scholarly journals Minimal sets in monotone and concave skew-product semiflows II: Two-dimensional systems of differential equations

2012 ◽  
Vol 252 (5) ◽  
pp. 3575-3607 ◽  
Author(s):  
Carmen Núñez ◽  
Rafael Obaya ◽  
Ana M. Sanz
Keyword(s):  
Differential Equations ◽  
Two Dimensional ◽  
Skew Product ◽  
Minimal Sets ◽  
Systems Of Differential Equations

SUFFICIENT CONDITIONS FOR A CENTER AT A COMPLETELY DEGENERATE CRITICAL POINT

2002 ◽  
Vol 12 (07) ◽  
pp. 1659-1666 ◽  
Author(s):  
J. GINÉ
Keyword(s):  
Differential Equations ◽  
Critical Point ◽  
Autonomous Systems ◽  
Sufficient Conditions ◽  
Two Dimensional ◽  
Homogeneous Polynomials ◽  
Systems Of Differential Equations ◽  
Degenerate Critical Point

Consider the two-dimensional autonomous systems of differential equations of the form [Formula: see text] where P3(x, y) and Q3(x, y) are homogeneous polynomials of degree 3, and P4(x, y) and Q4(x, y) are homogeneous polynomials of degree 4. The origin is a completely degenerate critical point of this system. In this work we give sufficient conditions in order to have a center at the origin.

ON STABILIZATION OF DIFFERENTIAL SYSTEMS WITH HYBRID FEEDBACK CONTROL

2018 ◽  
pp. 331-352
Author(s):  
Maria Salom´e Manuelevna Alves ◽  
Manuel Joaquim Alves
Keyword(s):  
Feedback Control ◽  
Differential Equations ◽  
Hybrid Control ◽  
Two Dimensional ◽  
Controlled System ◽  
Differential Systems ◽  
Systems Of Differential Equations

In this paper two-dimensional systems of differential equations are considered together with their stabilization by a hybrid feedback control. A stabilizing hybrid control for an arbitrary controlled system that belongs to a certain category within two-dimensional systems is constructed as a result of this study and some stabilization proprieties of the system with the obtained hybrid control are presented.

Isochronous Foci for Analytic Differential Systems

2003 ◽  
Vol 13 (06) ◽  
pp. 1617-1623 ◽  
Author(s):  
Jaume Giné
Keyword(s):  
Differential Equations ◽  
Analytic Functions ◽  
Autonomous Systems ◽  
Sufficient Conditions ◽  
Two Dimensional ◽  
Differential Systems ◽  
Weak Focus ◽  
Systems Of Differential Equations ◽  
Strong Focus

Consider the two-dimensional autonomous systems of differential equations of the form [Formula: see text] where P(x, y) and Q(x, y) are analytic functions. The origin is a strong focus of this system if λ ≠ 0 and is either a weak focus or its center if λ = 0. In this work we provide some sufficient conditions to have an isochronous focus at the origin.

SOLUTION OF SOME SYSTEMS OF DIFFERENTIAL EQUATIONS IN MATHEMATICAL SYSTEM MAPLE

2013 ◽  
Vol 1 (05) ◽  
pp. 58-65
Author(s):  
Yunona Rinatovna Krakhmaleva ◽  
◽  
Gulzhan Kadyrkhanovna Dzhanabayeva ◽  
Keyword(s):  
Differential Equations ◽  
Systems Of Differential Equations ◽  
Mathematical System

On decomposability of countable systems of differential equations

1993 ◽  
Vol 45 (10) ◽  
pp. 1598-1608
Author(s):  
A. M. Samoilenko ◽  
Yu. V. Teplinskii
Keyword(s):  
Differential Equations ◽  
Systems Of Differential Equations
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