Computer analysis of periodic orbits of discontinuous vector fields

DOI10.1016/S0747-7171(03)00015-4zbMath1028.37016MaRDI QIDQ1404421

Marco Antonio Teixeira, Alain Jacquemard

Publication date: 21 August 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

periodic orbitscomputer algebradiscontinuous vector fieldsengineering applications

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamics induced by flows and semiflows (37C10) Discontinuous ordinary differential equations (34A36) Periodic orbits of vector fields and flows (37C27) Approximation methods and numerical treatment of dynamical systems (37M99) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (4)

Coupled systems of non-smooth differential equations ⋮ PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY ⋮ Generic singularities of relay systems ⋮ Time switched differential equations and the Euler polynomials

Cites Work

• Stability of the equilibrium positions in relay systems
• Reversible normal forms of degenerate cusps for planar diffeomorphisms
• Theory of chattering control with applications to astronautics, robotics, economics, and engineering
• Symbolic solution of large stationary chemical kinetics problems
• Formal algorithms applied to the study of the cyclicity of a generic algebraic polycycle with four hyperbolic crests
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