Results 21 to 30 of about 605,265 (316)
A computational group theoretic symmetry reduction package for the SPIN model checker [PDF]
, 2006 Symmetry reduced model checking is hindered by two problems: how to identify state space symmetry when systems are not fully symmetric, and how to determine equivalence of states during search.
Miller, A +6 more
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A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System
Abstract and Applied Analysis, 2013 This paper studies the coupled inhomogeneous Lane-Emden system from the Lagrangian formulation point of view. The existence of multiple positive solutions has been discussed in the literature.
B. Muatjetjeja, C. M. Khalique
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Mathematics, 2020 In this article, we examine a (3+1)-dimensional generalized breaking soliton equation which is highly applicable in the fields of engineering and nonlinear sciences.
Chaudry Masood Khalique +1 more
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Detection of symmetry and anti-symmetry
Vision Research, 2005 To assess the role of second-order channels in symmetry perception we measured the effects of check size, spatial frequency content, eccentricity and grey scale range on the detection of symmetrical and anti-symmetrical patterns. Thresholds for symmetrical stimuli were only moderately affected by these manipulations.
Mancini, Sandra +2 more
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On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
Partial Differential Equations in Applied Mathematics, 2021 In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators
Karabo Plaatjie, Chaudry Masood Khalique
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Journal of Ocean Engineering and Science, 2023 This paper presents analytical studies carried out explicitly on a higher-dimensional generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity arising in engineering and nonlinear science.
Chaudry Masood Khalique +1 more
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Symmetry impedes symmetry discrimination
Journal of Vision, 2005 Objects in the world, natural and artificial alike, are often bilaterally symmetric. The visual system is likely to take advantage of this regularity to encode shapes for efficient object recognition. The nature of encoding a symmetric shape, and of encoding any departure from it, is therefore an important matter in visual perception. We addressed this
Tjan, B., Liu, Z.
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New Exact Solutions for a Generalized Double Sinh-Gordon Equation
Abstract and Applied Analysis, 2013 We study a generalized double sinh-Gordon equation, which has applications in various fields, such as fluid dynamics, integrable quantum field theory, and kink dynamics. We employ the Exp-function method to obtain new exact solutions for this generalized
Gabriel Magalakwe +1 more
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Partial Differential Equations in Applied Mathematics, 2021 This paper analytically investigates a new (2+1)-dimensional extended shallow water wave equation. Lie group theory along with direct integration is used to achieve some solutions of the equation.
Oke Davies Adeyemo +1 more
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Physical Review Letters, 2020 The low-lying spectra of atomic nuclei display diverse behaviors, for example rotational bands, which can be described phenomenologically by simple symmetry groups such as spatial SU(3). This leads to the idea of dynamical symmetry, where the Hamiltonian commutes with the Casimir operator(s) of a group, and is block-diagonal in subspaces defined by the
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