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Weak shadowing for discrete dynamical systems on nonsmooth manifolds

โœ Scribed by Marcin Mazur

Book ID
108345263
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
80 KB
Volume
281
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

On manifolds of connecting orbits in dis
On manifolds of connecting orbits in discretizations of dynamical systems
โœ Y.-K. Zou; W.-J. Beyn ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 267 KB

It is shown that one-step methods, when applied to a one-parametric dynamical system with a homoclinic orbit, exhibit a closed loop of discrete homoclinic orbits. On this loop, the parameter varies periodically while the orbit shifts its index after one revolution. We show that at least two homoclin