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dr hab. Grzegorz Graff
Employment
- Profesor uczelni at Department of Differential Equations and Mathematical Applications
- Head of Department at Department of Differential Equations and Mathematical Applications
Social media
Contact
- graff@mif.pg.gda.pl
Profesor uczelni
- Department of Differential Equations and Mathematical Applications
- Faculty of Applied Physics and Mathematics
- Workplace
- Gmach B pokój 610
- Phone
- (58) 347 22 49
Head of Department
- Workplace
- Gmach B pokój 504
- Phone
- (58) 347 22 62
Publication showcase
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Ordinal pattern statistics for the assessment of heart rate variability
The recognition of all main features of a healthy heart rhythm (the so-called sinus rhythm) is still one of the biggest challenges in contemporary cardiology. Recently the interesting physiological phenomenon of heart rate asymmetry has been observed. This phenomenon is related to unbalanced contributions of heart rate decelerations and accelerations to heart rate variability. In this paper we apply methods based on the concept...
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Fixed point indices of iterated smooth maps in arbitrary dimension
We give a complete description of possible sequences ofindices of iterations of f at an isolated fixed point, answering inaffirmative the Chow, Mallet-Paret and Yorke conjecture posed in[S.N. Chow, J. Mallet-Parret, J.A. Yorke, A periodic point index whichis a bifurcation invariant, in: Geometric Dynamics, Rio de Janeiro,1981, in: Lecture Notes in Math., vol. 1007, Springer, Berlin, 1983,pp. 109-131].
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Minimizing the number of periodic points for smooth maps. Non-simply connected case
Niech f będzie gładkim odwzorowaniem zamkniętej rozmaitości o wymiarze wiekszym niż 2, a r ustaloną liczbą naturalną. W artykule zdefiniowany został niezmiennik topologiczny równy minimalnej liczbie punktów r-periodycznych w gładkiej klasie homotopii f.
Obtained scientific degrees/titles
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2010-04-09
Obtained science degree
dr hab. Mathematics (Mathematics)Uniwersyteet Adama Mickiewicza
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