Article information

2003 , Volume 8, ¹ 6, p.60-69

Medvedev S.B.

Normal form for gradient systems with skew-symmetric structure matrix

Gradient systems with a skew-symmetric structure matrix and positive quadratic characteristic function are considered. An algorithm for the construction of a normal form is suggested. The algorithm takes into account a specific structure of these systems. In comparison with the Poincare normal form, the main advantage of the considered normal forms is the conservation of a characteristic function for an arbitrary truncation of this normal form. Ion-acoustic waves in a strong magnetic field are considered as an example.

[full text] Classificator Msc2000:
*35A22 Transform methods (e.g. integral transforms)
35A30 Geometric theory, characteristics, transformations
35F20 General theory of nonlinear first-order PDE
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction

Keywords: gradient system, Poincare normal form, non-resonance monomial, skew-symmetric gradient system, skew-symmetric normal form

Author(s):
Medvedev Sergey Borisovich
Dr.
Position: Leading research officer
Office: Inctitute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentyev ave., 6
Phone Office: (383) 330-73-73
E-mail: serbormed@gmail.com
SPIN-code: 2140-1726


Bibliography link:
Medvedev S.B. Normal form for gradient systems with skew-symmetric structure matrix // Computational technologies. 2003. V. 8. ¹ 6. P. 60-69
Home| Scope| Editorial Board| Content| Search| Subscription| Rules| Contacts
ISSN 1560-7534
© 2024 FRC ICT