נגישות
menu      
חיפוש מתקדם
תחביר
חפש...
הספר "אוצר וולקני"
אודות
תנאי שימוש
ניהול
קהילה:
אסיף מאגר המחקר החקלאי
פותח על ידי קלירמאש פתרונות בע"מ -
Non-local decomposition of vector fields
Year:
2002
Source of publication :
Chaos, Solitons and Fractals
Authors :
פרסנוב, יבגני
;
.
Volume :
14
Co-Authors:
Presnov, E., Besor Experiment Station, Volcani Center, 85400, Israel
Facilitators :
From page:
759
To page:
764
(
Total pages:
6
)
Abstract:
We construct a decomposition of a vector field as a sum of a gradient field and a complementary vector field satisfying some orthogonality condition. The aim of this decomposition is to distinguish between the conservative and the circulative components of the vector field. Complex behavior of dynamical system could be uniquely represented as a composition of a spherical oscillation and a gradient flow. This approach is closely related to a statistical investigation of dynamical systems. We introduce a synchronization index that allows one to investigate internal links for chaotic dynamical system. In numerical experiments we illustrate applications of this approach to some particular dynamical systems with strange attractors. © 2002 Elsevier Science Ltd. All rights reserved.
Note:
Related Files :
Chaos theory
Chaotic dynamical systems
Ordinary differential equations
Oscillations
Synchronization
Theorem proving
Vectors
עוד תגיות
תוכן קשור
More details
DOI :
10.1016/S0960-0779(02)00023-1
Article number:
Affiliations:
Database:
סקופוס
Publication Type:
מאמר
;
.
Language:
אנגלית
Editors' remarks:
ID:
31655
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 01:04
Scientific Publication
Non-local decomposition of vector fields
14
Presnov, E., Besor Experiment Station, Volcani Center, 85400, Israel
Non-local decomposition of vector fields
We construct a decomposition of a vector field as a sum of a gradient field and a complementary vector field satisfying some orthogonality condition. The aim of this decomposition is to distinguish between the conservative and the circulative components of the vector field. Complex behavior of dynamical system could be uniquely represented as a composition of a spherical oscillation and a gradient flow. This approach is closely related to a statistical investigation of dynamical systems. We introduce a synchronization index that allows one to investigate internal links for chaotic dynamical system. In numerical experiments we illustrate applications of this approach to some particular dynamical systems with strange attractors. © 2002 Elsevier Science Ltd. All rights reserved.
Scientific Publication
You may also be interested in