Hopf Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web [PDF]
Mathematical Problems in Engineering, 2018 Complex dynamics of a four-species food web with two preys, one middle predator, and one top predator are investigated. Via the method of Jacobian matrix, the stability of coexisting equilibrium for all populations is determined. Based on this equilibrium, three bifurcations, i.e., Hopf bifurcation, Hopf-Hopf bifurcation, and period-doubling ...
Huayong Zhang +5 more
openaire +2 more sources
A blue sky catastrophe in double-diffusive convection
, 2004 A global bifurcation of the blue sky catastrophe type has been found in a small Prandtl number binary mixture contained in a laterally heated cavity. The system has been studied numerically applying the tools of bifurcation theory.
E. Knobloch +9 more
core +1 more source
Connecting period-doubling cascades to chaos [PDF]
, 2010 The appearance of infinitely-many period-doubling cascades is one of the most prominent features observed in the study of maps depending on a parameter. They are associated with chaotic behavior, since bifurcation diagrams of a map with a parameter often
Sander, Evelyn, Yorke, James A.
core
Period doubling and reducibility in the quasi-periodically forced logistic map
, 2011 We study the dynamics of the Forced Logistic Map in the cylinder. We compute a bifurcation diagram in terms of the dynamics of the attracting set. Different properties of the attracting set are considered, as the Lyapunov exponent and, in the case of ...
Jorba, Angel +2 more
core +2 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
The effect of noise on the dynamics of a complex map at the period-tripling accumulation point [PDF]
, 2004 As shown recently (O.B.Isaeva et al., Phys.Rev E64, 055201), the phenomena intrinsic to dynamics of complex analytic maps under appropriate conditions may occur in physical systems.
Isaeva, O. B. +2 more
core +1 more source
The quasi-periodic doubling cascade in the transition to weak turbulence [PDF]
, 2005 The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-periodic domain.
Anishenko +20 more
core +1 more source
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 +4 more sources
Using Nyquist or Nyquist-Like Plot to Predict Three Typical Instabilities in DC-DC Converters
, 2012 By transforming an exact stability condition, a new Nyquist-like plot is proposed to predict occurrences of three typical instabilities in DC-DC converters.
Al-Mothafar +24 more
core +1 more source
Investigation of a CO2 laser response to loss perturbation near period doubling [PDF]
, 1995 We have observed, in experiments with a loss-driven CO2 laser operating near the onset of a period-doubling bifurcation, strong amplification of a perturbation signal at half the driving frequency.
American Physical Society +5 more
core +2 more sources