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ENERGY AND VOLUME OF VECTOR FIELDS ON SPHERICAL DOMAINS
(PACIFIC JOURNAL MATHEMATICSBERKELEY, 2012)
We present a "boundary version" for theorems about minimality of volume and energy functionals on a spherical domain of an odd-dimensional Euclidean sphere.
Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
(Siam Publications, 2009-01-01)
In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems theory around typical singularities. We also establish an interaction between nonsmooth systems and geometric singular ...
On rotating vectors, Jacobi elliptic functions and free vibration of the Duffing oscillator
(2020-11-01)
The free vibration displacement of an undamped hardening Duffing oscillator is described in exact form by a Jacobi elliptic function. Unlike an undamped linear oscillator, whose displacement is described by a trigonometric ...
ON THE SIMILARITY OF HAMILTONIAN AND REVERSIBLE VECTOR FIELDS IN 4D
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)
Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator
(Elsevier B.V., 2011-07-04)
Some properties of minimal and nonminimal vector interactions in the Duffin-Kemmer-Petiau (DKP) formalism are discussed. The conservation of the total angular momentum for spherically symmetric nonminimal potentials is ...
Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
(2021-07-01)
The main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by ...
Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
(2020-04-01)
We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov ...
Solucao de sistemas lineares com matrizes e vetores esparsos em computadores vetoriais
(1997-09-01)
This paper presents a methodology for solving a set of linear sparse equations on vector computers. The new methodology is able to exploit the matrix and vector sparsities. The implementation was made on a CRAY Y-MP 2E/232 ...