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Showing 1 to 20 of 26 for “"Van der Pol"”.
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Stabilization And Tracking Of The Van Der Pol Oscillator
… the stabilization and tracking problem of the Van der Pol oscillator is studied by using advanced control techniques. First, the linear state feedback and linear adaptive state feedback controllers for the stabilization problem are designed. Then, non-linear state feedback and output feedback …
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A Mathematical and Experimental Analysis of A Van Der Pol Type Oscillatorcontaining an Additional Bi-State Nonlinearity
Made available in DSpace on 2014-12-08T22:23:27Z (GMT). No. of bitstreams: 1 6408408.pdf: 2974335 bytes, checksum: 4c4d68b38ef3fc04ac816ff1d5a55d1f (MD5) Previous issue date: 1964
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Investigations into transient respiratory control using the work rate of breathing and a non-linear breather
… used to find the alveolar ventilation and the Van der Pol constants (𝛼, 𝜔, and 𝛆) that could be used in the body during the steady-state of exercise for each workload. Then, the feedback control model was used to simulate the transient exercise states. The alveolar ventilation was calculated in …
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Nonlinear dynamics and statistical physics of excitable systems
… as dynamical systems through the Bonhoeffer-Van der Pol equations. The Bonhoeffer-Van der Pol equations yield either excitable system behavior or oscillator dynamics, depending on a control parameter. Since the neurons are microscopic objects in a fluctuating environment, it is important to …
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A broadcast-based coordination scheme for a system of autonomous mobile robots
… other heartbeats. We generate heartbeats with van der Pol oscillators, which are nonlinear oscillators that modify their output when coupled to other oscillators. Van der Pol oscillators have long been utilized in simulations, particularly to model rhythmic behavior in biological systems. In …
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Numerical computation of perturbation solutions of nonautonomous systems
A numerical investigation of 2n first-order Hamilton's equations, which describe the motion of a dynamical system, has been conducted using Galerkin's approximations and a derivative-free analogue of Newton's iteration method. Furthermore, the motion stability of a dynamical system in the …
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Development of Reduced-Order Models for Lift and Drag on Oscillating Cylinders with Higher-Order Spectral Moments
… On the other hand, lower- or reduced-order models provide an alternative for determining structural response to forcing by fluid flow. The objective of this thesis is to provide a consistent approach for the development of reduced-order models for the lift and drag on oscillating …
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Movimentos induzidos por vórtices (VIM) de plataformas TLWP submetidas a correntes de alta intensidade
… cycle solutions, particularly the Rayleigh and Van der Pol Equations for sway and yaw, respectively. After presenting the equations of motion, some dimensional analysis considerations are made, in order to change the problem’s variables from real scale to model scale. After this, all the results …
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Theory and numerical modelling of dynamic ice-structure interaction for ice-induced vibrations
… self-excited vibration and forced vibration. Van der Pol equation, together with ice stress-strain rate curve and ice-velocity failure length are coupled to model the internal fluctuating nature of ice force in conjunction with the relative velocity caused by the structure as an external …
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Coupled oscillators near resonance
… ordinary differential equations (ODEs). We consider two types of resonances: accidental and intrinsic. For an accidental resonance, we find that the dynamics near a resonance is a generalization of the standard Hamiltonian dynamics of two coupled conservative oscillators, which we call the …
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Self-organization in large populations of mobile robots
… cooperative decision systems — such as coupled van der Pol oscillators — in finding and carrying the pallets are proposed. Sensors and communication systems that may be used in the Army-ant scenario are also briefly discussed.
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Two-Time-Scale Systems In Continuous Time With Regime Switching And Their Applications
… A distinct feature is that the processes under consideration are time inhomogeneous. Based on the idea of nearly decomposability and aggregation, the state space of the switching process can be viewed as "nearly decomposable" into l subspaces that are connected with weak interactions among …
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Generation and application of squeezed light
… of the semiclassical theory, the rotating wave van der Pol oscillator model for the squeezed reservoir laser, the derivation of the laser linewidth and the calculation of the spectrum of fluctuations from a linearized theory. Two main results are the locking of the laser phase due to the …
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Numerical and Analytical Analysis of Vortex Induced Vibrations of a Pipeline Close to Seabed
… oscillator model is extended from the classic Van der Pol equation by introducing an additional nonlinear term and two empirical coefficients to account explicitly for the effects of the gap ratio and mass ratio. Then, the model parameters are calibrated against available experimental data …
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Simulation, Modeling, and Characterization of the Wakes of Fixed and Moving Cylinders
… produce the lift and drag coefficients on a cylinder or a cylinder-like structure. We introduced an improved wake oscillator for the lift, which combines the van der Pol and Duffing equations. We proposed a two-term quadratic model that relates the drag and lift coefficients, which reproduces the …
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Forcing of globally unstable jets and flames
… The overall system is then modelled as a forced van der Pol oscillator. The results show that, contrary to some expectations, a hydrodynamically self-excited jet oscillating at one frequency is sensitive to forcing at other frequencies. When forced at low amplitudes, the jet responds at both …
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Soluciones oscilatorias en ecuaciones diferenciales con retardo
… En primer lugar, analizamos una ecuación de van der Pol realimentada con retardo, observamos distintas bifurcaciones y resonancias en las que intervienen uno o varios ciclos periódicos. Por otra parte, utilizamos el método de análisis homotópico como herramienta teórica para probar la …
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Input/output analysis: graphical and algorithmic methods
… the theory of large-scale convex optimization. Modern splitting methods, which invert sums of operators, are shown to correspond to the series or parallel interconnection of circuit elements which are monotone, and may be used to solve the steady-state behavior of such circuits. Consideration of …
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A Model of the Production of Spontaneous Otoacoustic Emissions in the Tokay Gecko
… and the frequency selectivity of hearing. Under certain conditions, the active process generates spontaneous oscillations, which then produce spontaneous emissions. Little is known about the process by which the spontaneous oscillations of a collection of hair cells within the ear are …
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Propagation Of Sound In The Vicinity Of Rigid Porous Interfaces
… Various rigid porous interfaces are considered: (1) a semi-infinite porous layer; (2) a porous hard-backed surface; and (3) a porous impedance-backed layer. A closed-form solution and numerical methods are derived with respect to each rigid porous interface condition.</p> <p>A modified …
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