Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems

Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems

In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of nonautonomous impulsive dynamical systems, as well as an example of nonautonomous dynamical system generated by an ODE in the real line to illustrate our results. Moreover, we presen...

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Veröffentlicht in:Journal of dynamics and differential equations 2021-03, Vol.33 (1), p.463-487
Hauptverfasser: Bonotto, E. M., Bortolan, M. C., Caraballo, T., Collegari, R.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Attractors (mathematics)
Chaos theory
Dynamical systems
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Zusammenfassung:In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of nonautonomous impulsive dynamical systems, as well as an example of nonautonomous dynamical system generated by an ODE in the real line to illustrate our results. Moreover, we present theoretical results regarding lower semicontinuity of impulsive cocycle attractors.
ISSN:1040-7294
1572-9222
DOI:10.1007/s10884-019-09815-5