Book
- J. Strzalko, J. Grabski, P. Perlikowski, A. Stefanski and T. Kapitaniak,
"Dynamics of Gambling: Origins of Randomness in Mechanical Systems", Series: Lecture Notes in Physics , Vol. 792 , Springer, ISBN: 978-3-642-03959-1 (2010)
Patents
Special Issues
Publications in Refereed Journals
- K. Mnich and P. Perlikowski: "The optimization of the TMDI for efficient mitigation of the vibration", Bulletin of the Polish Academy of Sciences: Technical Sciences Accepted for publication
- M. B. Fotovat, T. Kubiak, P. Perlikowski, "Mixed mode nonlinear response of rectangular plates under static and dynamic compression", Thin-Walled Structures, Accepted for publication
- T. Kubiak, L. Borkowski, P. Perlikowski, "Some aspects of dynamic buckling and dynamic response of thin plate under in-plane compression", Thin-Walled Structures, 182, Part B, 110294 (2023) T-WS
- M. Leszczynski, P. Perlikowski, T. Burzynski, T. Kowalski, P. Brzeski, "Review of sampled-based methods used in an analysis of a multistable dynamical systems", Chaos, 32, 082101 (2022) PDF, Chaos
- M. Lazarek, P. Brzeski and P. Perlikowski: "Modeling dynamics of a planetary variator applied in the adaptive TMDVI", International Journal of Mechanical Sciences, 231, 107487 (2022) IJMS
- T. Burzynski, P. Perlikowski, M. Balcerzak, P. Brzeski: "Dynamics loading by swinging bells - experimental and numerical investigation of the novel yoke-bell-clapper system with variable geometry", Mechanical Systems and Signal Processing 180, 109429 (2022) MSSP
- K. Mnich, M. Lazarek, A. Stefanski and P. Perlikowski: "Identification of friction in inerter with constant and variable inertance", Meccanica 57(8), 1955-1973 (2022) Meccanica
- S Biswas, A Rounak, P Perlikowski, S Gupta: "Characterising stochastic fixed points and limit cycles for dynamical systems with additive noise", Communications in Nonlinear Science and Numerical Simulation 101, 105870 (2021). CNSNS
- Y. Liu, J. Páez Chávez, P. Brzeski, P. Perlikowski: "Dynamical response of a rocking rigid block", Chaos: An Interdisciplinary Journal of Nonlinear Science 31(7), 073136 (2021). Chaos
- P. Brzeski M. Lazarek and P. Perlikowski: "Influence of Variable Damping Coefficient on Efficiency of TMD with Inerter", Energies 13(23), 6175 (2020). Energies
- M. Lazarek, J. Grabski and P. Perlikowski: "Derivation of a pitch angle value for the motorcycle", European Physical Journal - Special Topics 229, 2225-2238 (2020). EPJ ST
- K. Mnich, M. Lazarek. P. Brzeski and P. Perlikowski: "Experimental investigation and modeling of nonlinear, adaptive dashpot", Meccanica 55, 2599-2608(2020). Meccanica
- M. Lazarek. P. Brzeski, W. Solecki and P. Perlikowski: "Detection and classification of solutions for systems interacting by soft impacts using sample-based method", International Journal Bifurcation and Chaos 30(6), 2050079 (2020). Electronic version of an article in International Journal Bifurcation and Chaos © [copyright World Scientific Publishing Company] PDF, IJBC
- P. Brzeski and P. Perlikowski: "Sample-based methods of analysis for multistable dynamical systems", Archives of Computational Methods in Engineering 26(5), 1515-1545 (2019). Preprint PDF
- M. Lazarek, P. Brzeski and P. Perlikowski: "Design and modeling of the CVT for adjustable inerter", Journal of the Franklin Institute 356(14), 7611-7625 (2019) JFI
- P. Brzeski, J. Kurths and P. Perlikowski: "Time dependent stability margin in multistable systems", Chaos: An Interdisciplinary Journal of Nonlinear Science (2018). Preprint PDF
- A. Karmazyn, M. Balcerzak, P. Perlikowski, A. Stefanski: "Chaotic synchronization in a pair of pendulums attached to driven structure", International Journal of Non-Linear Mechanics, in press (2018).
NLM
- P. Brzeski, P. Belardinelli, S. Lenci, P. Perlikowski: "Revealing compactness of basins of attraction of multi-DoF dynamical systems",
Mechanical Systems and Signal Processing, 111, 348-361 (2018). MSSP, Preprint PDF
- N. V. Stankevich, A. Dvorak, V. Astakhov, P. Jaros, M. Kapitaniak, P. Perlikowski and T. Kapitaniak: "Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators", Regular and Chaotic Dynamics 23(1), 120-126 (2018). RCD.
- P. Brzeski, A.S.E. Chong, M. Wiercigroch, P. Perlikowski: "Impact adding bifurcation in an autonomous hybrid dynamical model of church bell", Mechanical Systems and Signal Processing 104, 716-724 (2018).MSSP, preprint PDF.
