On flow switching bifurcations in discontinuous dynamical systems

Communications in Nonlinear Science and Numerical Simulation

Volumn 12, Issue 1, 2007, Pages 100-116

  Luo, Albert C J ^a  

^a SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

Author keywords

Discontinuous dynamic systems; Normal vector field product function; Sliding fragmentation; Switching bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; SET THEORY; SWITCHING FUNCTIONS; VECTORS;

DISCONTINUOUS DYNAMIC SYSTEMS; NORMAL VECTOR FIELD PRODUCT FUNCTION; SLIDING FRAGMENTATION; SWITCHING BIFURCATION;

DYNAMICS;

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; DYNAMICS; SET THEORY; SWITCHING FUNCTIONS; VECTORS;

EID: 33745249926     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2006.01.010     Document Type: Article

References (4)

1. Luo A.C.J. A theory for non-smooth dynamic systems on the connectable domains. Commun Nonlinear Sci Numer Simul 10 (2005) 1-55
2. Fillippov A.F. Differential equations with discontinuous righthand sides (1988), Kluwer Academic Publishers, Dordrecht
3. Aubin J.P., and Cellina A. Differential inclusions (1984), Springer-Verlag, Berlin
4. Luo ACJ, Gegg BC. An analytical prediction of sliding motions along discontinuous boundary in non-smooth dynamical systems. Nonlinear Dynam, in press.