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Instability of weakly nonlinear chaotic structures

Technical Report:

Abstract

A linear oscillator driven by periodic perturbation is considered. The infinite connected chaotic structures in phase plane emerge when the perturbation is of the form of the periodic {delta}-function and the exact resonance condition is fulfilled. These structures are shown to be unstable and completely destroyed if the duration of the perturbation kick is arbitrarily short but finite. 7 refs., 3 figs.
Authors:
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
BUDKERINP-94-53; IYaF-94-53.
Reference Number:
SCA: 661300; PA: AIX-26:012316; EDB-95:032022; SN: 95001324703
Resource Relation:
Other Information: PBD: 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HARMONIC OSCILLATORS; INSTABILITY; COMPUTERIZED SIMULATION; EQUATIONS OF MOTION; HAMILTONIANS; MAGNETIC FIELDS; NONLINEAR PROBLEMS; PERTURBATION THEORY; WAVE PACKETS; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10112433
Research Organizations:
AN SSSR, Novosibirsk (Russian Federation). Inst. Yadernoj Fiziki
Country of Origin:
Russian Federation
Language:
English
Other Identifying Numbers:
Other: ON: DE95613441; TRN: RU9405196012316
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Vecheslavov, V V. Instability of weakly nonlinear chaotic structures. Russian Federation: N. p., 1994. Web.
Vecheslavov, V V. Instability of weakly nonlinear chaotic structures. Russian Federation.
Vecheslavov, V V. 1994. "Instability of weakly nonlinear chaotic structures." Russian Federation.
@misc{etde_10112433,
title = {Instability of weakly nonlinear chaotic structures}
author = {Vecheslavov, V V}
abstractNote = {A linear oscillator driven by periodic perturbation is considered. The infinite connected chaotic structures in phase plane emerge when the perturbation is of the form of the periodic {delta}-function and the exact resonance condition is fulfilled. These structures are shown to be unstable and completely destroyed if the duration of the perturbation kick is arbitrarily short but finite. 7 refs., 3 figs.}
place = {Russian Federation}
year = {1994}
month = {Dec}
}