Main results on classifications of definite, infinite and weak singularities in quadratic systems

2021 ◽  
pp. 133-162
Author(s):  
Joan C. Artés ◽  
Jaume Llibre ◽  
Dana Schlomiuk ◽  
Nicolae Vulpe
Keyword(s):  
Quadratic Systems ◽  
Weak Singularities

scholarly journals On algebraic approach in quadratic systems

2008 ◽  
Author(s):  
Matej Mencinger ◽  
Marko Robnik ◽  
Valery Romanovski
Keyword(s):  
Algebraic Approach ◽  
Quadratic Systems

scholarly journals Wigner functions of quadratic systems

1982 ◽  
Vol 115 (1-2) ◽  
pp. 215-231 ◽  
Author(s):  
E.A. Akhundova ◽  
V.V. Dodonov ◽  
V.I. Man'ko
Keyword(s):  
Wigner Functions ◽  
Quadratic Systems

On the Pauli-Van Vleck formula for arbitrary quadratic systems with memory in one dimension

1985 ◽  
Vol 18 (17) ◽  
pp. L1071-L1073 ◽  
Author(s):  
L G Urrutia ◽  
J C D'Olivo ◽  
F Zertuche
Keyword(s):  
One Dimension ◽  
Quadratic Systems ◽  
Systems With Memory ◽  
Van Vleck ◽  
With Memory

A Class of Three-Dimensional Quadratic Systems with Ten Limit Cycles

2016 ◽  
Vol 26 (09) ◽  
pp. 1650149 ◽  
Author(s):  
Chaoxiong Du ◽  
Yirong Liu ◽  
Wentao Huang
Keyword(s):  
Hopf Bifurcation ◽  
Limit Cycles ◽  
Three Dimensional ◽  
Singular Value ◽  
Singular Points ◽  
Quadratic Systems ◽  
Symmetric Points ◽  
Fifth Order

Our work is concerned with a class of three-dimensional quadratic systems with two symmetric singular points which can yield ten small limit cycles. The method used is singular value method, we obtain the expressions of the first five focal values of the two singular points that the system has. Both singular symmetric points can be fine foci of fifth order at the same time. Moreover, we obtain that each one bifurcates five small limit cycles under a certain coefficient perturbed condition, consequently, at least ten limit cycles can appear by simultaneous Hopf bifurcation.

scholarly journals Local Bifurcations and a Survey of Bounded Quadratic Systems

2000 ◽  
Vol 165 (2) ◽  
pp. 430-467 ◽  
Author(s):  
Freddy Dumortier ◽  
Chris Herssens ◽  
Lawrence Perko
Keyword(s):  
Quadratic Systems ◽  
Local Bifurcations

Boundedness of Some Forms of Quadratic Systems

2019 ◽  
pp. 197-241
Author(s):  
Zeraoulia Elhadj
Keyword(s):  
Quadratic Systems
Sign in / Sign up

Export Citation Format

Share Document