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Local Robustness of Bifurcation Stabilization with Applications to Jet Engine Control
Local robustness of bifurcation stabilization is studied for parameterized nonlinear systems of which the linearized system possesses either a simple...
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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...
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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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Bifurcation analysis of a nonlinear pulse SIR model with media coverage
In this study, we propose a nonlinear pulse SIR model with media coverage to describe the effects of vaccination and isolation measures determined by...
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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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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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Spatial Static Bifurcation and Control of 2-D Discrete Dynamical System
In this chapter, we use a unified delayed feedback method to control the spatial static bifurcation of a 2-D discrete dynamical system. By using this...
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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 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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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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Bifurcation Analysis of a COVID-19 Dynamical Model in the Presence of Holling Type-II Saturated Treatment with Reinfection
In this study, we have proposed a mathematical model to determine the dynamical behavior of COVID-19 transmission incorporating bilinear incidence...
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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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Phenomenological Aspects of Bifurcation of Structures
The state-space of a mechanical system, made of positions and velocities, is introduced. In this space, the definition of stability of equilibrium is...
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Bifurcation analysis of a two infection SIR-SIR epidemic model with temporary immunity and disease enhancement
In this paper we study a two infection SIR-SIR compartmental model, considering biological features described in dengue fever epidemiology. Due to a...
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Stability and bifurcation analysis of a pendent drop using a novel dynamical model
Drop dynamics is often used to study liquid-fluid interfacial problems. Also, oscillatory pendent drops are a suitable and alternative tool to study...
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Asymptotic formulation of the nonlinear bifurcation scenarios in thermomechanically coupled plates
The nonlinear dynamics of composite plates with thermomechanical coupling is analytically addressed in order to describe the main bifurcation...
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Self-sustained dynamics by modeling competing PHA-producers and non-PHA-producers bacteria population for a limited resource: local and homoclinic bifurcation analysis
We propose a mathematical model for two species competing for a limited resource associated to polyhydroxyalkanoate (PHA) production, which possesses...
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Bifurcation and dynamic analysis of quasi-zero stiffness isolator with asymmetric stiffness and mismatched load based on X-shaped negative stiffness structure
In order to guide the design of quasi-zero stiffness isolator with asymmetric stiffness and mismatched load based on X-shaped negative stiffness...
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Bifurcation and Stability Analysis of Glucose-Insulin Regulatory System in the Presence of β-Cells
Diabetes mellitus is one of the most extensive diseases in the world. The mathematical models are prevalent to study the dynamics of glucose,...
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Bifurcation Analysis
Bifurcations mark the qualitative changes in system behavior that may occur when the parameters of a system are varied. For example, for a damped...