2025
On Chaotic Sets of Solutions for a Class of Differential Inclusions in R2
VOLNÁ, BarboraBasic information
Original name
On Chaotic Sets of Solutions for a Class of Differential Inclusions in R2
Authors
Edition
Set-Valued and Variational Analysis, Dordrecht (Netherlands), Springer Nature B.V. 2025, 1877-0533
Other information
Language
English
Type of outcome
Article in a journal
Country of publisher
Netherlands
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.100 in 2024
Marked to be transferred to RIV
No
Organization unit
Mathematical Institute in Opava
UT WoS
001556862500001
EID Scopus
2-s2.0-105014150618
Keywords in English
Chaos; Differential inclusion; Dynamical system; R-action on set of solutions
Tags
International impact, Reviewed
Changed: 27/2/2026 15:40, Mgr. Aleš Ryšavý
Abstract
In the original language
We investigate a continuous multi-valued dynamical system in R2 of the form x˙∈F(x), where F(x) is a set-valued function and F={f1,f2}. Such dynamical systems have applications in various fields, such as mathematical economics. We accurately establish the sufficient conditions for a set of solutions to such a system to exhibit Devaney chaos, ω-chaos, and infinite topological entropy. Finally, we illustrate these issues with our macroeconomic model, and we highlight the broader applicability of the proposed framework to systems with regime switching.