Results 1 to 10 of about 1,656,709 (186)

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.
Konstantinos Efstathiou, Xia Liu, Henk W Broer   +2 more
exaly   +6 more sources

Conjugacy in the discretized fold bifurcation

Computers and Mathematics With Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Farkas
exaly   +4 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, M. Stern, S. Nagel, A. Murugan   +3 more
semanticscholar   +4 more sources

Fold bifurcation identification through scientific machine learning [PDF]

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, Michael C. Haslam
semanticscholar   +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   +7 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

On Hopf and Fold Bifurcations of Jerk Systems

Mathematics, 2023
In this paper we consider a jerk system x˙=y,y˙=z,z˙=j(x,y,z,α), where j is an arbitrary smooth function and α is a real parameter. Using the derivatives of j at an equilibrium point, we discuss the stability of that point, and we point out some local codim-1 bifurcations.
Cristian Lăzureanu
exaly   +3 more sources

Degenerate with respect to parameters fold-Hopf bifurcations

Discrete and Continuous Dynamical Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gheorghe Tigan
exaly   +3 more sources

Fold bifurcations in shearing radiative collapse. [PDF]

Sci Rep
Govinder KS, Maharaj SD.
europepmc   +2 more sources