Results 51 to 60 of about 26,001 (267)
Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality [PDF]
, 2012 We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify its validity by analyzing the Potts model in a simple hierarchical network,
Koji Nemoto +4 more
core +2 more sources
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
doaj +1 more source
Dynamics of a Filippov epidemic model with limited hospital beds
Mathematical Biosciences and Engineering, 2018 A Filippov epidemic model is proposed to explore the impact of capacity and limited resources of public health system on the control of epidemic diseases.
Aili Wang, Yanni Xiao, Huaiping Zhu
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Global Structural Stability of a Saddle Node Bifurcation [PDF]
Transactions of the American Mathematical Society, 1978 S. Newhouse, J. Palis, and F. Takens have recently proved the global structural stability of a one parameter unfolding of a saddle node when the nonwandering set is finite and transversality conditions are satisfied. (The diffeomorphism is Morse-Smale except for the saddle node.) Using their local unfolding of a saddle node and our method of compatible
openaire +2 more sources
Bifurcation, chaos, and voltage collapse in power systems [PDF]
, 1995 A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased.
Tan, ChinWoo +3 more
core +1 more source
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
doaj +1 more source
Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]
, 2003 The nonlinear dynamics of Taylor-Couette flow in a small aspect ratio annulus (where the length of the cylinders is half of the annular gap between them) is investigated by numerically solving the full three-dimensional Navier-Stokes equations.
López Moscat, Juan Manuel +1 more
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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
doaj +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
doaj +1 more source