New methods for estimation of Lyapunov exponents in dynamical systems

2011/01/B/ST8/07527

Keywords

Descriptors

  • ST8_13: Inne zagadnienia pokrewne

Panel

ST8 – Production and processes engineering: modelling, product design, process design and control, construction methods and engineering, power units and systems

Host institution

Politechnika Łódzka, Wydział Mechaniczny

Voivodeship: łódzkie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Jerzy Leszek Wojewoda

Number of co-investigators in the project: 5

Call

OPUS 1 – announced on 2011-03-15

Amount awarded
421 500 PLN
Project start date
2011-12-21
Project end date
2014-12-20
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Komputer przenośny z oprogramowaniem. Cost: 5 000 PLN
  2. Stacja robocza HP z620 z monitorem i oprogramowaniem oraz komputer przenośny z oprogramowaniem. Cost: 15 431 PLN

Information in the final report

Publication in academic press/journals (2)

  1. Optimization of the Control System Parameters with Use of the New Simple Method of the Lyapunov Exponent Estimation

    Authors:
    Marek Balcerzak, Artur Dąbrowski, Tomasz Kapitaniak i Anna Jach
    Academic press:
    Mechanics and Mechanical Engineering (year: 2013, volume: 17 No. 4, pages: 225–239), Publisher: Lodz University of Technology
    Status:
    Published
    DOI:
    link to the publication
  2. The largest transversal Lyapunov exponent and master stability function from the perturbation vector and its derivative dot product (TLEVDP)

    Authors:
    Artur Dąbrowski
    Academic press:
    Nonlinear Dynamics (year: 2012, volume: 69(3), pages: 1225-1235), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-012-0342-1 – link to the publication

Articles in post-conference publications (2)

  1. ATTRIBUTES OF HYPERBOLIC ATTRACTORS IN NON-SMOOTH MECHANICAL OSCILLATORS

    Authors:
    Andrzej Stefanski, Jerzy Wojewoda, Agnieszka Chudzik, Tomasz Kapitaniak
    Conference:
    XXIII ICTAM, Beijing, China (year: 2012, pages: 46024), Publisher: ICTAM
    Date:
    conference 19-24 August 2012
    Status:
    Published
  2. ESTIMATION OF EFFECTIVE LYAPUNOV EXPONENTS IN SYSTEMS WITH NOISE AND FLUCTUATING PARAMETERS

    Authors:
    Andrzej Stefański
    Conference:
    DINAME 2013 - XV International Symposium on Dynamic Problems of Mechanics (year: 2013, pages: 7), Publisher: M.A. Savi (Editor), ABCM
    Date:
    conference Buzios, RJ, Brazil, February 17-22, 2013
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski