Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Kondalsamy Gopalsamy"'
Publikováno v:
Applied Mathematics. :1715-1744
The dynamics of a fractionalized semi-linear scalar differential equation is considered with a Caputo fractional derivative. By using a symbolic operational method, a fractional order initial value problem is converted into an equivalent Volterra int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1502a4f80ed300cfe14c4d0bee64c6f3
https://doi.org/10.4236/am.2017.811124
https://doi.org/10.4236/am.2017.811124
Autor:
Pingzhou Liu, Kondalsamy Gopalsamy
Publikováno v:
New Developments in Difference Equations and Applications ISBN: 9780203745854
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb8fbfddcf9f5cc27886cc15d70d03b3
https://doi.org/10.4324/9780203745854-14
https://doi.org/10.4324/9780203745854-14
Autor:
Kondalsamy Gopalsamy, Sannay Mohamad
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 14:27-50
This paper demonstrates the reliability of a discrete-time analogue in preserving the exponential convergence of a bidirectional associative memory (BAM) network that is subject to nonlinear impulses. The analogue derived from a semi-discretisation t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4cbdf88403c9aae627dc5afce4e1248
https://doi.org/10.1016/j.cnsns.2007.08.004
https://doi.org/10.1016/j.cnsns.2007.08.004
Publikováno v:
Nonlinear Analysis: Real World Applications. 9:872-888
This paper illustrates that there is a globally exponentially stable unique equilibrium state in an artificial neural network that is subject to delays distributed over unbounded intervals, and also to large impulses that are not too frequent. The ac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::084d3884dd1a9c14aed27810c15dc4b3
https://doi.org/10.1016/j.nonrwa.2007.01.011
https://doi.org/10.1016/j.nonrwa.2007.01.011
Autor:
Kondalsamy Gopalsamy, Sannay Mohamad
Publikováno v:
Computers & Mathematics with Applications. 55:2043-2063
This paper is concerned with the stability preservation in computer simulations of an impulsive bidirectional associative memory (BAM) network. The simulations are provided by difference equations formulated from a semi-discretisation technique and i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c7b5b1434382c1404eaef5f8eaa6cad
https://doi.org/10.1016/j.camwa.2007.08.047
https://doi.org/10.1016/j.camwa.2007.08.047
Autor:
Kondalsamy Gopalsamy
Publikováno v:
Nonlinear Analysis: Real World Applications. 8:688-698
A model of a second order neural network incorporating a weight adjusting learning component and time delays in processing and transmission is formulated. Delay-independent sufficient conditions are derived for the existence of an asymptotically and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6a2eeb5df7868568e86f02969e8ce9e
https://doi.org/10.1016/j.nonrwa.2006.02.007
https://doi.org/10.1016/j.nonrwa.2006.02.007
Autor:
Pingzhou Liu, Kondalsamy Gopalsamy
Publikováno v:
Nonlinear Analysis: Real World Applications. 8:375-398
A mathematical model of a single isolated artificial neuron with hysterisis is formulated by means of a neutral delay differential equation. The asymptotic and exponential stability of such a model are investigated. Sufficient conditions for the expo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad9c5621984dd46ddb6bd7429309f6d1
https://doi.org/10.1016/j.nonrwa.2005.11.010
https://doi.org/10.1016/j.nonrwa.2005.11.010
Autor:
Kondalsamy Gopalsamy
Publikováno v:
Applied Mathematics and Computation. 154:783-813
Sufficient conditions are obtained for the existence and asymptotic stability of a unique equilibrium of a Hopfield-type neural network with Lipschitzian activation functions without assuming their boundedness, monotonicity or differentiability and s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9e02c0860e281d4b2377056c8ff875a
https://doi.org/10.1016/s0096-3003(03)00750-1
https://doi.org/10.1016/s0096-3003(03)00750-1
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 182:143-159
The dynamical characteristics of scalar difference equations of the form¶xn+1=f1(xn−τ1)+f2(xn−τ2), n=0,1,2,...,¶are investigated. A necessary and sufficient condition is obtained for all positive solutions to be oscillatory about a unique pos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ead0bdbbc3f82a96a7a48b5abb26317
https://doi.org/10.1007/s10231-002-0058-9
https://doi.org/10.1007/s10231-002-0058-9
Autor:
Sannay Mohamad, Kondalsamy Gopalsamy
Publikováno v:
Applied Mathematics and Computation. 135:17-38
Convergence characteristics of continuous-time cellular neural networks with discrete delays are studied. By using Lyapunov functionals, we obtain delay independent sufficient conditions for the networks to converge exponentially toward the equilibri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6669ff47df1b766aa9228dfe2d04bb4
https://doi.org/10.1016/s0096-3003(01)00299-5
https://doi.org/10.1016/s0096-3003(01)00299-5