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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 ...
Detecting Sliding Areas in Three-Dimensional Filippov Systems using an Integration-Free Method
(WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2008-01-01)
In this paper, we detect sliding areas in three-dimensional (3D) Filippov systems using an integration-free method denominated Singular Point Tracking (SPT). Many physical applications in engineering can be modelled as ...
Characterizing points on discontinuity boundary of Filippov systems
(ACTA Press, 2008-01-01)
In this paper, we presented a basic methodology to understand the behavior of discontinuous piecewise smooth autonomous systems (denominated Filippov systems) in the planar neighborhood of the discontinuity boundary (DB). ...
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 ...
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). ...
Characteristic Point Sequences in Local and Global Bifurcation Analysis of Filippov Systems
(World Scientific and Engineering Academy and Society (WSEAS) Press, 2008-10-01)
SPTCont 1.0: A LabView Toolbox for Bifurcation Analysis of Filippov Systems
(WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2008-01-01)
In this paper, we report the development of LabView toolbox for bifurcation analysis of Filippov systems, which we are denominated SPTCont 1.0. This toolbox is included in the GAONDYSY software developed in language G for ...