Array
DOI:
https://doi.org/10.12775/TMNA.2021.018Słowa kluczowe
ArrayAbstrakt
ArrayBibliografia
M. Benaim, J. Hofbauer and S. Sorin, Stochastic approximations and differential inclusions, SIAM J. Control Optim. 44 (2005), 328–348.
I.U. Bronstein and A.Ya. Kopanskiı̆, Chain recurrence in dynamical systems without uniqueness, Nonlinear Anal. 12 (1988), 147–154.
T. Caraballo and Y. Wang, Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems. Discrete Contin. Dyn. Syst. Ser. S. 13 (2020), 2303–2326.
C. Conley, Isolated Invariant Sets and the Morse Index, CBMS Reg. Conf. Ser. Math., vol. 38, 1978.
H.B. da Costa and J. Valero, Morse decompositions and Lyapunov functions for dynamically gradient multivalued semiflows, Nonlinear Dynam. 84 (2016), 19–34.
M. Di Bernardo, C.J. Budd, A.R. Champneys and P. Kowalczyk, Piecewise-Smooth Dynamical Systems Theory and Applications, Springer, 2008.
A.F. Filippov, Differential Equations with Discontinuous Righthand Sides, Kluwer Acad. Pub., 1988.
M.R. Jeffrey, Hidden dynamics in models of discontinuity and switching, Physica D 273 (2014), 34–45.
O.V. Kapustyan, P.O. Kasyanov and J. Valero, Chain recurrence and structure of ω-limit sets of multivalued semiflows, Commun. Pure Appl. Anal. 19 (2020), 2197–2217.
A.V. Kapustian and J. Valero, Attractors of multivalued semiflows generated by differential inclusions and their approximations, Abstr. Appl. Anal. 5 (2000), no. 1, 33–46.
D. Li, Morse decompositions for general dynamical systems and differential inclusions with applications to control systems. SIAM J. Control Optim. 46 (2007), 35–60.
R. McGehee, Non-unique Dynamical Systems, Midwest Dynamical Systems Conference. Minneapolis, Minnesota, 3 November, 2018.
V.S. Melnik and J. Valero, On attractors of multivalued semi-flows and differential inclusions. Set-Valued Anal. 6 (1998), 83–111.
K. Mischaikow, The Conley Index Theory: A Brief Introduction. Banach Center Publ. 47 (1999), 9–19.
K. Mischaikow and M. Mrozek, Conley Index Theory, Handbook of Dynamical Systems II: Towards Applications, (B. Fiedler, ed.) North-Holland, 2002.
M. Mrozek, A cohomological index of Conley type for multi-valued admissible flows, J. Differential Equations 84 (1990), 15–51.
E. Roxin, On generalized dynamical systems defined by contingent equations, J. Differential Equations 1 (1965), 188–205.
C. Thieme, Multiflows: A new technique for Filippov systems and differential inclusions, ArXiv (2019).
C. Thieme, Isolating neighborhoods and Filippov systems: extending Conley theory to differential inclusions, Topol. Methods Nonlinear Anal. (accepted).
P. Welander, A simple heat-salt oscillator, Dynamics of Atmospheres and Oceans 6 (1982), 233–242.
Pobrania
Opublikowane
Jak cytować
Numer
Dział
Licencja
Prawa autorskie (c) 2022 Array
Utwór dostępny jest na licencji Creative Commons Uznanie autorstwa – Bez utworów zależnych 4.0 Międzynarodowe.
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0
