Results 21 to 30 of about 3,187 (232)

Speed Oscillations of a Vehicle Rolling on a Wavy Road

Applied Sciences, 2021
Every driver knows that his car is slowing down or accelerating when driving up or down, respectively. The same happens on uneven roads with plastic wave deformations, e.g., in front of traffic lights or on nonpaved desert roads.
Walter V. Wedig
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Global bifurcation analysis of a rational Holling system [PDF]

Компьютерные исследования и моделирование, 2017
In this paper, we consider a quartic family of planar vector fields corresponding to a rational Holling system which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system and which is a variation on
Valery Aleksandrovich Gaiko
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Algebraic theory of quantum synchronization and limit cycles under dissipation

SciPost Physics, 2022
Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been found. We develop such a general theory based on novel necessary and sufficient algebraic criteria for persistently ...
Buča, B, Booker, C, Jaksch, D
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The classification of limits of 2n-cycle algebras

Indiana University Mathematics Journal, 1999
We obtain a complete classification of the locally finite algebras and the operator algebras, given as algebraic inductive limits and Banach algebraic inductive limits respectively, of direct systems: A_1 contained in A_2 contained in A_3 and so on. Here the A_k are 2n-cycle algebras, where n is at least 3 and the inclusions are of rigid type.
Donsig, Allan P., Power, S. C.
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Quadratic systems with a symmetrical solution

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
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Algebraic Analysis of Bifurcation and Limit Cycles for Biological Systems [PDF]

, 2008
In this paper, we show how to analyze bifurcation and limit cycles for biological systems by using an algebraic approach based on triangular decomposition, Gröbner bases, discriminant varieties, real solution classification, and quantifier elimination by partial CAD.
Niu, Wei, Wang, Dongming
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Counterexample to a Conjecture on the Algebraic Limit Cycles of Polynomial Vector Fields [PDF]

Geometriae Dedicata, 2005
In Geometriae Dedicata 79 (2000), 101{108, Rudolf Winkel conjectured: For a given algebraic curve f = 0 of degree m > 4 there is in general no polynomial vector ¯eld of degree less than 2m ¡ 1 leaving invariant f = 0 and having exactly the ovals of f = 0 as limit cycles. Here we show that this conjecture is not true.
Llibre Saló, Jaume, Pantazi, Chara
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Robust Nonlinear Regulation of Limit Cycle Oscillations in UAVs Using Synthetic Jet Actuators

Robotics, 2014
In this paper, a synthetic jet actuators (SJA)-based nonlinear robust controller is developed, which is capable of completely suppressing limit cycle oscillations (LCO) in UAV systems with parametric uncertainty in the SJA dynamics and unmodeled external
Natalie Ramos Pedroza, William MacKunis, Vladimir V. Golubev   +2 more
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A family of planar differential systems with hyperbolic algebraic limit cycles

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than $n+1$, by presenting polynomial curves of degree $n,$ which generally contain closed components.
Maroua Ghelmi, Aziza Berbache
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Periodic Steady State Assessment of Microgrids with Photovoltaic Generation Using Limit Cycle Extrapolation and Cubic Splines

Energies, 2018
This paper proposes a fast and accurate time domain (TD) methodology for the assessment of the dynamic and periodic steady state operation of microgrids with photovoltaic (PV) energy sources.
Marcolino Díaz-Araujo, Aurelio Medina, Rafael Cisneros-Magaña, Amner Ramírez   +3 more
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