Results 91 to 100 of about 116,098 (200)
Japanese Journal of Sociology, Volume 35, Issue 1, January/December 2026.
Anthony Elliott
wiley +1 more source
Control based bifurcation analysis for experiments [PDF]
, 2008 We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear dynamical systems. Our method does not require a mathematical model of the dynamical system nor the ability to set its initial conditions.
Krauskopf, B., Sieber, J.
core +2 more sources
Empirical assessment of bifurcation regions within new Keynesian models [PDF]
As is well known in systems theory, the parameter space of most dynamic models is stratified into subsets, each of which supports a different kind of dynamic solution.
Barnett, William A., Duzhak, Evgeniya A.
core +2 more sources
Discrete Dynamics in Nature and Society, 2013 The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
Bo Yang
doaj +1 more source
A diffusive predator-prey system with prey refuge and gestation delay
Advances in Difference Equations, 2017 The dynamics of a diffusive predator-prey system with prey refuge and gestation delay is investigated in this paper. For a non-delay system, global stability, Turing instability and Hopf bifurcation are studied.
Ruizhi Yang, Haoyu Ren, Xue Cheng
doaj +1 more source
Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
doaj +1 more source
Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]
, 2009 The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
core +1 more source
Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs
Journal of Nonlinear ScienceAbstractThe Swift–Hohenberg equation (SHE) is a partial differential equation that explains how patterns emerge from a spatially homogeneous state. It has been widely used in the theory of pattern formation. Following a recent study by Bramburger and Holzer (SIAM J Math Anal 55(3):2150–2185, 2023), we consider discrete SHE on deterministic and random ...
Georgi S. Medvedev, Dmitry E. Pelinovsky
openaire +2 more sources
Bifurcation from a normally degenerate manifold
, 2010 Local bifurcation theory typically deals with the response of a degenerate but isolated equilibrium state or periodic orbit of a dynamical system to perturbations controlled by one or more independent parameters, and characteristically uses tools from ...
Chillingworth, D. R. J. +2 more
core +1 more source
Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]
, 2011 We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization along the trivial branch of ...
Pejsachowicz, Jacobo
core