The visualization of computed three-dimensional bifurcation surfaces of critical points, or limit-point shells was done for bifurcation problems that contained a pitchfork as an organizing centre. Comparison of notionally equivalent problems depicted th
Chaos is typically visualized on an infinite 2D plane. This summer, we utilized a third dimension to...
Bifurcations indicate qualitative changes in a system's behavior. For a dynamical system dy/dt=f(y,λ...
<p>Left, <i>μ</i><sub><i>E</i></sub> is shown on the <i>z</i>−axis as function of <i>I</i><sub><i>E<...
In this paper, we discuss the features of investigating the type of the critical point on the equili...
Classification and visualization of critical points in 3D vector fields is a challenging task. In th...
In this paper we present two visualization techniques. One uses the topological structure of the dyn...
Elementary techniques from real analysis, and singularity theory are applied to deriveanalytical res...
The slow drift (with speed ɛ) of a parameter through a pitchfork bifurcation point, known as the dy...
<p>The bifurcation lines and the cusp point in parameter space were obtained analytically from the m...
Methods to detect and investigate simple bifurcation points have been investigated. Two methods to f...
Research has been conducted on the role and importance of visualisation in many fields, including ps...
(Communicated by???) Abstract. The bifurcations of strange nonchaotic attractors in quasi-periodical...
Abstract. We present an algorithm for computing the direction of pitchfork bifurcation for two-point...
We consider the practical problem of estimating parameter values for the unfolding of a pitchfork bi...
The visualization methods can be used for study of the limit surfaces Ï (Sect. 1.5) and for comparis...
Chaos is typically visualized on an infinite 2D plane. This summer, we utilized a third dimension to...
Bifurcations indicate qualitative changes in a system's behavior. For a dynamical system dy/dt=f(y,λ...
<p>Left, <i>μ</i><sub><i>E</i></sub> is shown on the <i>z</i>−axis as function of <i>I</i><sub><i>E<...
In this paper, we discuss the features of investigating the type of the critical point on the equili...
Classification and visualization of critical points in 3D vector fields is a challenging task. In th...
In this paper we present two visualization techniques. One uses the topological structure of the dyn...
Elementary techniques from real analysis, and singularity theory are applied to deriveanalytical res...
The slow drift (with speed ɛ) of a parameter through a pitchfork bifurcation point, known as the dy...
<p>The bifurcation lines and the cusp point in parameter space were obtained analytically from the m...
Methods to detect and investigate simple bifurcation points have been investigated. Two methods to f...
Research has been conducted on the role and importance of visualisation in many fields, including ps...
(Communicated by???) Abstract. The bifurcations of strange nonchaotic attractors in quasi-periodical...
Abstract. We present an algorithm for computing the direction of pitchfork bifurcation for two-point...
We consider the practical problem of estimating parameter values for the unfolding of a pitchfork bi...
The visualization methods can be used for study of the limit surfaces Ï (Sect. 1.5) and for comparis...
Chaos is typically visualized on an infinite 2D plane. This summer, we utilized a third dimension to...
Bifurcations indicate qualitative changes in a system's behavior. For a dynamical system dy/dt=f(y,λ...
<p>Left, <i>μ</i><sub><i>E</i></sub> is shown on the <i>z</i>−axis as function of <i>I</i><sub><i>E<...
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