DYNAMICAL AND COMPLEXITY RESULTS FOR HIGH ORDER NEURAL NETWORKS

1994 ◽  
Vol 05 (03) ◽  
pp. 241-252 ◽  
Author(s):  
ERIC GOLES ◽  
MARTÍN MATAMALA
Keyword(s):  
Neural Networks ◽  
Dynamical Behavior ◽  
Energy Functional ◽  
Iteration Scheme ◽  
High Order ◽  
The Other ◽  
The Family ◽  
Linear Neural Network ◽  
Sequential Iteration ◽  
Complex Dynamical Behavior

We present dynamical results concerning neural networks with high order arguments. More precisely, we study the family of block-sequential iteration of neural networks with polynomial arguments. In this context, we prove that, under a symmetric hypothesis, the sequential iteration is the only one of this family to converge to fixed points. The other iteration modes present a highly complex dynamical behavior: non-bounded cycles and simulation of arbitrary non-symmetric linear neural network.5 We also study a high order memory iteration scheme which accepts an energy functional and bounded cycles in the size of the memory steps.

ON THE MARGIN OF COMPLETE STABILITY FOR A CLASS OF CELLULAR NEURAL NETWORKS

2008 ◽  
Vol 18 (05) ◽  
pp. 1343-1361 ◽  
Author(s):  
MAURO DI MARCO ◽  
MAURO FORTI ◽  
ALBERTO TESI
Keyword(s):  
Neural Networks ◽  
Dynamical Behavior ◽  
Stability Margin ◽  
Cellular Neural Networks ◽  
Third Order ◽  
Dimensional Parameter ◽  
The Family ◽  
A New Technique ◽  
Two Parameters

In this paper, the dynamical behavior of a class of third-order competitive cellular neural networks (CNNs) depending on two parameters, is studied. The class contains a one-parameter family of symmetric CNNs, which are known to be completely stable. The main result is that it is a generic property within the family of symmetric CNNs that complete stability is robust with respect to (small) nonsymmetric perturbations of the neuron interconnections. The paper also gives an exact evaluation of the complete stability margin of each symmetric CNN via the characterization of the whole region in the two-dimensional parameter space where the CNNs turn out to be completely stable. The results are established by means of a new technique to investigate trajectory convergence of the considered class of CNNs in the nonsymmetric case.

Dynamical behavior of recurrent neural networks with different external inputs

2021 ◽  
Author(s):  
Houssem Achouri ◽  
Chaouki Aouiti
Keyword(s):  
Neural Networks ◽  
Fixed Point ◽  
Recurrent Neural Networks ◽  
Dynamical Behavior ◽  
High Order ◽  
Bounded Solutions ◽  
Compact Sets ◽  
Banach’S Fixed Point Theorem ◽  
Asymptotic Point ◽  
Theoretical Results

The main aim of this paper is to study the dynamics of a recurrent neural networks with different input currents in terms of asymptotic point. Under certain circumstances, we studied the existence, the uniqueness of bounded solutions and their homoclinic and heteroclinic motions of the considered system with rectangular currents input. Moreover, we studied the unpredictable behavior of the continuous high-order recurrent neural networks and the discrete high-order recurrent neural networks. Our method was primarily based on Banach’s fixed-point theorem, topology of uniform convergence on compact sets and Gronwall inequality. For the demonstration of theoretical results, we give examples and their numerical simulations.

Determination of the Burgers vector of a dislocation in a Fe-Mn alloy by weak-beam image in HVEM

1978 ◽  
Vol 36 (1) ◽  
pp. 330-331
Author(s):  
Y. Ishida ◽  
H. Ishida ◽  
K. Kohra ◽  
H. Ichinose
Keyword(s):  
High Order ◽  
Simulation Technique ◽  
The Other ◽  
Image Simulation ◽  
Diffraction Vector ◽  
Burgers Vector ◽  
Weak Beam ◽  
Beam Image ◽  
Edge Component

IntroductionA simple and accurate technique to determine the Burgers vector of a dislocation has become feasible with the advent of HVEM. The conventional image vanishing technique(1) using Bragg conditions with the diffraction vector perpendicular to the Burgers vector suffers from various drawbacks; The dislocation image appears even when the g.b = 0 criterion is satisfied, if the edge component of the dislocation is large. On the other hand, the image disappears for certain high order diffractions even when g.b ≠ 0. Furthermore, the determination of the magnitude of the Burgers vector is not easy with the criterion. Recent image simulation technique is free from the ambiguities but require too many parameters for the computation. The weak-beam “fringe counting” technique investigated in the present study is immune from the problems. Even the magnitude of the Burgers vector is determined from the number of the terminating thickness fringes at the exit of the dislocation in wedge shaped foil surfaces.

