[PDF] Top 20 On the Rational Recursive Sequence xn+1=(α−βxn)/(γ−δxn−xn−k)
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On the Rational Recursive Sequence xn+1=(α−βxn)/(γ−δxn−xn−k)
... We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation x n1 α − βx n /γ − δx n − x n−k , n 0, 1, 2, . . . , k ∈ {1, 2, . . ... See full document
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On the Rational Recursive Sequence xn+1=(A+∑i=0kαixn−i)/(B+∑i=0kβixn−i)
... The main objective of this paper is to study the boundedness character, the periodic character, the convergence, and the global stability of the positive solutions of the difference equ[r] ... See full document
12
On the recursive sequence xn+1=−1/xn+A/xn−1
... Abstract. We investigate the periodic character of solutions of the nonlinear difference equation x n + 1 = − 1/x n + A/x n − 1 . We give sufficient conditions under which every positive solution of ... See full document
6
Solution and Behavior of a Rational Recursive Sequence of order Four
... Difference equations or discrete dynamical systems is diverse field which impact almost every branch of pure and applied mathematics . Every dynamical system a n + 1 = f a ( n ) determines a difference equation ... See full document
15
Stability problem of some nonlinear difference equations
... Our aim in this paper is to study the asymptotic stability of the rational recursive sequence 1.4 when p 2, see section 2.. On the basis of the results of section 2 we also investigate t[r] ... See full document
10
Dynamics of the Nonlinear Rational Difference Equation Xn+1 = AXn + BXn−k + (pXn+Xn−k) / (q+Xn-k)
... where F is a continuous function which maps some set J k+1 into J where J is a set of real numbers. An equilibrium point e x of this equation is a point that satisfies the condition e x = F ( e x , e x ). That is, ... See full document
15
Dynamics and behavior of a higher order rational recursive sequence
... 23. Elsayed, EM: A solution form of a class of rational difference equations. Int J Nonlinear Sci. 8(4), 402 – 411 (2009) 24. Elsayed, EM: Behavior of a rational recursive sequences. Studia Univ “ ... See full document
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On the Recursive Sequence
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 327649, 11 pages doi 10 1155/2009/327649 Research Article On the Recursive Sequence xn?1 ? A ? ?x p n?1/x q n? C[.] ... See full document
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On a (2,2) rational recursive sequence
... While unstable, our numerical investigations show that the fixed point y = (β − 1)/2 is a global attractor for a substantial set of initial conditions; a fact that unfortunately we cannot prove. Instead, we will ... See full document
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On the solutions of a rational recursive sequence
... + = − − + ， = ⋯ (1.1) where the initial conditions x − 2 , x − 1 , x 0 are arbitrary positive real numbers and , , , a b c d are positive constants. In particular, Cinar[17, 18] studied respectively the properties ... See full document
9
Iterative Recursive Attention Model for Interpretable Sequence Classification
... We test IRAM on two sentiment classification datasets. The first is the Stanford Sentiment Tree- bank (SST) (Socher et al., 2013), a dataset de- rived from movie reviews on Rotten Tomatoes and containing 11,855 sentences ... See full document
9
Two Eigenvector Theorems
... the recursion relation x i + 1 = A x i . these results will be useful in the context of exact determination of Eigenvectors of a matrix associated with a specific Eigenvalue when the minimal polynomial is known. ... See full document
6
Acceleration of nonhyperbolic sequences of Mann
... 3. Accelerating Mann’s sequences. In the presence of a nonhyperbolic fixed point x ∗ of a given iteration function g, it is possible to construct an accelerator for g using a suitable combination of g with another ... See full document
8
A note on asymptotic stability of delay difference systems
... y n+1 − y n = Q − 1 AQy n − k . (2.22) Note that the asymptotic stability of the zero solution of (1.1) is equivalent to that of (2.22). Therefore, by virtue of Lemma 2.6, we will show that the zero ... See full document
7
Survey on Different Level of Audio Watermarking Techniques
... The basic audio watermarking algorithm that we developed is a time domain spread spectrum algorithm. It embeds a SS- based watermark into uncompressed, raw audio by slightly modifying the values of samples of the host ... See full document
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MaskParse@Deskin at SemEval 2019 Task 1: Cross lingual UCCA Semantic Parsing using Recursive Masked Sequence Tagging
... We introduce an original masking mechanism in order to feed information about the previous pars- ing stages into the model. During parsing, we first do an initial inference step to extract the main scenes and links. ... See full document
6
Some Properties of Fibonacci Numbers
... Fibonacci numbers are well known for some of its interesting properties [1]. Golden ratio is one of the amazing property. Fibonacci numbers and Golden ratio have applications in physics, astrophysics, biology, ... See full document
8
Stability of N-extremal measures
... This mistake remained unnoticed for a long time; it was even reproduced in [1, Ch. 4, Addenda and Problems, Corollary 2]. The first person who noticed that Hamburger’s proof is incomplete was H. Pedersen in 1989. ... See full document
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On the difference equation \(x {n+1}=ax {n l}+bx {n k}+f ( x {n l},x {n k} )\)
... For the basic definitions and auxiliary lemmas we use for establishing our results, namely equilibrium points, local stability, and periodicity of the solutions, we refer the reader to [1, 9, 17, 18]. For the ... See full document
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Dynamics of difference equation \(x {n+1}=f( x {n l},x {n k})\)
... where l, k and α are positive integers , a > –1 and 0 ≤ k < l. In [33], Stevic investigated the behavior of the positive solutions of the difference equation (1.1) when a and α are positive real numbers, l = ... See full document
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