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Computer analysis of periodic orbits of discontinuous vector fields

โœ Scribed by A Jacquemard; M.A Teixeira


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
374 KB
Volume
35
Category
Article
ISSN
0747-7171

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๐Ÿ“œ SIMILAR VOLUMES


On singularities of discontinuous vector
โœ Alain Jacquemard; Marco-Antonio Teixeira ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 232 KB

The subject of this paper concerns the classification of typical singularities of a class of discontinuous vector fields in 4D. The focus is on certain discontinuous systems having some symmetric properties.

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In this paper, we study planar differential systems possessing a center at the origin. We introduce functional conditions for centers and obtain sufficient conditions for monotonicity of period function and isochronicity of the center of systems of ODE reducible to the equation x). These criteria a