Results 1 to 10 of about 1,648,544 (312)
The Boundary-Hopf-Fold Bifurcation in Filippov Systems [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: This paper studies the codimension-3 boundary-Hopf-fold (BHF) bifurcation of planar Filippov systems. Filippov systems consist of at least one discontinuity boundary locally separating the phase space to disjoint components with different dynamics.
K. Efstathiou, Xia Liu, H. Broer
semanticscholar +6 more sources
Conjugacy in the discretized fold bifurcation
Computers & Mathematics with Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Farkas
semanticscholar +5 more sources
Learning to self-fold at a bifurcation. [PDF]
Physical Review E, 2022 Disordered mechanical systems can deform along a network of pathways that branch and recombine at special configurations called bifurcation points.
Chukwunonso Arinze +3 more
semanticscholar +4 more sources
Fold bifurcation identification through scientific machine learning
Physica D: Nonlinear Phenomena, 2023 This study employs scientific machine learning to identify transient time series of dynamical systems near a fold bifurcation of periodic solutions. The unique aspect of this work is that a convolutional neural network (CNN) is trained with a relatively ...
Giuseppe Habib, Á. Horváth
semanticscholar +3 more sources
Einstein’s field equations as a fold bifurcation [PDF]
Journal of Geometry and Physics, 2016 It is shown that Einstein’s field equations for all perfect-fluid k = 0 FLRW cosmologies have the same form as the topological normal form of a fold bifurcation.
I. S. Kohli, M. Haslam
semanticscholar +4 more sources
Turbulence near cyclic fold bifurcations in birhythmic media [PDF]
Physical Review E, 2004 We show that at the onset of a cyclic fold bifurcation, a birhythmic medium composed of glycolytic oscillators displays turbulent dynamics. By computing the largest Lyapunov exponent, the spatial correlation function, and the average transient lifetime ...
A. Goldbeter +10 more
core +4 more sources
Nonintegrability of the unfolding of the fold-Hopf bifurcation [PDF]
International Journal of Bifurcation and Chaos, 2018 We study the Hopf and the fold–Hopf bifurcations of the Rössler-type differential system [Formula: see text] with [Formula: see text]. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold–Hopf bifurcation, which here is studied using the averaging theory.
K. Yagasaki
semanticscholar +9 more sources
The Effect of Additive and Multiplicative Cyclic Perturbations on Noise-Induced Tipping Dynamics [PDF]
EntropyThe dynamics of systems near tipping points attract considerable attention in the context of climate change, ecological regime shifts, disease spreading, and other complex systems undergoing transitions.
Igor A. Khovanov, Natasha A. Khovanova
doaj +2 more sources
Bifurcation of Limit Cycles from a Fold-Fold Singularity in Planar Switched Systems [PDF]
SIAM Journal on Applied Dynamical Systems, 2016 An anti-lock braking system (ABS) is the primary motivation for this research. The ABS controller switches the actions of charging and discharging valves in the hydraulic actuator of the brake cylinder based on the wheels' angular speed and acceleration.
O. Makarenkov
semanticscholar +5 more sources
THE FOLD-FLIP BIFURCATION [PDF]
International Journal of Bifurcation and Chaos, 2004 The fold-flip bifurcation occurs if a map has a fixed point with multipliers +1 and -1 simultaneously. In this paper the normal form of this singularity is calculated explicitly. Both local and global bifurcations of the unfolding are analyzed by exploring a close relationship between the derived normal form and the truncated amplitude system for the ...
Kuznetsov, Yu. A. +2 more
openaire +3 more sources