A structured matrix problem in dynamical systems
β Scribed by Alison Ramage
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 556 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0168-9274
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π SIMILAR VOLUMES
We present methods for establishing the full non-linear stabilty of solutions of lattice dynamical systems. We apply these results to establish the existence of a "chaos-order" phase transition in a particular coupled map lattice model for which space time chaos in the small coupling regime had been
The new idea is to study the stability behavior of the solution x = x(t) of the initial value problem αΊ = Ax, t t 0 , x(t 0 ) = x 0 , with A β C nΓn , in a weighted (semi-) norm β’ R where R is taken as an appropriate solution of the matrix eigenvalue problem RA + A \* R = R, rather than as the solut