Planar 2-homogeneous commutative rational vector fields
, 2018 In this paper we prove the following result: if two 2-dimensional 2-homogeneous rational vector fields commute, then either both vector fields can be explicitly integrated to produce rational flows with orbits being lines through the origin, or both ...
Alkauskas, Giedrius
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Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems [PDF]
, 2008 "The computation of Lyapunov quantities is closely connected with the important in engineering mechanics question of dynamical system behavior near to ""safe"" or ""dangerous"" boundary of the stability domain.
G. A. Leonov, N. V. Kuznetsov
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On the local and global phase portrait of the 1-dimensional complex equation $z{\dot}= f (z)$
, 2014 Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2014, Director: Ernest Fontich i Xavier JarqueThis work consists of studying the complex first order differential equation $z{\dot} = \dfrac{dz ...
Song, Jieyao
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Center problem for generalized Λ-Ω differential systems [PDF]
, 2018 The Λ-Ω differential systems are the real planar polynomial differential equations of degree m of the form ˙ x = −y(1 + Λ) + xΩ, ˙ y = x(1 + Λ) + yΩ, where Λ = Λ(x,y) and Ω = Ω(x,y) are polynomials of degree at most m−1 such that Λ(0,0) = Ω(0,0) = 0.
Llibre, Jaume +2 more
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Bifurcation of 2-periodic orbits from non-hyperbolic fixed points [PDF]
, 2017 PrepublicacióWe introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus.
Cima Mollet, Anna +2 more
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Lie series for celestial mechanics, accelerators, satellite stabilization and optimization [PDF]
Lie series applications to celestial mechanics, accelerators, satellite orbits, and ...
Cap, F. +6 more
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Sobre la inyectividad en espacios euclidianos [PDF]
, 2013 We describe some classical results on global injectivity of local dieomorphism on Euclidian spaces. This is not exhaustive, and it does not purport to be a complete history, it simply describes some useful results in injectivity. The first part describes
Rabanal, Roland
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Flat systems, equivalence and trajectory generation
, 2006 3rd cycleIntroduction : Control systems are ubiquitous in modern technology. The use of feedback control can be found in systems ranging from simple thermostats that regulate the temperature of a room, to digital engine controllers that govern the ...
Martin, Philippe +2 more
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Integrability, Recursion Operators and Soliton Interactions [PDF]
, 2014 This volume contains selected papers based on the talks,presented at the Conference "Integrability, Recursion Operators and Soliton Interactions", held in Sofia, Bulgaria (29 - 31 August 2012) at the Institute for Nuclear Research and Nuclear Energy of ...
Aneva, BL +3 more
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Characterization of the unfolding of a weak focus and modulus of analytic classification [PDF]
, 2010 La thèse présente une description géométrique d’un germe de famille générique déployant un champ de vecteurs réel analytique avec un foyer faible à l’origine et son complexifié : le feuilletage holomorphe singulier associé.
Arriagada Silva, Waldo G.
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