Dynamics of typical Baire-1 functions on a compact $${{\varvec{n}}}$$n-manifold
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DOI: 10.1007/s00010-019-00640-1
Abstract: Let M be a compact n-dimensional manifold with $$ bB_{1} $$bB1 the set of Baire-1 self-maps of M. For $$f\in bB_{1}$$f∈bB1, let $$\Omega (f)=\{\omega (x,f):x\in M\}$$Ω(f)={ω(x,f):x∈M} be the collection of $$\omega $$ω-limit sets generated by… read more here.
Keywords: manifold; omega limit; baire; lambda ... See more keywords
Non-genericity of initial data with punctual $$\omega $$-limit set
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DOI: 10.1007/s00013-019-01377-8
Abstract: We show the existence of a non-linear differential equation of gradient type for which the set of initial values for which the corresponding solution converges to a point is non-generic. read more here.
Keywords: non genericity; punctual omega; genericity initial; omega limit ... See more keywords
Omega-limit sets and robust stability for switched systems with distinct equilibria
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DOI: 10.1016/j.ifacol.2020.12.2515
Abstract: Abstract This work characterizes the asymptotic behavior that results from switching among asymptotically stable systems with distinct equilibria when the switching frequency satisfies an average dwell-time constraint with a small average rate. The asymptotic characterization… read more here.
Keywords: distinct equilibria; system; systems distinct; omega limit ... See more keywords