Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Gomide, Otávio M. L."'
In this work we establish a well defined theory of 'orbit spaces' for nonsmooth vector fields (NSVF). This approach is inspired from the techniques already used in the study of endomorphism, namely inverse limit analysis. We then apply the constructi
Externí odkaz:
http://arxiv.org/abs/2310.13804
Families of breathers have been found for certain integrable PDEs but are believed to be rare in non-integrable ones such as nonlinear Klein-Gordon equations. In this paper we consider small breathers for semilinear Klein-Gordon equations with analyt
Externí odkaz:
http://arxiv.org/abs/2107.14566
This work is devoted to the study of global connections between typical generic singularities, named $T$-singularities, in piecewise smooth dynamical systems. Such a singularity presents the so-called nonsmooth diabolo, which consists on a pair of in
Externí odkaz:
http://arxiv.org/abs/2004.10829
In this work a homoclinic-like loop of a piecewise smooth vector field passing through a typical singularity is analyzed. We have shown that such a loop is robust in one-parameter families of Filippov systems. The basin of attraction of this connecti
Externí odkaz:
http://arxiv.org/abs/1906.07814
Publikováno v:
Nonlinear Analysis: Hybrid Systems, 2023
In this paper, we are concerned about the qualitative behavior of planar Filippov systems around some typical invariant sets, namely, polycycles. In the smooth context, a polycycle is a simple closed curve composed by a collection of singularities an
Externí odkaz:
http://arxiv.org/abs/1905.11950
In this work we study a model of interaction of kinks of the sine-Gordon equation with a weak defect. We obtain rigorous results concerning the so-called critical velocity derived in [7] by a geometric approach. More specifically, we prove that a het
Externí odkaz:
http://arxiv.org/abs/1811.03699
The main purpose of this work is to provide a non-local approach to study aspects of structural stability of 3D Filippov systems. We introduce a notion of semi-local structural stability which detects when a piecewise smooth vector field is robust ar
Externí odkaz:
http://arxiv.org/abs/1708.05989
The aim of this paper is to provide a discussion on current directions of research involving typical singularities of 3D nonsmooth vector fields. A brief survey of known results is presented. The main purpose of this work is to describe the dynamical
Externí odkaz:
http://arxiv.org/abs/1702.00613
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