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Emerging Directions in Bifurcation Control
In this chapter, we present some emerging directions in bifurcation control in continuous-time dynamical systems. Specifically we discuss two...
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Static Bifurcation in Mechanical Control Systems
Feedback regulation of nonlinear dynamical systems inevitably leads to issues concerning static bifurcation. Static bifurcation in feedback systems...
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Bifurcation Analysis for Control Systems Applications
In this chapter, the role that bifurcation analysis can play for control systems applications is discussed. It is proposed that bifurcation tools can...
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Bifurcation Control in Feedback Systems
In this chapter the mathematical tools from bifurcation theory are used within the framework of feedback control systems. The first part deals with a...
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Bifurcation Dynamics in Control Systems
This chapter deals with bifurcation dynamics in control systems, which are described by ordinary differential equations, partial differential...
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Application of Bifurcation Analysis to Power Systems
Electric power systems are physically some of the largest and most complex nonlinear systems in the world. Bifurcations are rather mundane phenomena...
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Numerical study of the effects of bifurcation angle on hemodynamics during pulsatile flow in a carotid artery bifurcation
To investigate the effects of the hemodynamics of arterial shape, mainly the bifurcation angle and sinus shape of the carotid artery, a computational...
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Bogdanov–Takens bifurcation of an enzyme-catalyzed reaction model
Enzyme-catalyzed reactions are frequently observed in the chemical process, and could be described by the mathematical model, such as the Gray–Scott...
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Anti-control of Hopf bifurcation for the Willamowski–Rössler system
Anti-control of Hopf bifurcation is one of the hot topics in nonlinear dynamics research, which is to make the system generate or strengthen...
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Singular Bautin bifurcation analysis of a slow–fast predator–prey system
Over the past few decades, the study of complex oscillations in slow–fast systems has been a focal point of research. Within the realm of slow–fast...
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A memristive chaotic map with only one bifurcation parameter
Discrete memristor can be introduced for chaos producing conveniently even combined with easy amplitude control. Such a case is designed in this...
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Ergodic and resonant torus doubling bifurcation in a three-dimensional quadratic map
We consider the rich dynamics and bifurcations exhibited by a three-dimensional quadratic map. Torus doubling bifurcations are central to bifurcation...
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A double-zero bifurcation in a Lorenz-like system
The Lorenz system presents a double-zero bifurcation (a double-zero eigenvalue with geometric multiplicity two). However, its study by means of...
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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...
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Bifurcation analysis of a Filippov predator–prey model with two thresholds
Modelling integrated pest management with two thresholds can be achieved with a Filippov system. The feature of the model is that two thresholds are...
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Discrete Bazykin’s Prey–Predator Model with Stability, Control and Bifurcation
In this paper, we have studied stability, bifurcation analysis and hybrid control in a discrete Bazykin’s model. Specifically, we have examined...
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Bifurcation Theory
Bifurcation theory is the study of the changes in the number of solutions and the type of solutions to models as parameters are varied. The term...
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Exploration of bifurcation dynamics for a type of neural system with three delays
Many problems of physical interest involve the nonlinear interaction of two oscillators with different frequencies. Such mode interactions are double...
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Burst patterns with Hopf bifurcation in a simplified FHN circuit
To theoretically and experimentally characterize the neuronal burst patterns, a simplified FitzHugh–Nagumo (FHN) circuit is developed by using two...
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The bifurcation of the forced hunting motion and its interaction with the self-excited hunting motion
Forced hunting motion is a crucial and common nonlinear motion of the vehicle system, but its characteristic hasn’t been adequately investigated. In...
