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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
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