channel
Tomasoni A, Bellini S, Ferrari M
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Absorbing sets and Baker domains for holomorphic maps [PDF]
Journal of the London Mathematical Society, 2021 We consider holomorphic maps $f: U \to U$ for a hyperbolic domain $U$ in the complex plane, such that the iterates of $f$ converge to a boundary point $ $ of $U$. By a previous result of the authors, for such maps there exist nice absorbing domains $W \subset U$. In this paper we show that $W$ can be chosen to be simply connected, if $f$ has parabolic
Baranski, Krzysztof +3 more
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Global dynamics of a fourth-order parabolic equation describing crystal surface growth
Nonlinear Analysis, 2019 In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).
Ning Duan, Xianyun Xu
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A note on dissipativity and permanence of delay difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We give sufficient conditions on the uniform boundedness and permanence of non-autonomous multiple delay difference equations of the form \[x_{k+1}=x_k f_k(x_{k-d},\dots,x_{k-1},x_k),\] where $f_k\colon D \subseteq (0,\infty)^{d+1}\to (0,\infty ...
Ábel Garab
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Shock and Vibration, 2020 It has generally been believed that the serious seismic damage of tunnel mainly occurred in portal section and fault dislocation zone. However, the survey of seismic damage showed that the seismic damage of tunnel also mainly occurred in geological ...
Dao-yuan Wang +4 more
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From resolvent estimates to damped waves [PDF]
, 2012 In this paper we show how to obtain decay estimates for the damped wave equation on a compact manifold without geometric control via knowledge of the dynamics near the un-damped set.
Christianson, Hans +3 more
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2012 7th International Symposium on Turbo Codes and Iterative Information Processing (ISTC), 2012 Absorbing sets have been identified as structures in the graph of a low-density parity-check code that cause error floors — in particular in combination with binary message passing decoding algorithms. In this paper it is shown that absorbing sets involving only variable nodes up to degree 3 are equivalent to cycles and a sufficient and necessary ...
Gottfried Lechner, Sarah J. Johnson
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Existence result of the global attractor for a triply nonlinear thermistor problem
Moroccan Journal of Pure and Applied Analysis, 2023 We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor.
Ammi Moulay Rchid Sidi +3 more
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On global dynamics of 2D convective Cahn–Hilliard equation
Boundary Value Problems, 2020 In this paper, we study the long time behavior of solution for the initial-boundary value problem of convective Cahn–Hilliard equation in a 2D case. We show that the equation has a global attractor in H 4 ( Ω ) $H^{4}(\Omega )$ when the initial value ...
Xiaopeng Zhao
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