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Topological invariants and measures of complexity in action

2014/15/B/ST1/01710

Keywords

Descriptors

  • ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
  • ST1_6: Topologia
  • ST1_18: Zastosowania matematyki w innych naukach

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Politechnika Gdańska, Wydział Fizyki Technicznej i Matematyki Stosowanej

Voivodeship: pomorskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Grzegorz Piotr Graff

Number of co-investigators in the project: 5

Call

OPUS 8 – announced on 2014-09-15

Amount awarded
297 960 PLN
Project start date
2015-07-15
Project end date
2018-11-14
Project duration
40 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Nie planowano zakupu aparatury.

Information in the final report

Publication in academic press/journals (18)

  1. DETECTING COUPLING DIRECTIONS WITH TRANSCRIPT MUTUAL INFORMATION: A COMPARATIVE STUDY

    Authors:
    Jose M. Amigo, Beata Graff,Grzegorz Graff, Roberto Monetti, Katarzyna Tessmer
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (year: 2019, volume: 24 no. 8, pages: 4079–4097), Publisher: AMERICAN INSTITUTE OF MATHEMATICAL SCIENCES-AIMS,
    Status:
    Published
    DOI:
    10.3934/dcdsb.2019051 – link to the publication

  2. The least number of 2-periodic points of a smooth self-map of S^2 of degree 2 equals 2

    Authors:
    Jerzy Jezierski
    Academic press:
    Journal of Fixed Point Theory and Applications (year: 2019, volume: 21 no. 1, pages: Art 14, 13pp), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-018-0651-1 – link to the publication

  3. Integrate-and-fire models with an almost periodic input function

    Authors:
    Piotr Kasprzak, Adam Nawrocki, Justyna Signerska-Rynkowska
    Academic press:
    Journal of Differential Equations (year: 2018, volume: 264, pages: 2495–2537), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.10.025 – link to the publication

  4. Analysis of interspike-intervals for the general class of integrate-and-fire models with periodic drive

    Authors:
    Justyna Signerska-Rynkowska
    Academic press:
    Mathematical Modelling And Analysis (year: 2015, volume: 20, pages: 529-551), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.3846/13926292.2015.1085459 – link to the publication

  5. FIXED POINT INDICES OF ITERATES OF A LOW-DIMENSIONAL DIFFEOMORPHISM AT A FIXED POINT WHICH IS AN ISOLATED INVARIANT SET

    Authors:
    Grzegorz Graff
    Academic press:
    Archiv der Mathematik (year: 2018, volume: 110 no 6, pages: 617–627), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-018-1180-2 – link to the publication

  6. Periodic Points for Sphere Maps Preserving Monopole Foliations

    Authors:
    Grzegorz Graff, Michał Misiurewicz, Piotr Nowak-Przygodzki
    Academic press:
    Qualitative Theory of Dynamical Systems (year: 2019, volume: 18 no. 2, pages: 533-546), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s12346-018-0298-8 – link to the publication

  7. A sufficient condition for the realizability of the least number of periodic points of a smooth map

    Authors:
    Jerzy Jezierski
    Academic press:
    Journal of Fixed Point Theory and Applications (year: 2016, volume: 18, pages: 609–626), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-016-0311-2 – link to the publication

  8. Computing algebraic transfer entropy and coupling directions via transcripts

    Authors:
    José M. Amigó, Roberto Monetti, Beata Graff, Grzegorz Graff
    Academic press:
    Chaos (year: 2016, volume: 11, pages: 1-12 nr id. 113115), Publisher: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4967803 – link to the publication

  9. Periodic points of latitudinal maps of the $m$-dimensional sphere

    Authors:
    Grzegorz Graff, Michał Misiurewicz, Piotr Nowak-Przygodzki
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (year: 2016, volume: 36 (11), pages: 6187 - 6199), Publisher: American Insitute of mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2016070 – link to the publication

  10. Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds

    Authors:
    Grzegorz Graff, Jerzy Jezierski
    Academic press:
    Geometria Dedicata (year: 2017, volume: 187 no 1, pages: 241–258), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-016-0199-4 – link to the publication

  11. Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations

    Authors:
    Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul, Alexandre Vidal
    Academic press:
    Discrete and Continuous Dynamical System - B (year: 2017, volume: 22 no 10, pages: 4003-4039), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2017205 – link to the publication

  12. Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike-adding and chaos

    Authors:
    Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul, Alexandre Vidal
    Academic press:
    Discrete and Continuous Dynamical System - B (year: 2017, volume: 22 no 10, pages: 3967-4002), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2017204 – link to the publication

  13. Self-maps of S^2 homotopic to a smooth map with a single n-periodic point

    Authors:
    Jerzy Jezierski
    Academic press:
    Acta Mathematica Sinica (year: 2017, volume: 33 no 8, pages: 1073–1082), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10114-017-6120-8 – link to the publication

  14. SHUB'S CONJECTURE FOR SMOOTH LONGITUDINAL MAPS OF S^m

    Authors:
    GRZEGORZ GRAFF, MICHAŁ MISIUREWICZ, PIOTR NOWAK-PRZYGODZKI
    Academic press:
    Journal of Difference Equations and Applications (year: 2018, volume: 24 no 7, pages: 1044–1054), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2018.1449840 – link to the publication

  15. When a smooth self-map of a semi-simple Lie group can realize the least number of periodic points

    Authors:
    Jerzy Jezierski
    Academic press:
    SCIENCE CHINA Mathematics (year: 2017, volume: 60 no 9, pages: 1579–1590), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11425-016-9099-9 – link to the publication

  16. DYNAMICS OF FIELD LINE MAPPINGS IN MAGNETIC FLUX TUBES

    Authors:
    Grzegorz Graff, Justyna Rynkowska-Signerska
    Academic press:
    Mathematical Physics, Analysis and Geometry (year: 2018, volume: 21 no. 3,, pages: Art. 26, 18pp), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11040-018-9284-2. – link to the publication

  17. Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms

    Authors:
    Grzegorz Graff, Małgorzata Lebiedź, Adrian Myszkowski
    Academic press:
    Journal of Fixed Point Theory and Applications (year: 2019, volume: 21 no. 2, pages: Art 47, 21pp), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-019-0680-4 – link to the publication

  18. GENERATING SEQUENCES OF LEFSCHETZ NUMBERS OF ITERATES

    Authors:
    GRZEGORZ GRAFF, MAŁGORZATA LEBIEDŹ, PIOTR NOWAK-PRZYGODZKI
    Academic press:
    Monatshefte für Mathematik (year: 2019, volume: 188 no. 3, pages: 511-525), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00605-018-1193-8 – link to the publication

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