Results 21 to 30 of about 91,361 (227)

Geometry and integrability of quadratic systems with invariant hyperbolas

Electronic Journal of Qualitative Theory of Differential Equations, 2021
Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability.
Regilene Oliveira, Dana Schlomiuk, Ana Maria Travaglini   +2 more
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The forward kinematics of doubly-planar Gough-Stewart platforms and the position analysis of strips of tetrahedra [PDF]

, 2018
The final publication is available at link.springer.comA strip of tetrahedra is a tetrahedron-tetrahedron truss where any tetrahedron has two neighbors except those in the extremes which have only one.
C Wampler, F Thomas, JM Porta, ML Husty, Nicolás Rojas, P Dietmaier   +5 more
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Classical planar algebraic curves realizable by quadratic polynomial differential systems [PDF]

, 2017
In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential systems.The author is ...
García, I. A. (Isaac A.), Llibre, Jaume
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Rigid Polynomial Differential Systems with Homogeneous Nonlinearities

Mathematics
Planar differential systems whose angular velocity is constant are called rigid or uniform differential systems. The first rigid system goes back to the pendulum clock of Christiaan Huygens in 1656; since then, the interest for the rigid systems has been
Jaume Llibre
doaj   +1 more source

Coefficients of algebraic functions: formulae and asymptotics [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
This paper studies the coefficients of algebraic functions. First, we recall the too-little-known fact that these coefficients $f_n$ have a closed form. Then, we study their asymptotics, known to be of the type $f_n \sim C A^n n^{\alpha}$.
Cyril Banderier, Michael Drmota
doaj   +1 more source

Recognizing and Drawing IC-planar Graphs

, 2015
IC-planar graphs are those graphs that admit a drawing where no two crossed edges share an end-vertex and each edge is crossed at most once. They are a proper subfamily of the 1-planar graphs.
C Auer, C Auer, C Binucci, C Thomassen, D Král, E Ackerman, E Giacomo Di, E Giacomo Di, E Giacomo Di, EN Argyriou, FJ Brandenburg, H Fraysseix de, J Fox, J Pach, M Chrobak, MA Bekos, MJ Alam, MR Garey, O Cheong, OV Borodin, P Eades, S Hong, S-H Hong, VP Korzhik, W Didimo, W Didimo, X Zhang, X Zhang   +27 more
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Approximating the partition function of planar two-state spin systems

, 2014
We consider the problem of approximating the partition function of the hard-core model on planar graphs of degree at most 4. We show that when the activity lambda is sufficiently large, there is no fully polynomial randomised approximation scheme for ...
Goldberg, Leslie Ann, Jerrum, Mark, McQuillan, Colin   +2 more
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Relative Equilibria in the Four-Vortex Problem with Two Pairs of Equal Vorticities [PDF]

, 2012
We examine in detail the relative equilibria in the four-vortex problem where two pairs of vortices have equal strength, that is, \Gamma_1 = \Gamma_2 = 1 and \Gamma_3 = \Gamma_4 = m where m is a nonzero real parameter.
A. Albouy, A. Albouy, A. Albouy, A. Albouy, C. Chen, D. Schmidt, D.A. Cox, E. Perez-Chavela, F.R. Moulton, G. Cardano, G. Kirchhoff, G.E. Roberts, Gareth E. Roberts, H. Aref, H. Aref, H. Aref, J. Bochnak, J. Palmore, J.F. Barros, J.M. Cors, J.V. Uspensky, K. Meyer, K.A. O’Neil, K.R. Meyer, Lord Kelvin, M. Hampton, M. Hampton, Manuele Santoprete, Marshall Hampton, O. Dziobek, P.K. Newton, P.K. Newton, S. Spang, Y. Chen   +33 more
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Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System

Fractal and Fractional
This article investigates the qualitative analysis and traveling wave solutions of a (3 + 1)-dimensional generalized nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt system.
Zhao Li, Ejaz Hussain
doaj   +1 more source

The general Li\'enard polynomial system [PDF]

, 2012
In this paper, applying a canonical system with field rotation parameters and using geometric properties of the spirals filling the interior and exterior domains of limit cycles, we solve first the problem on the maximum number of limit cycles ...
Gaiko, Valery A.
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