Results 241 to 250 of about 338,760 (281)

The Method of Constructing the Phase Portrait of the Object

2019 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2019
In article the method of creation of a phase portrait of an object application whom to allow to increase accuracy of definition of dimensional orientation of an object with application of the Global navigation satellite systems is considered.
I. Sushkin, D. Korshunov, R. Ruf
semanticscholar   +1 more source

Global Phase Portraits of Homogeneous Polynomial Planar Hamiltonian Systems with Finitely Many Isotropic Points

Symmetry
The global phase portrait (GPP) classification of polynomial planar Hamiltonian systems with finitely many isotropic points is a challenging problem. Only homogeneous Hamiltonian systems of degrees up to five have been dealt with in existing literature ...
Jian Gao, Changxin Tang, Rong Wang, Wennan Zou   +3 more
semanticscholar   +1 more source

The Classification on the Global Phase Portraits of Two-dimensional Lotka–Volterra System

Journal of Dynamics and Differential Equations, 2008
The authors present a complete classification of all quadratic planar Lotka-Volterra systems. By a very detailed investigation, they find 143 topologically inequivalent global phase portraits for these systems, up to time reversal. First, all systems with nontrivial closed orbits are examined separately.
Cao, Feng, Jiang, Jifa
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CMMSE: Dynamics of a Current‐Carrying String in a Magnetic Field: Bifurcations, Time Series and Phase Portrait Analysis of the Mathieu‐Duffing Driven Oscillator

Mathematical methods in the applied sciences
A string is a basic system for studying vibrations in a large variety of more complicated systems across diverse fields such as physics, electrical engineering and biology, providing mathematical techniques for their study and ideas for engineering ...
Evgueny Kurmyshev, Hasan Raza Mirza
semanticscholar   +1 more source

Global Phase Portraits of Separable Polynomial Rigid Systems with a Center

Journal of Nonlinear Science
The article studies separable polynomial rigid systems of the form \[ \dot{x} = -y + xH(x,y), \quad \dot{y} = x + yH(x,y), \] with \(H(x,y) = f(x)g(y)\), focusing on the case when either \(f\) or \(g\) is an odd function. This condition guarantees symmetry in the vector field, ensuring that the origin is a center and influencing the global dynamics ...
Chen, Hebai, Feng, Zhaosheng, Zhang, Rui
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Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3

International Journal of Bifurcation and Chaos, 2020
We provide normal forms and the global phase portraits on the Poincaré disk of all planar Kukles systems of degree [Formula: see text] with [Formula: see text]-equivariant symmetry. Moreover, we also provide the bifurcation diagrams for these global phase portraits.
Fabio Scalco Dias, Ronisio Moises Ribeiro, Claudia Valls   +2 more
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Complete bifurcation diagram and global phase portraits of Liénard differential equations of degree four

Journal of Mathematical Analysis and Applications, 2020
The complete bifurcation diagram and global phase portraits in the Poincaré disc of a Lienard system of degree four with linear restoring force and three parameters are presentes. Using the rotation property, the authors find necessary and sufficient conditions for the existence of separatrix loops and limit cycles, respectively.
Chen, Xiaofeng, Chen, Hebai
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Global Phase Portraits of Piecewise Quadratic Differential Systems with a Pseudo-Center

International Journal of Bifurcation and Chaos
This paper deals with the global dynamics of planar piecewise smooth differential systems constituted by two different vector fields separated by one straight line that passes through the origin. From a quasi-canonical family of piecewise quadratic differential systems with a pseudo-focus point at the origin, which has six parameters, we investigate ...
Meriem Barkat, Rebiha Benterki, Enrique Ponce   +2 more
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Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems

Nonlinear Dynamics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Haihua, Huang, Jianfeng, Zhao, Yulin   +2 more
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The codimension of the phase portraits for degenerate quadratic differential systems

Academia de Stiinte a Republicii Moldova. Buletinul. Matematica
In this paper we present a complete study of degenerate quadratic differential systems, i.e. the polynomials from right-hand sides of these systems are not co-prime.
Joan C. Artés, N. Vulpe
semanticscholar   +1 more source