Results 11 to 20 of about 1,292,705 (285)
Friction generated limit cycles [PDF]
IEEE Transactions on Control Systems Technology, 2001 This paper treats limit cycles caused by friction. The goal has been to explain phenomena that have been observed experimentally in mechatronic systems. Experiments have shown that oscillations of qualitatively different types can be obtained simply by changing controller specifications. Stiction is important in some cases but not in others.
Ohlsson, Henrik, Åström, Karl Johan
openaire +4 more sources
Limit cycles in mass-conserving deficiency-one mass-action systems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We present some simple mass-action systems with limit cycles that fall under the scope of the Deficiency-One Theorem. All the constructed examples are mass-conserving and their stoichiometric subspace is two-dimensional.
Balázs Boros, Josef Hofbauer
doaj +1 more source
Rational Limit Cycles on Abel Polynomial Equations
Mathematics, 2020 In this paper we deal with Abel equations of the form d y / d x = A 1 ( x ) y + A 2 ( x ) y 2 + A 3 ( x ) y 3 , where A 1 ( x ) , A 2 ( x ) and A 3 ( x ) are real polynomials and A 3 ≢ 0 .
Claudia Valls
doaj +1 more source
Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, 2023 In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides.
Belén García +3 more
doaj +1 more source
Limit Cycles of Lorenz System with Hopf Bifurcation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 We prove that near the bifurcation point unstable limit cycle arises from the Lorenz system. In the analysis, we use the method of local bifurcation theory, especially the center manifold and the normal form theorem. A computer algebra system using Maple
Azad Amen, Rizgar Salih
doaj +1 more source
Two Nested Limit Cycles in Two-Species Reactions
Mathematics, 2020 We search for limit cycles in the dynamical model of two-species chemical reactions that contain seven reaction rate coefficients as parameters and at least one third-order reaction step, that is, the induced kinetic differential equation of the reaction
Ilona Nagy +2 more
doaj +1 more source
Cheap complex limit cycles [PDF]
Nonlinearity, 2018 Consider a holomorphic foliation with singularities of a 2-dimensional complex manifold. In this article we prove a new sufficient condition for this foliation to have countably many homologically independent complex limit cycles. In particular, if all leaves of a foliation are dense in the phase space, and it has a complex hyperbolic singular point ...
N Goncharuk, Yu Kudryashov
openaire +2 more sources
Limit cycles of effective theories [PDF]
, 2006 A simple example is used to show that renormalization group limit cycles of effective quantum theories can be studied in a new way. The method is based on the similarity renormalization group procedure for Hamiltonians. The example contains a logarithmic
F. Wegner +6 more
core +2 more sources
LIMIT CYCLE AND CONSERVED DYNAMICS [PDF]
International Journal of Modern Physics B, 2006 We demonstrate here that the potential can coexist with limit cycle in nonlinear dissipative dynamics, where the potential plays the driving role for dynamics and determines the final steady state distribution in a manner similar to other situations in physics.
Zhu, X.-M., Yin, L., Ao, P.
openaire +2 more sources
Polynomial differential systems with hyperbolic algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2020 For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
doaj +1 more source