Results 241 to 250 of about 26,001 (267)

THE HAUSDORFF DIMENSION OF ATTRACTORS APPEARING BY SADDLE-NODE BIFURCATIONS

International Journal of Bifurcation and Chaos, 1991
We consider the strange attractors which appear as a result of saddle-node vanishing bifurcations in two-dimensional, smooth dynamical systems. Some estimates and asymptotic formulas for the Hausdorff dimension of such attractors are obtained. The estimates demonstrate a dependence of the dimension growth rate after the bifurcation upon the "pre ...
M. A. Shereshevsky, V. S. Afraimovich
openaire   +3 more sources

Numerical Computation of Saddle-Node Homoclinic Bifurcation Points

SIAM Journal on Numerical Analysis, 1993
This paper presents the convergence and stability of a numerical method for computing the intersection points of homoclinic bifurcation curves and saddle-node or transcritical bifurcation curves.
openaire   +2 more sources

Reversible Saddle-Node Separatrix-Loop Bifurcation

We describe the unfolding of a special variant of the codimension-two Saddle-Node Separatrix-Loop (SNSL) bifurcation that occurs in systems with time-reversibility. While the classical SNSL bifurcation can be characterized as the collision of a saddle-node equilibrium with a limit cycle, the reversible variant (R-SNSL) is characterised by as the ...
Burylko, Oleksandr, Wolfrum, Matthias, Yanchuk, Serhiy   +2 more
openaire   +1 more source

Breaking of symmetry in the saddle-node Hopf bifurcation

Physics Letters A, 1991
Abstract The normal form for the saddle-node Hopf bifurcation has an intrinsic symmetry which need not be present in nearby vector fields. Adding terms to the normal form which are incompatible with the symmetry leads to new bifurcation sequences which are organized by a pair of heteroclinic tangencies and by homoclinic bifurcations.
openaire   +2 more sources

Predicting non-stationary and stochastic activation of saddle-node bifurcation in non-smooth dynamical systems

Nonlinear dynamics, 2018
Jinki Kim, Kon-Well Wang
semanticscholar   +1 more source

Saddle-Node Bifurcation and Vibrational Resonance in a Fractional System with an Asymmetric Bistable Potential

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2015
Jianhua Yang, M. Sanjuán, F. Tian, H. Yang   +3 more
semanticscholar   +1 more source

Estimating the saddle-node bifurcation point of static power systems using the holomorphic embedding method

, 2017
S. Rao, D. Tylavsky, Yang Feng
semanticscholar   +1 more source

Saddle-node bifurcation and its robustness analysis: A mechanism for inducing pluripotency in stem cell

IEEE Conference on Decision and Control, 2014
M. Inoue, J. Imura, Takayuki Arai, K. Kashima, K. Aihara   +4 more
semanticscholar   +1 more source

Dynamic Saddle-Node Bifurcation of the Limit Cycles in the Model of Neuronal Excitability

, 2015
S. Kirillov, V. Nekorkin
semanticscholar   +1 more source

Coexisting coherent and incoherent domains near saddle-node bifurcation

, 2015
V. K. Chandrasekar, R. Suresh, D. Senthilkumar, M. Lakshmanan   +3 more
semanticscholar   +1 more source