STUDY OF A TWO-DIMENSIONAL ENDOMORPHISM BY USE OF THE PARAMETRIC SINGULARITIES-Reference-Cited by-同舟云学术

STUDY OF A TWO-DIMENSIONAL ENDOMORPHISM BY USE OF THE PARAMETRIC SINGULARITIES

Published:2000-12 Issue:12 Volume:10 Page:2853-2862
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CARCASSES JEAN-PIERRE¹,TAHA ABDEL-KADDOUS¹

Affiliation:

1. Groupe d'Etude des Systèmes Non Linéaires et Applications, L.E.S.I.A., D.G.E.I., I.N.S.A.T., Avenue de Rangueil, 31077 Toulouse cedex, France

Abstract

A two-dimensional cubic endomorphism depending on three parameters is considered. The qualitative changes of the bifurcation curves in a parameter plane are studied when the third parameter varies. More particularly, the crossing through a "saddle-node" singularity of the parameter plane is analytically analyzed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127400001900

Reference8 articles.

1. “CROSSROAD AREA- DISSYMMETRICAL SPRING AREA — SYMMETRICAL SPRING AREA,” AND “DOUBLE CROSSROAD AREA — DOUBLE SPRING AREA” TRANSITIONS

2. "CROSSROAD AREA–SPRING AREA" TRANSITION (I) PARAMETER PLANE REPRESENTATION

3. DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAP

4. A new kind of parametric singularities and their use for the study of the bifurcation structure of an n-dimensional map

5. EXISTENCE OF A CUSP POINT ON A FOLD BIFURCATION CURVE AND STABILITY OF THE ASSOCIATED FIXED POINT: CASE OF AN n-DIMENSIONAL MAP

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