Results 1 to 10 of about 5,660 (164)
Dynamical and Stochastic Analysis of a Piezoelectric Neuron Model for Intelligent Sensing Applications [PDF]
SensorsIn this work, we explore a piezoelectric neuron model in deterministic perturbations and stochastic forcing due to its use in mechanically driven sensing systems and neuromorphic sensor design.
Atef Abdelkader +2 more
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Effortless estimation of basins of attraction [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022 We present a fully automated method that identifies attractors and their basins of attraction without approximations of the dynamics. The method works by defining a finite state machine on top of the dynamical system flow. The input to the method is a dynamical system evolution rule and a grid that partitions the state space.
George Datseris, Alexandre Wagemakers
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Invited paper: A Review of Thresheld Convergence
GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología, 2022 A multi-modal search space can be defined as having multiple attraction basins – each basin has a single local optimum which is reached from all points in that basin when greedy local search is used. Optimization in multi-modal search spaces can then be
Stephen Chen +3 more
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A Characterization of the Dynamics of Schröder’s Method for Polynomials with Two Roots
Fractal and Fractional, 2021 The purpose of this work is to give a first approach to the dynamical behavior of Schröder’s method, a well-known iterative process for solving nonlinear equations. In this context, we consider equations defined in the complex plane. By using topological
Víctor Galilea, José M. Gutiérrez
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BASINS OF ATTRACTION FOR CASCADING MAPS [PDF]
International Journal of Bifurcation and Chaos, 2004 We study a finite uni-directional array of "cascading" or "threshold coupled" chaotic maps. We describe some of the attractors for such systems and prove general results about their basins of attraction. In particular, we show that the basins of attraction have infinitely many path components.
Erik M. Boczko, Todd R. Young
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Invited paper: A Review of Thresheld Convergence [PDF]
GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología, 2015 A multi-modal search space can be defined as having multiple attraction basins – each basin has a single local optimum which is reached from all points in that basin when greedy local search is used.
Stephen Chen +3 more
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Precritical State Transition Dynamics in the Attractor Landscape of a Molecular Interaction Network Underlying Colorectal Tumorigenesis. [PDF]
PLoS ONE, 2015 From the perspective of systems science, tumorigenesis can be hypothesized as a critical transition (an abrupt shift from one state to another) between proliferative and apoptotic attractors on the state space of a molecular interaction network, for ...
Hyunho Chu, Daewon Lee, Kwang-Hyun Cho
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Partition of networks into basins of attraction [PDF]
Physical Review E, 2008 We study partition of networks into basins of attraction based on a steepest ascent search for the node of highest degree. Each node is associated with, or "attracted" to its neighbor of maximal degree, as long as the degree is increasing. A node that has no neighbors of higher degree is a peak, attracting all the nodes in its basin.
Carmi, Shai +2 more
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Basin of Attraction Analysis of New Memristor-Based Fractional-Order Chaotic System
Complexity, 2021 Memristor is the fourth basic electronic element discovered in addition to resistor, capacitor, and inductor. It is a nonlinear gadget with memory features which can be used for realizing chaotic, memory, neural network, and other similar circuits and ...
Long Ding, Li Cui, Fei Yu, Jie Jin
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A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis
Mathematics, 2022 Data security represents an essential task in the present day, in which chaotic models have an excellent role in designing modern cryptosystems. Here, a novel oscillator with chaotic dynamics is presented and its dynamical properties are investigated ...
Ahmed A. Abd El-Latif +4 more
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