Search
Search Results
-
Analysis and Control of Limit Cycle Bifurcations
The chapter addresses bifurcations of limit cycles for a general class of nonlinear control systems depending on parameters. A set of simple...
-
Global bifurcations of a multi-stable nonlinear oscillator
In this paper, we focus on the bifurcation analysis of a multi-stable nonlinear oscillator. This oscillator exhibits multiple equilibrium...
-
Feedback Control of Border Collision Bifurcations
The feedback control of border collision bifurcations is considered. These bifurcations can occur when a fixed point of a piecewise smooth system...
-
Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs
A combined analysis of smooth and non-smooth bifurcations captures the interplay of different qualitative transitions in a canonical model of an...
-
Predicting saddle-node bifurcations using transient dynamics: a model-free approach
This paper proposes a novel method for predicting the presence of saddle-node bifurcations in dynamical systems. The method exploits the effect that...
-
Bifurcations and Chaos in Turbo Decoding Algorithms
The turbo decoding algorithm is a high-dimensional dynamical system parameterized by a large number of parameters (for a practical realization the...
-
Distance to Bifurcation in Multidimensional Parameter Space: Margin Sensitivity and Closest Bifurcations
The problem of operating or designing a system with robust stability with respect to many parameters can be viewed as a geometric problem in...
-
Bursting Oscillations in a Vector Field with Fold-Hopf Bifurcation at the Origin via Low-Frequency Excitation
PurposeTo classify bursting oscillations according to different co-dimension of bifurcation is meaningful to the theory of slow-fast dynamics. The...
-
Codimension-one and codimension-two bifurcations in a new discrete chaotic map based on gene regulatory network model
In this paper, the stability and bifurcations of a new discrete chaotic map based on gene regulatory network are studied. Firstly, the existence and...
-
Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using center manifold reduction
Many rotating machines utilize a fluid-type bearing. Despite their reliability and high load capacity, these bearings often show instabilities due to...
-
Investigating the dynamics of bursting by combining two fast–slow analyses with codimension-2 bifurcations in the embryonic pre-BötC neuron model
The network activity of the pre-Bötzinger complex (pre-BötC) in the mammalian brainstem controls the inspiratory phase of the respiratory rhythm....
-
Identifying bifurcations underlying a neuronal bursting of mixed-mode oscillations with two slow variables in inner hair cell
Neuronal bursting patterns are nonlinear behaviors related to various brain functions and diseases. Bursting modulated by two slow variables manifest...
-
On occurrence of sudden increase of spiking amplitude via fold limit cycle bifurcation in a modified Van der Pol–Duffing system with slow-varying periodic excitation
The main purpose of the paper is to reveal the mechanism of certain special phenomena in bursting oscillations such as the sudden increase of the...
-
Composite Poincaré map** of double grazing in non-smooth dynamical systems: bifurcations and insights
This article investigates the phenomenon of bifurcation induced by double grazing in a piecewise-smooth oscillator with a play, which is a common...
-
Achievements and Developments in Mass Models of Vocal Fold Vibrations
The proposed mass model of vocal fold vibration holds a significant importance in the auxiliary diagnosis and treatment of human vocal fold...
-
Bifurcations in a simplified and smoothed model of the dynamics of a rolling wheelset
A simplified wheelset model with a nonlinear smooth equivalent conicity function is taken into account. The goal is to investigate the influence of...
-
Memristive Hénon map with hidden Neimark–Sacker bifurcations
Due to the nonlinearity with inner state, memristors have been applied in vast continuous dynamical systems. However, the application of memristors...
-
Multiple switching and bifurcations of in-phase and anti-phase periodic orbits to chaotic coexistence in a delayed half-center CPG oscillator
In this study, we investigate complex dynamical behaviors of a delayed-HCO (half-center oscillator) neural system consisting of two inertial neurons....
-
Bursting Oscillations Induced by Coexisted Cycles Separated by Fold Limit Cycle Bifurcation
PurposeThis study identifies the basic characteristics as well as the bifurcation mechanism of slow-fast behaviors in a typical model with two...
-
Practical Stabilization of Systems with a Fold Control Bifurcation
Nonlinear parameterized dynamical systems exhibit complicated performance around bifurcation points. As the parameter of a system is varied, changes...