Problems of Marriage and Self Surrender in The Novels of Shashi Deshpande

2019 ◽  
Vol 7 (11) ◽  
pp. 18
Author(s):  
Dr. Indu Goyal
Keyword(s):  
Middle Class ◽  
The Other ◽  
Important Thing ◽  
Female Protagonists ◽  
Central Concern ◽  
Modern Age ◽  
The Family ◽  
Traditional Marriage ◽  
Shashi Deshpande ◽  
Middle Class People

Marriage is an important thing in the life of a woman. The importance that our society attaches to marriage is reflected in our literature and it is the central concern of Shashi Deshpade’s novels. In our society where girl learns early that she is ‘Paraya Dhan’, and she is her parents’ responsibility till the day she is handed over to her rightful owners. What a girl makes of her life, how she shapes herself as an individual, what profession she takes up is not as important as whom she marries. Marriage is the ultimate goal of a woman’s life. This paper attempts to probe into the problems of marriage through the protagonists of her novels where one enjoys the freedom of marriage and the other accepts the traditional marriage. Shashi Deshpade highlights the problems of marriage faced by middle-class people in finding suitable grooms for their daughters. This problem is well-illustrated through the characters of her novels. Since the girl’s mind over her childhood is tuned that she is another’s property, she tries to attach a lot of importance to it. it is indeed a tragedy that even in the modern age, Indian females echo the same sentiment where it was marriage which mattered most of them but not to the men. It is a beginning of females sacrifices in life that marriage brings to her. Shashi Deshpande encourages her female protagonists to rise in rebellion against the males in the family matters, instead she wants to build a harmonious relationship between man and woman in a mood of compromise and reconciliation.  

On Commutation Properties of the Composition Relation of Convergent and Divergent Permutations (Part I)

2014 ◽  
Vol 58 (1) ◽  
pp. 13-22
Author(s):  
Roman Wituła ◽  
Edyta Hetmaniok ◽  
Damian Słota
Keyword(s):  
Finite Order ◽  
Convergent Series ◽  
The Other ◽  
Other Hand ◽  
The Family ◽  
Composition Relation ◽  
The Continuum

Abstract In the paper we present the selected properties of composition relation of the convergent and divergent permutations connected with commutation. We note that a permutation on ℕ is called the convergent permutation if for each convergent series ∑an of real terms, the p-rearranged series ∑ap(n) is also convergent. All the other permutations on ℕ are called the divergent permutations. We have proven, among others, that, for many permutations p on ℕ, the family of divergent permutations q on ℕ commuting with p possesses cardinality of the continuum. For example, the permutations p on ℕ having finite order possess this property. On the other hand, an example of a convergent permutation which commutes only with some convergent permutations is also presented.

Status of Family Fissidentaceae in Gujarat

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
D.G. Shah ◽  
D.N. Mehta ◽  
R.V. Gujar
Keyword(s):  
Distinct Species ◽  
The State ◽  
The Other ◽  
Land Plants ◽  
Reproductive Structures ◽  
The Family ◽  
The Status ◽  
Vegetative Characters ◽  
First Time ◽  
Different Parts

Bryophytes are the second largest group of land plants and are also known as the amphibians of the plant kingdom. 67 species of bryophytes have been reported from select locations across the state of Gujrat. The status of family fissidentaceae which is a large moss family is being presented in this paper. Globally the family consists of 10 genera but only one genus, Fissidens Hedw. has been collected from Gujarat. Fissidens is characterized by a unique leaf structure and shows the presence of three distinct lamina, the dorsal, the ventral and the vaginant lamina. A total of 8 species of Fissidens have been reported from the state based on vegetative characters as no sporophyte stages were collected earlier. Species reported from the neighboring states also showed the absence of sporophytes. The identification of different species was difficult due to substantial overlap in vegetative characters. Hence a detailed study on the diversity of members of Fissidentaceae in Gujarat was carried out between November 2013 and February 2015. In present study 8 distinct species of Fissidens have been collected from different parts of the state. Three species Fissidens splachnobryoides Broth., Fissidens zollingerii Mont. and Fissidens curvato-involutus Dixon. have been identified while the other five are still to be identified. Fissidens zollingerii Mont. and Fissidens xiphoides M. Fleisch., which have been reported as distinct species are actually synonyms according to TROPICOS database. The presence of sexual reproductive structures and sporophytes for several Fissidens species are also being reported for the first time from the state.

Women-Friendly Policies being adopted by Organizations: An Innovative aspect

2016 ◽  
Vol 3 (01) ◽  
Author(s):  
Shlesha Singh ◽  
Mrinalini Pandey
Keyword(s):  
Sexual Harassment ◽  
Glass Ceiling ◽  
Gender Stereotype ◽  
The Other ◽  
Family Responsibilities ◽  
Other Hand ◽  
The Family ◽  
Workplace Barriers ◽  
Women In The Workforce ◽  
And Gender

Organizations are these days realizing the importance of women in the workforce and to tap that talent, organizations are now-a-days putting extra efforts. Workplaces were designed keeping men in mind and which has been intercepting women from continuing the competitive jobs and career along with the family responsibilities. On the other hand, there are various workplace barriers which are adding to the other problems. Women face several barriers at the workplace like sexual harassment, glass ceiling and gender stereotype.

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