Schwartzian derivative for multidimensional maps and flows

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...

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Veröffentlicht in:	Sbornik. Mathematics 1999-02, Vol.190 (1)
1. Verfasser:	Sataev, E A
Format:	Artikel
Sprache:	eng
Schlagworte:	CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFUSION MATHEMATICAL SOLUTIONS PARTIAL DIFFERENTIAL EQUATIONS PERIODICITY
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container_title	Sbornik. Mathematics
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creator	Sataev, E A
description	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.
doi_str_mv	10.1070/SM1999V190N01ABEH000380;COUNTRYOFINPUT:INTERNATIONALATOMICENERGYAGENCY(IAEA)
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source	IOP Publishing Journals; Alma/SFX Local Collection
subjects	CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFUSION MATHEMATICAL SOLUTIONS PARTIAL DIFFERENTIAL EQUATIONS PERIODICITY
title	Schwartzian derivative for multidimensional maps and flows
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