Instability conditions for a non-linear discrete system in the critical case of two unit roots
โ Scribed by A. Kh. Gelig; A.N. Churilov
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 135 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
A class of non-linear discrete second-order systems is considered in the critical case when two roots of the characteristic polynomial of the linearized system are equal to unity. Sufficient conditions for the instability of the equilibrium are obtained.
๐ SIMILAR VOLUMES
The problem of the motion of an autonomous two-degree-of-freedom Hamiltonian system in the neighbourhood of its equilibrium position is considered. It is assumed that the characteristic equation of the linearized system has a pair of pure imaginary roots. The roots of the other pair are assumed to b
In this paper we consider a system of heat equations ut = Au, v, = Av in an unbounded domain R c RN coupled through the Neumann boundary conditions u, = up, v, = up, where p > 0, q > 0, p q > 1 and v is the exterior unit normal on aR. It is shown that for several types of domain there exists a criti