Schwartzian derivative for multidimensional maps and flows
Journal Article
·
· Sbornik. Mathematics
- Obninsk State Technical University for Nuclear Power Engineering, Obninsk, Kaluga Region (Russian Federation)
A generalization of Schwartzian derivative to maps and flows in the space R{sup n} and in infinite-dimensional spaces is introduced. It is used to study the type of stability loss (soft or hard) for fixed points and periodic trajectories of diffeo-morphisms and flows. In particular, an example of a partial differential equation of reaction-diffusion type is presented for which the conditions of soft loss of stability of a spatially homogeneous solution are verified.
- OSTI ID:
- 21202844
- Journal Information:
- Sbornik. Mathematics, Vol. 190, Issue 1; Other Information: DOI: 10.1070/SM1999v190n01ABEH000380; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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