Results 51 to 60 of about 153,706 (171)
Alternate Pacing of Border-Collision Period-Doubling Bifurcations [PDF]
arXiv, 2006 Unlike classical bifurcations, border-collision bifurcations occur when, for example, a fixed point of a continuous, piecewise $\mathcal{C}^{1}$ map crosses a boundary in state space. Although classical bifurcations have been much studied, border-collision bifurcations are not well understood. This paper considers a particular class of border-collision
arxiv
Bifurcations of nontrivial solutions of a cubic Helmholtz system
Advances in Nonlinear Analysis, 2019 This paper presents local and global bifurcation results for radially symmetric solutions of the cubic Helmholtz ...
Mandel Rainer, Scheider Dominic
doaj +1 more source
Classification of solitary wave bifurcations in generalized nonlinear Schrödinger equations [PDF]
arXiv, 2012 Bifurcations of solitary waves are classified for the generalized nonlinear Schr\"odinger equations with arbitrary nonlinearities and external potentials in arbitrary spatial dimensions. Analytical conditions are derived for three major types of solitary wave bifurcations, namely saddle-node bifurcations, pitchfork bifurcations and transcritical ...
arxiv
Unfolding a Codimension-Two, Discontinuous, Andronov-Hopf Bifurcation [PDF]
, 2008 We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a piecewise-smooth, continuous system of autonomous ordinary differential equations in the plane. We find the Hopf cycle undergoes a grazing bifurcation that may be very shortly followed by a saddle ...
arxiv +1 more source
Small-signal stability analysis for the multi-terminal VSC MVDC distribution network; a review
The Journal of Engineering, 2019 The stable operation and control of the proposed terrestrial multi-terminal Voltage Source Converter (VSC) medium voltage DC (MVDC) distribution network is a remarkable motivation towards developing the future universal DC grid interconnecting the low ...
Patrobers Simiyu +6 more
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Time Delay Effect on the Love Dynamical Model [PDF]
, 2011 We investigate the effect of time delay on the dynamical model of love. The local stability analysis proves that the time delay on the return function can cause a Hopf bifurcation and a cyclic love dynamics. The condition for the occurrence of the Hopf bifurcation is also clarified.
arxiv +1 more source
Grazing-sliding bifurcations creating infinitely many attractors [PDF]
, 2017 As the parameters of a piecewise-smooth system of ODEs are varied, a periodic orbit undergoes a bifurcation when it collides with a surface where the system is discontinuous. Under certain conditions this is a grazing-sliding bifurcation. Near grazing-sliding bifurcations structurally stable dynamics are captured by piecewise-linear continuous maps ...
arxiv +1 more source
Turing-Hopf bifurcation and spatio-temporal patterns of a ratio-dependent Holling-Tanner system with diffusion [PDF]
, 2017 A diffusive ratio-dependent Holling-Tanner system subject to Neumann boundary conditions is considered. The existence of multiple bifurcations, including Turing-Hopf bifurcation, Turing-Truing bifurcation, Hopf-double-Turing bifurcation and triple-Turing bifurcation, are given.
arxiv +1 more source
Local Bifurcations in DC-DC Converters [PDF]
arXiv, 2012 Three local bifurcations in DC-DC converters are reviewed. They are period-doubling bifurcation, saddle-node bifurcation, and Neimark bifurcation. A general sampled-data model is employed to study the types of loss of stability of the nominal (periodic) solution and their connection with local bifurcations.
arxiv
Bifurcation of critical periods of a quintic system
Electronic Journal of Differential Equations, 2018 We investigate the critical period bifurcations of the system $$ \dot x = ix + x \bar x ( a x^3 + b x^2 \bar x + \bar x \bar x^2+d \bar x^3) $$ studied in [6].
Valery G. Romanovski +2 more
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