THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES (SV) OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (4): 353-358.

THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES (SV) OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER

是长春, 黄永念, 叶弋, 江涛

Department of Mechanics, Peking University, Beijing

收稿日期:1992-11-04 出版日期:1994-04-18 发布日期:1994-04-18
基金资助:
Project supported by the National Basic Research (Nonlinear Science) Foundation of China

THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES (SV) OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER

Shi Chang-chun, Huang Yong-nian, Ye Yi, Jiang Tao

Department of Mechanics, Peking University, Beijing

Received:1992-11-04 Online:1994-04-18 Published:1994-04-18
Supported by:
Project supported by the National Basic Research (Nonlinear Science) Foundation of China

摘要/Abstract

摘要： The general properties of the spherical vortices(SV)of n-th order are discussedin this paper Numerical calculations are carried out in the case of n=3.We find outsome interesting phenomena concerning the chaotic regions and ordered islands on the Poincare sections. Interpretations of these phenomena are also given.

关键词: nonlinear dynamic system, bifurcation, stability, Beltrami flow, spherical vortex, general properties, Poincare sec-tion, chaotic trajectory, ordered island, numerical calculation

Abstract: The general properties of the spherical vortices(SV)of n-th order are discussedin this paper Numerical calculations are carried out in the case of n=3.We find outsome interesting phenomena concerning the chaotic regions and ordered islands on the Poincare sections. Interpretations of these phenomena are also given.

Key words: nonlinear dynamic system, bifurcation, stability, Beltrami flow, spherical vortex, general properties, Poincare sec-tion, chaotic trajectory, ordered island, numerical calculation

是长春;黄永念;叶弋;江涛. THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES (SV) OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(4): 353-358.

Shi Chang-chun;Huang Yong-nian;Ye Yi;Jiang Tao. THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES (SV) OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(4): 353-358.

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THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES (SV) OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER

THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES (SV) OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER

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