Oct 21, 2011 · The fold-Hopf bifurcation is a bifurcation of an equilibrium point in a two-parameter family of autonomous ODEs at which the critical ...
In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where, as a parameter changes, a system's stability switches and a ...
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Abstract. In this work we study degenerate with respect to parameters fold-Hopfbifurcations in three-dimensional differential systems. Such degeneraciesarise ...
The Fold–Hopf bifurcation diagrams are provided to illustrate the correctness of our theoretical analysis. Whether almost periodic motion and bursting behavior ...
Jan 31, 2023 · Fold bifurcation causes the trajectory directly to jump to stable cycle LC_3, leading to repetitive spiking oscillations with the amplitude ...
This paper presents a numerical investigation of the complex phenomena which can occur at an interaction between fold and Hopf curves.
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Abstract. In this work we study degenerate with respect to parameters fold-Hopfbifurcations in three-dimensional differential systems. Such degeneraciesarise ...
We study the Hopf and the fold–Hopf bifurcations of the Rössler–type differential system ... This Hopf bifurcation becomes a fold–Hopf bifurcation when c = a = 0.
We have established conditions for which Hopf or fold bifurcations occur in the dynamics of a jerk system. It is known that for an n − dimensional dynamical ...