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Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in R3: A case study in power electronics
(2017-05-15)
In this paper, Hopf and homoclinic bifurcations that occur in the sliding vector field of switching systems in R3 are studied. In particular, a dc–dc boost converter with sliding mode control and washout filter is analyzed. ...
Integration-Free analysis of nonsmooth local dynamics in planar filippov systems
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2009-03-01)
In this paper, we present a novel method to analyze the behavior of discontinuous piecewise-smooth autonomous systems (denominated Filippov systems) in the planar neighborhood of the discontinuity boundary (DB). The method ...
LOCALIZATION OF SLIDING BIFURCATIONS IN A ROTATIONAL OSCILLATOR WITH DOUBLE CAM
(UNIV NAC COLOMBIA, FAC NAC MINAS, 2011-06-01)
In this work, nonsmooth and non-conventional bifurcations, also called sliding bifurcations are analyzed in a system with multiple discontinuity boundaries. The singular point tracking (SPT) method is used to locate ...
Generic bifurcations of low codimension of planar Filippov Systems
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
Slow–fast systems and sliding on codimension 2 switching manifolds
(2019-01-01)
In this work, we consider piecewise smooth vector fields X defined in R n \ ∑, where Σ is a self-intersecting switching manifold. A double regularization of X is a 2-parameter family of smooth vector fields X ε.η , ε,η > ...
Codimension two singularities of sliding vector fields
(Societe Mathematique BelgiqueBrusselsBélgica, 1999)
Analyzing sliding bifurcations on discontinuity boundary of Filippov systems
(WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2008-01-01)
In this paper, we propose a novel method to analyze sliding bifurcations in discontinuous piecewise smooth autonomous systems (denominated Filippov systems) on the planar neighborhood of the discontinuity boundary (DB). ...
Piecewise linear differential systems with two real saddles
(Elsevier Science BvAmsterdamHolanda, 2014)
Phenomena and characterization of grazing-sliding bifurcations in aeroelastic systems with discontinuous impact effects
(2015-12-08)
Impacts are present in real aircraft movable surfaces, such as ailerons, flaps, rudder, elevators, trim tabs among other secondary control surfaces leading to complex, dangerous, and abrupt transitions. In this research ...
Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
(2018-12-01)
This paper is devoted to exhibit canonical forms for 2D codimension one piecewise smooth vector fields. All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize ...