Results 31 to 40 of about 17,826 (235)
Mathematical Biosciences and Engineering, 2023 In this article, we will investigate a retarded van der Pol-Duffing oscillator with multiple delays. At first, we will find conditions for which Bogdanov-Takens (B-T) bifurcation occurs around the trivial equilibrium of the proposed system.
Mohammad Sajid +3 more
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Bifurcation of an Orbit Homoclinic to a Hyperbolic Saddle of a Vector Field in R4
Discrete Dynamics in Nature and Society, 2015 We perform a bifurcation analysis of an orbit homoclinic to a hyperbolic saddle of a vector field in R4. We give an expression of the gap between returning points in a transverse section by renormalizing system, through which we find the existence of ...
Tiansi Zhang, Dianli Zhao
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Моделирование и анализ информационных систем, 2015 We consider a finite-dimensional model of phase oscillators with inertia in the case of star configuration of coupling. The system of equations is reduced to a nonlinearly coupled system of pendulum equations.
V. N. Belykh +2 more
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Unfoldings of saddle-nodes and their Dulac time [PDF]
, 2015 In this paper we study unfoldings of saddle-nodes and their Dulac time. By unfolding a saddle-node, saddles and nodes appear. In the first result (Theorem A) we prove uniform regularity by which orbits and their derivatives arrive at a node.
Mardesić, Pavao +3 more
core +6 more sources
Delay-induced multistability near a global bifurcation
, 2007 We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node.
E. SCHÖLL +5 more
core +1 more source
On the CCN (de)activation nonlinearities [PDF]
Nonlinear Processes in Geophysics, 2017 We take into consideration the evolution of particle size in a monodisperse aerosol population during activation and deactivation of cloud condensation nuclei (CCN). Our analysis reveals that the system undergoes a saddle-node bifurcation and a cusp
S. Arabas, S. Arabas, S.-I. Shima
doaj +1 more source
Computational Analysis and Bifurcation of Regular and Chaotic Ca2+ Oscillations
Mathematics, 2021 This study investigated the stability and bifurcation of a nonlinear system model developed by Marhl et al. based on the total Ca2+ concentration among three different Ca2+ stores.
Xinxin Qie, Quanbao Ji
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, 2010 A Langevin equation whose deterministic part undergoes a saddle-node bifurcation is investigated theoretically. It is found that statistical properties of relaxation trajectories in this system exhibit divergent behaviors near a saddle-node bifurcation ...
C. W. Gardiner +9 more
core +1 more source
Transient localized wave patterns and their application to migraine [PDF]
, 2012 Transient dynamics is pervasive in the human brain and poses challenging problems both in mathematical tractability and clinical observability. We investigate statistical properties of transient cortical wave patterns with characteristic forms (shape ...
Dahlem, Markus A, Isele, Thomas M
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An isolated saddle-node bifurcation occurring inside a horseshoe [PDF]
Dynamics and Stability of Systems, 2000 In this paper, we consider a smooth arc of diffeomorphisms which has a saddle-node bifurcation inside a nontrivial invariant set which is a deformation of a horseshoe. We show that this saddle-node bifurcation is isolated, that is, its hyperbolicity is maintained before and after the saddle-node bifurcation.
Cao, Yongluo, Kiriki, Shin
openaire +2 more sources