[PDF] Top 20 Piecewise two-dimensional maps and applications to cellular neural networks
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Piecewise two-dimensional maps and applications to cellular neural networks
... 0, and c 1 ∈ R is a biased ...due to the form of the map is a gen- eralized version of Lozi map [Lozi, ...one-dimensional Cellular Neural Networks (CNNs) (see ...theorem ... See full document
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ON THE DENSE ENTROPY OF TWO-DIMENSIONAL INHOMOGENEOUS CELLULAR NEURAL NETWORKS
... Introduction Cellular neural networks (CNN), as presented by Chua and Yang [1988a, 1988b] have been exten- sively investigated, and described in a review [Chua, 1998], which contains ... See full document
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Three-dimensional Cellular Neural Networks and pattern generation problems
... problems and their applications to three-dimensional Cellular Neural Networks ...established to derive a recursive formula for the ordering matrix of a larger finite ... See full document
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Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos
... physical and mathematical backgrounds of CNNs as well as their applications, we refer to [Chua, 1998; Chua & Roska, 1993; Chua & Yang, 1988a, 1988b; Crounse et ...seems to be very unlikely ... See full document
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Cellular Neural Networks for Gray Image Noise Cancellation Based on a Hybrid Linear Matrix Inequality and Particle Swarm Optimization Approach
... Chua and L. Yang first introduced cellular neural networks (CNN) in 1988 ...Due to their local connectivity, using a set of CNNs in parallel to achieve higher-level information ... See full document
9
On the spatial entropy and patterns of two-dimensional cellular neural networks
... of two-dimensional standard cellular neural networks (CNN) as well as the complexity of the binary ...algorithm to generate the patterns in the finite lattice for general ... See full document
15
Snap-back repellers and chaotic traveling waves in one-dimensional cellular neural networks
... corresponding two-dimensional ...one-dimensional Cellular Neural Networks (CNNs) by showing the pres- ence of snap-back ...one- dimensional CNNs (see, ... See full document
15
Transiently chaotic neural networks with piecewise linear output functions
... lead to the optimal route with E ¼ 2:7257 in the evolutions of system ...phase and the convergent phase for the TCNN with piecewise linear output ...concrete and computable parameter ... See full document
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Cellular neural networks: Mosaic pattern and spatial chaos
... Circuits and Systems, since 1988 [11, 12, 13, 15, 16, 19, 33, 36, 39, ...parameters and using different initial ...paper and many others is based on infinite ...important to know the ... See full document
25
On the templates corresponding to cycle-symmetric connectivity in cellular neural networks
... of cellular neural networks (CNN), connections among cells are built on linear coupling ...connections to cycle-symmetric ...of two-dimensional space-invariant templates. We find ... See full document
11
Spatial complexity in multi-layer cellular neural networks
... multi-layer cellular neural networks with input. Applying labeling to the output space produces a sofic shift ...space. Two invariants, namely spatial entropy and dynamical zeta ... See full document
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Spatial disorder of cellular neural networks with biased term
... easier to investigate the complexity of T than the case of z 6= ...According to our results, the entropy function is a staircase func- ...the two-dimensional map T 2 , when r is positive ... See full document
11
Exact number of mosaic patterns in cellular neural networks
... 3. WEN-GUEI HU, SONG-SUN LIN. 2009. ZETA FUNCTIONS FOR HIGHER-DIMENSIONAL SHIFTS OF FINITE TYPE. International Journal of Bifurcation and Chaos 19:11, 3671-3689. [Abstract] [References] [PDF] [PDF Plus] 4. ... See full document
10
On the structure of multi-layer cellular neural networks
... of two-layer CNNs can be extended to decoupling a MCNN into k ...leads to how we decouple the solution space ...into two spaces, for example, Y ( 2 ) is the output space and Y ( 1 ) is ... See full document
35
On The Structure of Multi-Layer Cellular Neural Networks
... equivalent to study the existence of factor maps between two sofic ...(i) and Y (j) are topological conjugate, strongly shift equivalent, shift equiv- alent, or finitely equivalent via the ... See full document
41
Three-dimensional Cellular Neural Networks and Patterns Generation Problems
... problems and its ap- plications to three-dimensional Cellular Neural ...established to derive a recursive formula for the or- dering matrix for a larger finite ...defined ... See full document
39
Bifurcations and chaos in two-cell cellular neural networks with periodic inputs
... positive andˆ ω(b, T, A) is fractal, as in ...observed to the left of the basic periodic cycle. A quasi-periodic region is to the right of the basic periodic ... See full document
27
Cellular neural networks: Mosaic patterns, bifurcation and complexity
... one-dimensional Cellular Neural Network with an output function which is nonflat at ...z and β. Here z is a source (or bias) term and β is the interaction weight between the neighboring ... See full document
12
Dynamics for discrete-time cellular neural networks
... discrete-time cellular neural networks (DT-CNN). In contrast to classical neural networks that are mostly gradient-like systems, DT-CNN possesses both complete stability ... See full document
22
UNIQUE CONTINUATION FOR THE TWO-DIMENSIONAL ANISOTROPIC ELASTICITY SYSTEM AND ITS APPLICATIONS TO INVERSE PROBLEMS
... Abstract. Under some generic assumptions we prove the unique continu- ation property for the two-dimensional inhomogeneous anisotropic elasticity system. Having established the unique continuation property, ... See full document
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