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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 ...
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 ...
Characteristic Point Sequences in Local and Global Bifurcation Analysis of Filippov Systems
(World Scientific and Engineering Academy and Society (WSEAS) Press, 2008-10-01)
Bifurcations and Sequences of Elements in Non-Smooth Systems Cycles
(Scientific Research Publishing, 2013-09)
This article describes the implementation of a novel method for detection and continuation of bifurcations in non- smooth complex dynamic systems -- The method is an alternative to existing ones for the follow-up of ...
Topological classification of limit cycles of piecewise smooth dynamical systems and its associated Non-Standard Bifurcations
(Multidisciplinary Digital Publishing Institute (MDPI), 2014-04-01)
In this paper, we propose a novel strategy for the synthesis and the classification of nonsmooth limit cycles and its bifurcations (named Non-Standard Bifurcations or Discontinuity Induced Bifurcations or DIBs) in n-dimensional ...