On continuous approximation of discontinuous systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 62, Issue 7, 2005, Pages 1317-1331

  Awrejcewicz, Jan ^a   Fečkan, Michal ^b   Olejnik, Pawel ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b Faculty of Natural Sciences   (Slovakia)

Author keywords

Discontinuous systems; Periodic orbits; Singular perturbations

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

DIRICHLET TYPE; DISCONTINUOUS SYSTEMS; PERIODIC ORBITS; SINGULAR PERTURBATIONS;

THEOREM PROVING;

EID: 22344452898     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.033     Document Type: Article

References (11)

1. J. Awrejcewicz, and J. Delfs Dynamics of a self-excited stick-slip oscillator with two degrees of freedom, Part I: Investigation of equilibria European J. Mech. A/Solids 9 4 1990 269 282
2. J. Awrejcewicz, and J. Delfs Dynamics of a self-excited stick-slip oscillator with two degrees of freedom, Part II: Slip-stick, slip-slip, stick-slip transitions, periodic and chaotic orbits European J. Mech. A/Solids 9 5 1990 397 418
3. J. Awrejcewicz, and C.-H. Lamarque Bifurcation and Chaos in Nonsmooth Mechanical Systems 2003 World Scientific Singapore
4. J. Awrejcewicz, and P. Olejnik Stick-slip dynamics of a two-degree-of-freedom system Int. J. Bifurcat. Chaos 13 4 2003 843 861
5. B. Brogliato Nonsmooth Mechanics 1999 Springer London
6. L. Cesari Asymptotic Behavior and Stability Problems in Ordinary Differential Equations 1959 Springer Berlin
7. K. Deimling Multivalued Differential Equations 1992 Walter de Gruyter Berlin
8. M. Farkas, Periodic motions, Applied Mathematical Sciences, vol. 104, Springer, New York, 1994.
9. A.F. Filippov Differential equations with discontinuous right-hand side, Mathematical Applications 1988 Kluwer Dordrecht
10. R.I. Leine, D.H. van Campen, B.L. van de Vrande, Bifurcations in nonlinear discontinuous systems, Nonlinear Dynam. 23 (2000) 105-164.
11. A.B. Vasileva, and V.F. Butuzov Asymptotic Expansion of Solutions of Singularly Perturbed Equations 1973 Nauka Moscow (in Russian)