On generation of a limit cycle from a separatrix loop of a sewn saddle-node [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 The article considers dynamical systems on the plane, defined by continuous piecewise smooth vector fields. Such systems are used as mathematical models of real processes with switching.
Roitenberg, Vladimir Shleymovich
doaj +1 more source
NONAUTONOMOUS SADDLE-NODE BIFURCATIONS IN THE QUASIPERIODICALLY FORCED LOGISTIC MAP
International Journal of Bifurcation and Chaos, 2011 We provide a local saddle-node bifurcation result for quasiperiodically forced interval maps. As an application, we give a rigorous description of saddle-node bifurcations of 3-periodic graphs in the quasiperiodically forced logistic map with small ...
DOAN THAI SON +3 more
core +3 more sources
Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
doaj +1 more source
Quadratic Differential Systems with a Finite Saddle-Node and an Infinite Saddle-Node (1,1) SN - (A) [PDF]
, 2021 Our goal is to make a global study of the class QsnSN11 of all real quadratic polynomial differential systems which have a finite semi-elemental saddle-node and an infinite saddle-node formed by the coalescence of a finite and infinite singularities ...
Artés Ferragud, Joan Carles +2 more
core +1 more source
Spatial Effects of Phase Dynamics on Oscillators Close to Bifurcation
Mathematics, 2023 The phase reduction approach has manifested its efficacy in investigating synchronization behaviors in limit-cycle oscillators. However, spatial distributions of the phase value on the limit cycle may lead to illusions of synchronizations for oscillators
Yihan Wang, Jinjie Zhu
doaj +1 more source
Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey
Journal of Biological Dynamics, 2023 In this work, we first modify a Lotka–Volterra predator–prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large ...
Zhenliang Zhu +3 more
doaj +1 more source
Interaction of two systems with saddle-node bifurcations on invariant circles : I. Foundations and the mutualistic case [PDF]
, 2013 The saddle-node bifurcation on an invariant circle (SNIC) is one of the codimension-one routes to creation or destruction of a periodic orbit in a continuous-time dynamical system.
MacKay, Robert S., Baesens, C.
core +1 more source
Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
doaj +1 more source
Quadratic Differential Systems with a Finite Saddle-Node and an Infinite Saddle-Node (1, 1) SN-(B) [PDF]
, 2021 This paper presents a global study of the class QsnSN11 of all real quadratic polynomial differential systems which have a finite semi-elemental saddle-node and an infinite saddle-node formed by the coalescence of a finite singularity and an infinite ...
Artés Ferragud, Joan Carles +2 more
core +1 more source
Bogdanov–Takens Bifurcation in a Shape Memory Alloy Oscillator with Delayed Feedback
Complexity, 2020 This work is focused on a shape memory alloy oscillator with delayed feedback. The main attention is to investigate the Bogdanov–Takens (B-T) bifurcation by choosing feedback parameters A1,2 and time delay τ.
Jinbin Wang, Lifeng Ma
doaj +1 more source