Integrability and Global Dynamics of Two Chaotic Systems

被引：2

作者：

Hussein, Sarbast ^{[1
]}

Amen, Azad Ibrahim ^{[2
,3
,4
]}

机构：

[1] Soran Univ, Fac Sci, Dept Math, Soran 44008, Kurdistan, Iraq

[2] Salahaddin Univ, Coll Basic Educ, Dept Math, Erbil 44001, Kurdistan, Iraq

[3] Raparin Univ, Basic Educ Coll, Dept Math, Ranya 46012, Kurdistan, Iraq

[4] Duhok Univ, Coll Sci, Dept Math, Duhok 42001, Kurdistan, Iraq

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2023年 / 33卷 / 14期

关键词：

Coullet system; Malasoma system; Darboux first integral; analytic first integral; invariant algebraic surface; exponential factor; Poincare compactification; dynamics at infinity; JERK; ATTRACTORS;

D O I：

10.1142/S0218127423501699

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, integrability and the global dynamics of two chaotic systems, Coullet and Malasoma systems, are studied. We mainly use the contradiction technique to show that both systems have no polynomial, Darboux and rational first integrals. Moreover, it is proved that the Cullet system has no analytic first integrals if some conditions on the parameters are satisfied. We also give a complete description of the dynamics at infinity by Poincare compactification technique for both aforementioned systems.

引用

页数：17

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