Searched for: subject%3A%22Limit%255C+cycle%22
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Kooij, Robert (author), Zegeling, André (author)
We present a mechanical model for an oscillator with one degree of freedom under the influence of a flowing medium. Under fairly general conditions we show that the ensuing differential equation has at most two limit cycles and we give examples where exactly two limit cycles will occur. The implications of this result are that it is possible...
journal article 2023
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Bunk, Yannick (author)
The development of a high-fidelity fluid-structure interaction tool for the simulation of aircraft flight dynamics in the subsonic flow regime is presented. The tool combines a high-fidelity large-eddy simulation code with an immersed boundary method, a multibody solver and a loose coupling scheme between fluid and solid. The development of the...
master thesis 2022
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Loram, Ian (author), Gollee, Henrik (author), van de Kamp, C. (author), Gawthrop, Peter (author)
Objective: To explain the 0.2-2Hz oscillation in human balance. Motivation: Oscillation (0.2-2 Hz) in the control signal (ankle moment) is sustained independently of external disturbances and exaggerated in Parkinson's disease. Does resonance or limit cycles in the neurophysiological feedback loop cause this oscillation? We investigate two...
journal article 2022
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Duinmeijer, S.P.A. (author), Clemens, F.H.L.R. (author)
Experiments are conducted in a Ø600 mm tank to analyse the 3D motion of buoyant particles in the free-surface vortex flow. The experiments revealed two stages in the particle motion: stage 1 is the helical motion along the vortex air core and stage 2 is the axial motion inside the vortex core. The stage 1 motion is sensitive to the particle’s...
journal article 2021
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Kooij, Robert (author), Zegeling, André (author)
For a family of two-dimensional predator-prey models of Gause type, we investigate the simultaneous occurrence of a center singularity and a limit cycle. The family is characterized by the fact that the functional response is nonanalytical and ehibits group defense. We prove the eistence and uniqueness of the limit cycle using a new theorem...
journal article 2021
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Gasull, Armengol (author), Geyer, A. (author), Mañosa, Víctor (author)
It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain types of solutions defined for all time. In this paper we address the problem of persistence of TWS of a given PDE under small...
journal article 2021
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Zegeling, André (author), Kooij, Robert (author)
The research presented in this paper compares the occurrence of limit cycles under different bifurcation mechanisms in a simple system of two-dimensional autonomous predator–prey ODEs. Surprisingly two unconventional approaches, for a singular system and for a system with a center, turn out to produce more limit cycles than the traditional...
journal article 2021
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Kieft, Bas (author)
The most widely applied feedback controller is PID. This controller gains its popularity because of the ease of design through loop shaping, since PID can be analyzed in the frequency domain. However, PID is limited by linearity. Reset control is a nonlinear addition to PID control. Through linearization techniques it can be designed by...
master thesis 2020
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Zegeling, André (author), Kooij, Robert (author)
We study the occurrence of limit cyles in a model for two-species predator-prey interaction (referred to as Holling I). This model is based on the phenomenological fitting of the so-called functional response function to observed data in nature by a continuous, piecewise differentiable function. Of the original models presented by Holling it...
journal article 2020
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Gasull, A. (author), Geyer, A. (author), Mañosas, F. (author)
We show that a family of certain definite integrals forms a Chebyshev system if two families of associated functions appearing in their integrands are Chebyshev systems as well. We apply this criterion to several examples which appear in the context of perturbations of periodic non-autonomous ODEs to determine bounds on the number of isolated...
journal article 2020
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Smeets, Lucy (author)
Mass-spring systems are commonly used in structural components. Understanding their characteristics and pitfalls is an important issue, combining physics and mathematics to prevent such systems from resonating and causing structures to weaken or collapse. This way, suitable solutions can be found such as the use of dampers with the right...
bachelor thesis 2019
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Kooij, Robert (author), Zegeling, André (author)
In this paper we study the generalized Gause model, with a logistic growth rate for the prey in absence of the predator, a constant death rate for the predator and for several different classes of functional response, all non-analytical. First we consider the piecewise-linear functional response of Holling type I, which essentially has a...
journal article 2019
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Ivens, Mark (author)
Reset controllers can outperform PID controllers and may introduce phase advantage compared to linear PID control. However, in general, reset controllers do not have the same steady state properties as linear controllers, like removing steady state errors. In case of model mismatches and disturbances, this may cause limit cycles (persisting...
master thesis 2018
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Gaiko, V. (author), Vuik, Cornelis (author), Reijm, Huibert A.J. (author)
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcation analysis. To control the global bifurcations of limit cycle in this systems, it is necessary to know the properties and combine the effects of all its field rotation parameters. It can be done by means of the development of our...
journal article 2018
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Gaiko, Valery A. (author), Vuik, Cornelis (author)
We complete the global bifurcation analysis of the Leslie-Gower system with the Allee effect which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system. In particular, studying global bifurcations of limit cycles, we prove that such a system can have at most two limit cycles surrounding...
journal article 2018
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Zegeling, A. (author), Kooij, Robert (author)
In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: dx(t)/dt = P<sub>2</sub>(x, y) ≡ a<sub>00</sub>+ a<sub>10</sub>x + a<sub>01</sub>y + a<sub>20</sub>x<sup>2</sup>+ a<sub>11</sub>xy + a<sub>02</sub>y<sup>2</sup>dy(t)/dt = Q<sub>2</sub>(x, y) ≡ b<sub>00</sub>+ b<sub...
journal article 2018
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van Rooij, A.C.L.M. (author)
Aerodynamic non-linearities, such as shock waves, boundary layer separation or boundary layer transition, may cause an amplitude limitation of the oscillations induced by the fluid flow around a structure. These aeroelastic limit-cycle oscillations (LCOs) resulting from aerodynamic non-linearities have been studied numerically in this PhD thesis...
doctoral thesis 2017
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Gaiko, V. (author), Ginoux, Jean-Marc (author), Vuik, Cornelis (author)
We carry out the global bifurcation analysis of the Kukles system representing a planar polynomial dynamical system with arbitrary linear and cubic right-hand sides and having an anti-saddle at the origin. Using the <br/>Wintner–Perko termination principle of multiple limit cycles, we solve the problem on the maximum number and distribution of...
journal article 2017
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Bernhammer, L.O. (author), Navalkar, S.T. (author), Sodja, J. (author), De Breuker, R. (author), Karpel, M (author)
journal article 2017
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Feirstein, D.S. (author)
Reinforcement learning is a powerful tool to derive controllers for systems where no models are available. Particularly policy search algorithms are suitable for complex systems, to keep learning time manageable and account for continuous state and action spaces. However, these algorithms demand more insight into the system to choose a suitable...
master thesis 2016
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