Development of stochastic webs in a wave-driven linear oscillator
type: Item
instance of: scholarly article
title: Development of stochastic webs in a wave-driven linear oscillator
zbMATH Open document ID: 0653.70026
DOI: 10.1016/0167-2789(88)90055-3
author: Sadayoshi Murakami
author: Tetsuya Sato
author: Akira Hasegawa
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: We present developments of stochastic webs in a linear oscillator which is driven by a finite number (N) of external waves with frequency \(\omega_ 0\) (harmonic of the linear oscillator frequency). The expansion of the stochastic domain as functions of the number of waves and their amplitudes is studied numerically. The results with small amplitude waves compares well with the perturbation theory. When the amplitude of external waves is small a leaf structure which expands with N develops radially in the phase space.
Mathematics Subject Classification ID: 70L05
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 60H99
zbMATH DE Number: 4066439
zbMATH Keywords: developments of stochastic webs
zbMATH Keywords: a linear oscillator
zbMATH Keywords: expansion of the stochastic domain
zbMATH Keywords: amplitude of external waves
zbMATH Keywords: phase space
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90055-3
OpenAlex ID: W2019264507
cites work: Minimal chaos and stochastic webs
cites work: Regular and stochastic motion
description: scientific article; zbMATH DE number 4066439