INTEGRAL CURVES OF A LINEAR VECTOR FIELD IN SEMI-EUCLIDEAN SPACES


Turhan T. , Ayyildiz N.

DYNAMIC SYSTEMS AND APPLICATIONS, cilt.24, sa.3, ss.361-374, 2015 (SCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Konu: 3
  • Basım Tarihi: 2015
  • Dergi Adı: DYNAMIC SYSTEMS AND APPLICATIONS
  • Sayfa Sayıları: ss.361-374

Özet

In this paper, we study integral curves or flow lines of a linear vector field in (2n+1)-dimensional semi-Euclidean space E-v(2n+1). The skew symmetric matrix has been found depending on the number of timelike vectors are odd or even. Taking into consideration of the structure, we obtained the linear first order system of differential equations. This system gives rise to integral curves of linear vector fields. Meanwhile solution of the system has also been presented and discussed. Keywords. Integral curve, linear vector field, semi-Euclidean space, skew-symmetric matrix.