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PHASE PORTRAITS OF BERNOULLI QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS
(Texas State Univ, 2020-05-22)
In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R-2.
Phase portraits of (2;0) reversible vector fields with symmetrical singularities
(2021-11-15)
In this paper we study the phase portraits in the Poincaré disk of the reversible vector fields of type (2;0) having generic bifurcations around a symmetric singular point p. We also prove the nonexistence of any periodic ...
Phase portraits of bernoulli quadratic polynomial differential systems
(2020-01-01)
In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincaré disk of Bernoulli quadratic polynomial differential systems in R2 .
Phase portraits of abel quadratic differential systems of second kind with symmetries
(Dynamical Systems An International Journal, 2020)
Phase portraits of abel quadratic differential systems of second kind with symmetries
(Dynamical Systems An International Journal, 2020)
The Lagrange-D'Alembert-Poincaré equations and integrability for the Euler's disk
(Springer, 2007-01)
Nonholonomic systems are described by the Lagrange-D'Alembert's principle. The presence of symmetry leads, upon the choice of an arbitrary principal connection, to a reduced D'Alembert's principle and to the Lagrange-D'A ...
A Tonnetz model for pentachords
(Taylor & Francis Ltd, 2013-04)
This article deals with the construction of surfaces that are suitable for representing pentachords or 5-pitch segments that are in the same T/I class. It is a generalization of the well known Öttingen-Riemann torus for ...
Global Phase Portraits for the Kukles Systems of Degree 3 with â.,¤2-Reversible Symmetries
(2021-05-01)
We provide the normal forms, the bifurcation diagrams and the global phase portraits on the Poincaré disk of all planar Kukles systems of degree 3 with Z2-symmetries.