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Aperiodic stochastic resonance in chaotic maps
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998It is shown by means of numerical simulations that aperiodic stochastic resonance occurs in chaotic one-dimensional maps with various kinds of intermittency. The effect appears in the absence of external noise, as the system control parameter is varied.
Krawiecki, A., Sukiennicki, A.
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Strange chaotic triangular maps
Chaos, Solitons & Fractals, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2007
The parametrically coupled map lattice (PCML) exhibits many interesting dynamical behaviors that are reminiscent of the adaptation and the learning of the neural network. In order for the PCML to be a model of the neural network, however, it is necessary to identify the biological counterpart of one-dimensional maps that constitute the PCML. One of the
Lee, G Lee, Geehyuk, Yi, GS Yi, Gwan-Su
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The parametrically coupled map lattice (PCML) exhibits many interesting dynamical behaviors that are reminiscent of the adaptation and the learning of the neural network. In order for the PCML to be a model of the neural network, however, it is necessary to identify the biological counterpart of one-dimensional maps that constitute the PCML. One of the
Lee, G Lee, Geehyuk, Yi, GS Yi, Gwan-Su
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Mechanism of multistability in chaotic maps
Chaos: An Interdisciplinary Journal of Nonlinear ScienceThis research aims to investigate the mechanisms of multistability in chaotic maps. The study commences by examining the fundamental principles governing the development of homogeneous multistability using a basic one-dimensional chain-climbing map. Findings suggest that the phase space can be segmented into distinct uniform mediums where particles ...
Jin Liu, Kehui Sun, Huihai Wang
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Chaotic synchronization of coupled ergodic maps
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2001With few exceptions, studies of chaotic synchronization have focused on dissipative chaos. Though less well known, chaotic systems that lack dissipation may also synchronize. Motivated by an application in communication systems, we couple a family of ergodic maps on the N-torus and study the global stability of the synchronous state.
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Chaotic boundary of a Hamiltonial map
Physica D: Nonlinear Phenomena, 1982zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear Analysis: Theory, Methods & Applications, 2001
S. LENCI, LUPINI, RENZO
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S. LENCI, LUPINI, RENZO
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Chaotic Synchronization of Maps
2011In chapter 3, the concept of chaotic synchronization was introduced on flows, as is most often done in the literature [1]. However, the principles of chaotic synchronization presented in sections 3.1 and 3.2 [1] are also equally applicable to chaotic maps [2]. In contrast to section 3.4 [1], this chapter proposes a method of designing nonlinear control
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Gradients and consequences of heterogeneity in biofilms
Nature Reviews Microbiology, 2022Jeanyoung Jo +2 more
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