Results 231 to 240 of about 101,257 (246)

Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations

Nonlinearity, 2006
We give a family of planar polynomial differential systems whose limit cycles can be explicitly described using polar coordinates. Moreover, we characterize the multiplicity of each one of the limit cycles whenever they exist. The given family of planar polynomial differential systems can have at most two limit cycles, counted with multiplicity.As an ...
Jaume Giné, Maite Grau
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Coexistence of algebraic and nonalgebraic limit cycles in Kukles systems

Periodica Mathematica Hungarica, 2008
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Sáez, Eduardo, Szántó, Iván
openaire   +2 more sources

Algebraical Limit Cycles of Polynomial Vector Fields on the Plane

Differential Equations, 2001
The existence of limit cycles of algebraic differential equations has been studied and their number has been estimated in numerous papers. In recent decades, much attention was paid to polynomial vector fields with invariant algebraic curves. The statement of the problem goes back to Darboux, Poincaré, and Erugin.
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Lie algebras and dynamic nonlinear systems containing limit cycles

International Journal of Theoretical Physics, 1977
Certain Lie algebras, represented as linear partial differential operators of first order, are used to derive autonomous systems of differential equations which involve limit cycles. To illustrate the approach an example is given.
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Homology for operator algebras. IV. On the regular classification of limits of 4-cycle algebras

1997
According with the terminology and notations from the research notes ``Limit algebras'' [Pitman Research Notes in Math. 278, London (1993)] of the second author, the subject of the present paper is related to the 4-cycle algebras, that is a CSL-algebra whose reduced digraph is a 4-cycle, and to the regular direct systems of 4-cycle algebras with rigid ...
Power, Stephen C., Donsig, A. P.
openaire   +1 more source

On the cubic Kukles systems with an algebraic limit cycle of degree two

Journal of Mathematical Analysis and Applications, 2023
Yulin Zhao
exaly  

Global stability at a limit cycle for switched multi‐valued logical networks

Asian Journal of Control, 2021
Pengfei Sun, Xudong Zhao, Tao Sun
exaly  

Classification of quadratic systems admitting the existence of an algebraic limit cycle

Bulletin Des Sciences Mathematiques, 2007
Jaume Llibre, Grzegorz Swirszcz
exaly  

Global stability at a limit cycle of switched Boolean networks under arbitrary switching signals

Neurocomputing, 2014
Fangfei Li
exaly  

Selective Determination of Floquet Quantities for the Efficient Assessment of Limit Cycle Stability and Oscillator Noise

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2013
Fabrizio Bonani
exaly