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A novel hyperbolic tangent-based PID controller tuned by the artificial lemming algorithm for nonlinear steam condenser pressure control. [PDF]
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Physics of Life Reviews, 2017
In this chapter, the concepts of nonlinear dynamical systems will be introduced. The local theory of nonlinear dynamical systems will be briefly discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be discussed.
Nicola Bellomo, Ahmed Elaiw
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In this chapter, the concepts of nonlinear dynamical systems will be introduced. The local theory of nonlinear dynamical systems will be briefly discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be discussed.
Nicola Bellomo, Ahmed Elaiw
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Linearization of Nonlinear Dynamic Systems
IEEE Transactions on Instrumentation and Measurement, 2004In this paper we propose a method to linearize a nonlinear dynamic system: the nonlinear distortions are reduced, and the linear dynamics are corrected to a flat amplitude and linear phase in a user defined frequency band.
Schoukens, Joannes +4 more
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Noise in nonlinear dynamical systems
Contemporary Physics, 1990Abstract Noise is commonly regarded as having a destructive but relatively innocuous effect, blurring our view of a system but having no effect on the underlying processes involved. In this paper we show, using examples from stochastic nonlinear dynamics, that these intuitive ideas about noise can be very misleading.
MANNELLA, RICCARDO, MCCLINTOCK PVE
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Nonlinear Dynamics of Microelectromechanical Systems
Journal of Vibration and Control, 2006We investigate the dynamic behavior of a micromachined switch including a thin metal membrane called the “bridge”. A nonlinear model is presented considering mechanical force, electrostatic force, and the squeeze-film damping force, and the dynamic equations of a double model for the micromachined system are derived.
Liu, Liqin, Gang, Tangyou, Wu, Zhiqiang
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Applied Mechanics Reviews, 1985
New discoveries have been made recently about the nature of complex motions in nonlinear dynamics. These new concepts are changing many of the ideas about dynamical systems in physics and in particular fluid and solid mechanics. One new phenomenon is the apparently random or chaotic output of deterministic systems with no random inputs.
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New discoveries have been made recently about the nature of complex motions in nonlinear dynamics. These new concepts are changing many of the ideas about dynamical systems in physics and in particular fluid and solid mechanics. One new phenomenon is the apparently random or chaotic output of deterministic systems with no random inputs.
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Nonlinear dynamics and nonlinear dynamical systems
2015The concept of Dynamics exists everywhere in our lives. As an integral component of daily reality, engineers and scientists research, analyze, and observe the behaviors of dynamics and dynamical systems and their application in our real world activities. As a general rule, dynamical systems are characterized by their nonlinear quality.
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Nonlinear Dynamic Systems: Uncoupled
2016It is actually quite common for oscillations to appear in natural and social systems — economic boom–bust cycles, ice ages, and the predator-prey dynamics of rabbits and foxes.How do we explain persistent, stable oscillations? Spirals in linear systems (Figure 5.6) have an oscillation tendency, but are either stable, converging to a point, or unstable ...
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