Control of Chaos to Obtain Periodic Behaviour via Nonlinear ControlProceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 85 Số 1 - Trang 143-148 - 2015
Khan, Mohammad Ali, Sahoo, Banshidhar, Mondal, Arun Kumar
In this paper, we propose a scheme for controlling chaotic Lorenz like system to a periodic system via nonlinear control. Our method is based on Lyapunov stability theory. We have presented the numerical simulation results to show the efficiency of our method.
Marangoni Convection in a Relatively Hotter or Cooler Liquid LayerProceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 82 - Trang 103-106 - 2012
A. K. Gupta, R. G. Shandil
The onset of cellular convection induced by surface tension gradients on a thin layer of liquid as developed by Pearson (J Fluid Mech 4: 489–500, 1958[6]) is examined in the extended framework of Banerjee et al. (J Math Phys Sci 17: 603–629, 1983[11]). Numerical results are obtained for both the thermally conducting and insulating cases of the lower boundary surface. It is found that irrespective ...... hiện toàn bộ
Conventional and Microwave Induced Synthesis of 4-Oxo-Thiazolidine Derivatives and Their Biological ActivitiesProceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 82 - Trang 211-219 - 2012
Ritu Sharma, Pushkal Samadhiya, Savitri D. Srivastava, Santosh K. Srivastava
An efficient route for the synthesis of new series of N
1-[2-{2-(substituted phenyl)-4-oxo-5-(substituted benzylidene)-1,3-thiazolidine}-iminoethyl]-1,2,3-benzotriazoles 5a–5j has been developed. The cycloaddition reaction of thioglycolic acid with N
1-{2-(substituted benzylidenehydrazino)-ethyl}-1,2,3-benzotriazoles 3a–3j in the presence of anhydrous ZnCl2 afforded...... hiện toàn bộ
Approximation by Integral form of Jain and Pethe OperatorsProceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 92 - Trang 31-38 - 2020
Naokant Deo, Ram Pratap
In this paper, we consider the integral form of Jain and Pethe operators associated with the Baskakov operators and study some basic properties. We estimate the rate of convergence, Voronovskaja-type asymptotic estimate formula and weighted approximation of these operators.
An Educational Study of Electromagnetic Phenomena on Ferromagnetic Structure Using a Software EnvironmentProceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 94 - Trang 37-45 - 2023
Necibe Fusun Oyman Serteller
The solution to electromagnetic problems relies on complex numerical differential equations that are difficult to understand. Therefore, it is crucial to analyze them step by step and visualize them in a computer environment, even by developing a program. This approach enhances understanding of the subject and facilitates further research. In this study, an electromagnetic phenomenon is examined o...... hiện toàn bộ
Smarandache-Alpha Fuzzy Normal Subsemigroups in Smarandache-Alpha Fuzzy SemigroupsProceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 90 - Trang 777-781 - 2019
R. Gowri, T. Rajeswari
The notion of S-
$$\alpha $$
fuzzy cosets with representative
$$x_{t}$$
and S-
$$\alpha $$
fuzzy normal subsemigroups are introduced, and some equivalent conditions are given. It is also proved that the set of all S-
$$\alpha $$
fuzzy cosets will form a semigroup under a suitable binary operation and its structure properties are determined.
A necessary and sufficient condition for an S-
$...... hiện toàn bộ
Approximate Solution of Two-Point Boundary Value Problems Using Adomian Decomposition Method with Green’s FunctionProceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 85 - Trang 51-61 - 2014
Randhir Singh, Gnaneshwar Nelakanti, Jitendra Kumar
In this paper, a new recursive scheme for solving Bratu’s type two-point boundary value problems is proposed. The recursive scheme is based on constructing Green’s function before establishing the recursive scheme for the solution components. Unlike Adomian decomposition method, this technique avoids solving a sequence of transcendental equations for the unknown constants. Approximations of the so...... hiện toàn bộ