integral curves

integral curves

[′int·ə·grəl ′kərvz]
(mathematics)
A family of curves that satisfy a particular differential equation.
References in periodicals archive ?
Observe that the integral curves of the system do not depend on [eta], so without loss of generality we may assume that [eta] = 1.
Several authors studied the integral curves by using matrix of a linear vector field in Euclidean and 3-dimensional Lorentz-Minkowski spaces.
Sometimes, M is a union of family of subsets (a plane as union of straight lines, an integral manifold of a Pfaff equation as union of integral curves, and so on.
Key words: roughnes of the cut surface, differential equation, integral curves
Paper topics include studies of a singularly perturbed Riccati equation, asymptotic differential algebra, non- oscillating integral curves and o-minimal structures, topological construction of transseries and an introduction of generalized Borel summability, higher-order norms for the Moivre-Laplace theorem, matching the similarities of canard values, and generalizing surreal numbers.
Our complete line of floors offers a wide variety of options, including performance characteristics, thickness, integral curves, color and texture.
2] between limits 0 and T (s) ds over all integral curves g(t), satisfying the prescribed boundary con ditions g(0) = [g.
Yanagawa, A characterization of integral curves with Gorenstein hyperplane sections, Proc.
From this theorem it follows that the notions of extremum constrained by integral manifolds and extremum constrained by integral curves are equivalent.
j] the derivatives are continuous functions on the domain D for every j [member of] {1,2}, than the one and only one integral curves [?
These maxima correspond to the plateaux on the integral curves of strength distribution (Fig.
t], and that integral curves of the vector field [nabla]t are straight lines.