Results 211 to 220 of about 3,518 (241)
Local and global phase portrait of equation $\dot z=f(z)$
Discrete and Continuous Dynamical Systems, 2007 This paper studies the differential equation $\dot z=f(z)$, where $f$ is an analytic function in $\mathbb C$ except, possibly, at isolated singularities. We give a unify treatment of well known results and provide new insight into the local normal forms and global properties of the solutions for this family of differential equations.
Antonio Garijo +2 more
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Global Phase Portraits of Memristor Oscillators
International Journal of Bifurcation and Chaos, 2014In this paper, the global dynamics of memristor oscillators are investigated. For the sake of analysis, we first reformulate the original system into a simple form, which has only three parameters, and analyze its dynamics according to the variation of the parameters.
Hebai Chen, Xuefang Li
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Global Phase Portraits of Ordinary Differential Equations Modeling the Acute Promyelocytic Leukemia
Differential Equations and Dynamical Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Candido, Douglas Modesto +2 more
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A complete global phase portrait for the matrix Riccati equation
The 22nd IEEE Conference on Decision and Control, 1983A complete description is given for the phase portrait of the matrix Riccati equation which arises from the optimal control and filtering problems, as well as for associated differential equations on the Grassmann and Lagrange-Grassmann manifolds. The phase portraits are characterized topologically as well as set-theoretically.
Mark A Shayman
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Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3
International Journal of Bifurcation and Chaos, 2020We 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 +2 more
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Global phase portraits of planar piecewise linear refracting systems of saddle–saddle type
Nonlinear Analysis: Real World Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi Shao, Shimin Li, Kuilin Wu
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The Classification on the Global Phase Portraits of Two-dimensional Lotka–Volterra System
Journal of Dynamics and Differential Equations, 2008The 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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Global Phase Portraits of Separable Polynomial Rigid Systems with a Center
Journal of Nonlinear ScienceThe 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 ...
Hebai Chen +2 more
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Global Phase Portraits of Piecewise Quadratic Differential Systems with a Pseudo-Center
International Journal of Bifurcation and ChaosThis 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 +2 more
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Bifurcation Diagram and Global Phase Portraits of a Family of Quadratic Vector Fields in Class I
Qualitative Theory of Dynamical Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Man Jia, Haibo Chen, Hebai Chen
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