Bifurcation diagrams for singularly perturbed system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider a singularly perturbed system where the fast dynamic of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system is $1$-dimensional and it admits a unique critical point, which undergoes to a bifurcation as a second parameter varies: transcritical, saddle-node, or pitchfork.
openaire +3 more sources
Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
doaj +1 more source
The Complete Bifurcation Diagram for the Logistic Map
, 1997 The complete bifurcation diagram as well as the basin of attraction for the logistic map is presented for the whole range of the control parameters, namely -2≤a≤4 where the system remains finite.
T. Tsuchiya, D. Yamagishi
semanticscholar +1 more source
Nonsmooth Vibration Characteristic of Gear Pair System with Periodic Stiffness and Backlash
Discrete Dynamics in Nature and Society, 2018 As the most widely used power transmission device in mechanical equipment, the vibration characteristics of gears have a very important influence on the working performance.
Minjia He +5 more
doaj +1 more source
Dynamic Behavior and Bifurcation Analysis of a Modified Reduced Lorenz Model
MathematicsThis study introduces a newly modified Lorenz model capable of demonstrating bifurcation within a specified range of parameters. The model demonstrates various bifurcation behaviors, which are depicted as distinct structures in the diagram.
Mohammed O. Al-Kaff +4 more
doaj +1 more source
Periodic orbits, bifurcation diagrams and the spectroscopy of C2H2 system [PDF]
, 1995 Rita Prosmiti, Stavros C. Farantos
openalex +1 more source
Analysis on dynamics and load sharing characteristics of herringbone tooth planetary gear system
Jixie qiangduA bending-torsion-axis coupling dynamic model of herringbone tooth planetary gear transmission system under time-varying meshing stiffness, tooth-side clearance and bearing clearance, integrated meshing error and load excitation was established, and the ...
JIN ZhongWen
doaj
Chaos and Control in Coronary Artery System
Discrete Dynamics in Nature and Society, 2012 Two types of coronary artery system N-type and S-type, are investigated. The threshold conditions for the occurrence of Smale horseshoe chaos are obtained by using Melnikov method.
Yanxiang Shi
doaj +1 more source
Varying bifurcation diagrams of positive solutions for a class of indefinite superlinear boundary value problems [PDF]
, 1999 Julián López-Gómez
openalex +1 more source
Codimension-two bifurcation analysis and chaos synchronization of a quarter-car vehicle model
Advances in Mechanical Engineering, 2018 In this study, codimension-two bifurcation analysis was used in conjunction with a novel control method to mediate chaos in a semi-active suspension system based on a quarter-car model with excitation introduced by the road surface profile.
Shun-Chang Chang, Jui-Feng Hu
doaj +1 more source