Periodic solutions of isotone hybrid systems
Copyright policy )Periodic solutions of isotone hybrid systems
Suggested by conversations in 1991 (Mark Krasnosel'skiĭ and Aleksei Pokrovskiĭ with TIS), this paper generalizes earlier work (Krasnosel'skiĭ-Pokrovskiĭ 1974) of theirs by defining a setting of hybrid systems with isotone switching rules for a partially ordered set of modes and then obtaining a periodicity result in that context. An application is given to a partial differential equation modeling calcium release and diffusion in cardiac cells.
- Leibniz Association Germany
- Weierstrass Institute Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
ddc:510, Periodic -- hybrid system -- discontinuous -- hysteresis -- isotone -- fixed point -- calcium waves, article, 34A38, discontinuous, Periodic, 34C55, calcium waves, 510, hysteresis, fixed point, 93C30, hybrid system, 34K34, isotone, 47J40
ddc:510, Periodic -- hybrid system -- discontinuous -- hysteresis -- isotone -- fixed point -- calcium waves, article, 34A38, discontinuous, Periodic, 34C55, calcium waves, 510, hysteresis, fixed point, 93C30, hybrid system, 34K34, isotone, 47J40
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