Results 21 to 30 of about 101,257 (246)
A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle.
Meryem Belattar +3 more
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On new results on extremal graph theory, theory of algebraic graphs, and their applications
Доповiдi Нацiональної академiї наук України, 2022 New explicit constructions of infinite families of finite small world graphs of large girth with well-defined projective limits which is an infinite tree are described.
V.O. Ustimenko
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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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Algebraic limit cycles of planar cubic systems
Sibirskie Elektronnye Matematicheskie Izvestiya, 2020 Algebraic limit cycles of differential systems of the form \[\dot{x}=x+P_3(x,y),\quad \dot{y}=y+Q_3(x,y), \] where \(P_3(x,y)\) and \(Q_3(x,y)\) are homogeneous cubic polynomials, are studied. Note that the results of Theorem 1 were obtained much earlier in the monograph [\textit{V. N. Gorbuzov} and \textit{A. A.
Volokitin, E. P., Cheresiz, V. M.
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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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Some results on homoclinic and heteroclinic connections in planar systems [PDF]
, 2009 Consider a family of planar systems depending on two parameters $(n,b)$ and having at most one limit cycle. Assume that the limit cycle disappears at some homoclinic (or heteroclinic) connection when $\Phi(n,b)=0.$ We present a method that allows to ...
Andronov A A +12 more
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Landscapes of Non-gradient Dynamics Without Detailed Balance: Stable Limit Cycles and Multiple Attractors [PDF]
, 2012 Landscape is one of the key notions in literature on biological processes and physics of complex systems with both deterministic and stochastic dynamics.
Ge, Hao, Qian, Hong
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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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Non-algebraic oscillations for predator-prey models [PDF]
, 2014 We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non ...
Ferragut, Antoni +1 more
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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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