Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
Nonlinearity, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications. We consider here the case that there is a global reinjection mechanism, because the centre manifold of the ...
Bernd Krauskopf, Bart E. Oldeman
core +10 more sources
Tipping Points Near a Delayed Saddle Node Bifurcation with Periodic Forcing [PDF]
SIAM Journal on Applied Dynamical Systems, 2014 We consider the effect on tipping from an additive periodic forcing in a canonical model with a saddle node bifurcation and a slowly varying bifurcation parameter.
Jielin Zhu, R. Kuske, T. Erneux
semanticscholar +3 more sources
Theoretical analysis for critical fluctuations of relaxation trajectory near a saddle-node bifurcation. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 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 ...
Mami Iwata, S. Sasa
semanticscholar +3 more sources
Transient periodic behaviour related to a saddle-node bifurcation [PDF]
Journal of Physics A: Mathematical and General, 1987 We investigate transient periodic orbits of dissipative invertible maps of \({\mathbb{R}}^ 2\). Such orbits exist just before, in parameter space, a saddle-node pair is formed. We obtain numerically and analytically simple scaling laws for the duration of the transient, and for the region of initial conditions which envolve into transient periodic ...
Ruud van Damme, T. P. Valkering
openaire +5 more sources
Boundary Driven Waveguide Arrays: Supratransmission and Saddle-Node Bifurcation [PDF]
SIAM Journal on Applied Mathematics, 2008 In this paper, we consider a semi-infinite discrete nonlinear Schrodinger equation driven at one edge by a driving force. The equation models the dynamics of coupled waveguide arrays. When the frequency of the forcing is in the allowed band of the system,
H. Susanto
semanticscholar +3 more sources
Excitability in a model with a saddle-node homoclinic bifurcation
Discrete & Continuous Dynamical Systems - B, 2004 In order to describe excitable reaction-diffusion systems, we derive a two-dimensional model with a Hopf and a semilocal saddle-node homoclinic bifurcation. This model gives the theoretical framework for the analysis of the saddle-node homoclinic bifurcation as observed in chemical experiments, and for the concepts of excitability and excitability ...
Rui Dilão, András Volford
openalex +5 more sources
Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory [PDF]
, 2004 We consider a model of a Hopf bifurcation interacting as a codimension 2 bifurcation with a saddle-node on a limit cycle, motivated by a low-order model for magnetic activity in a stellar dynamo.
Peter Ashwin +2 more
openalex +7 more sources
IEEE AccessIn the recent years, significant research interest has been devoted in the modelling and applications of chaotic systems with stable equilibria. In this research study, we propose a new 3-D chaotic system with two stable node-foci equilibria and an ...
Talal Bonny +4 more
doaj +2 more sources
Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions. [PDF]
Physica D, 2019 There is a growing awareness that catastrophic phenomena in biology and medicine can be mathematically represented in terms of saddle-node bifurcations.
Li JH, Ye FX, Qian H, Huang S.
europepmc +2 more sources
Sensitivity enhancement of nonlinear micromechanical sensors using parametric symmetry breaking [PDF]
Microsystems & NanoengineeringThe working mechanism of resonant sensors is based on tracking the frequency shift in the linear vibration range. Contrary to the conventional paradigm, in this paper, we show that by tracking the dramatic frequency shift of the saddle-node bifurcation ...
Yutao Xu +3 more
doaj +2 more sources