- M. Lazarek, P. Brzeski and P. Perlikowski: "Design and identification of parameters of tuned mass damper with inerter which enables changes of inertance", Mechanism and Machine Theory 119, 161-173 (2018). MMT, preprint PDF.
- P. Brzeski, J. Wojewoda, T. Kapitaniak, J. Kurths and P. Perlikowski: "Sample-based approach can outperform the classical dynamical analysis - experimental confirmation of the basin stability method", Nature Scientific Reports 7, 6121 (2017). NSR, PDF, Supplementary material.
- P. Brzeski, M. Lazarek, P. Perlikowski: "Experimental study of the novel tuned mass damper with inerter which enables changes of inertance", Journal of Sound and Vibration 404, 47-57 (2017). JSV, PDF, Movie 1 - avi, Movie 2 - avi.
- M. Marszal, B. Witkowski, K. Jankowski, P. Perlikowski, T. Kapitaniak: "Energy harvesting from pendulum oscillations",
International Journal of Non-Linear Mechanics 94, 251-256 (2017).
IJNM, PDF
- J. Páez Chávez, P. Brzeski, P. Perlikowski: "Bifurcation analysis of non-linear oscillators interacting via soft impacts",
International Journal of Non-Linear Mechanics, 92, 76-83 (2017)
IJNM, PDF
- A.S.E. Chong, P. Brzeski, M. Wiercigroch, P. Perlikowski: "Path-following bifurcation analysis of church bell dynamics", Journal of Computational and Nonlinear Dynamics, 12(6), 061017 (2017).
JCND.
- P. Brzeski, E. Pavlovskaia, T. Kapitaniak, P. Perlikowski: "Controlling multistability in coupled systems with soft impacts",
International Journal of Mechanical Sciences, 127, 118-129 (2017).
IJMS, PDF
- P. Brzeski, P. Perlikowski: "Effects of play and inerter nonlinearities on the performance of Tuned Mass Damper", Nonlinear Dynamics, 88, 1027-1041 (2017).
ND, PDF
- K. Kecik, P. Brzeski, P. Perlikowski: "Non-linear dynamics and optimization of a harvester absorber system",
International Journal of Structural Stability and Dynamics, 17, 1740001 (2017).
IJSSD
2016
- P. Brzeski, M. Lazarek, T. Kapitaniak, J. Kurths, P. Perlikowski: "Basin stability approach for quantifying responses of multistable systems with parameters mismatch",
Meccanica 51:2713-2726 (2016) Arxiv preprint
- P. Jaros, T. Kapitaniak, P. Perlikowski: "Multistability in nonlinearly coupled ring of Duffng systems", European Physical Journal - Special Topics 225, 262 3-2634 (2016).
- A. Dvorak, V. Astakhov, P. Perlikowski, T. Kapitaniak: "Nonlinear resonance and synchronization in the ring of unidirectionally coupled Toda oscillators", European Physical Journal - Special Topics 225, 263 5-2643 (2016) (EPJ ST).
- P. Brzeski, T. Kapitaniak, and P. Perlikowski: "The Use of Tuned Mass Absorber to Prevent Overturning of the Rigid Block During Earthquake", International Journal of Structural Stability and Dynamics 16, 1550075 (2016). IJSSD
- D. Dudkowski, J. Grabski, J. Wojewoda, P.Perlikowski, Y. Maistrenko, T. Kapitaniak: "Experimental multistable states for small network of coupled pendula", Scientific Reports 6:29833 (2016). Nature SR
- L. Borkowski, P. Perlikowski, T. Kapitaniak, A. Stefanski: "Experimental observation of three-frequency quasiperiodic solution in a ring of unidirectionally coupled oscillators", Phys. Rev. E 91, 062906 (2015). PRE, PDF
- P. Jaros, P. Perlikowski, T. Kapitaniak: "Synchronization and multistability in the ring of modified Rössler oscillators", The European Physical Journal Special Topics 224(8), 1541-1552 (2015). EPJ ST
- P. Brzeski, T. Kapitaniak, P. Perlikowski: "Analysis of transitions between different ringing schemes of the church bell", International Journal of Impact Engineering 85, 57-66 (2015). IE, PDF
- P. Brzeski, T. Kapitaniak, P. Perlikowski: "Novel type of tuned mass damper with inerter which enables changes of inertance", Journal of Sound and Vibration 349, 56-66 (2015). JSV, PDF
- S. Yanchuk, P. Perlikowski, M. Wolfrum, A. Stefanski and T. Kapitaniak: "Amplitude equations for collective spatio-temporal dynamics in arrays of coupled systems", Chaos: An Interdisciplinary Journal of Nonlinear Science 25, 033113 (2015). Chaos, PDF - preprint
- P. Brzeski, T. Kapitaniak, P. Perlikowski: "Experimental verification of a hybrid dynamical model of the church bell", International Journal of Impact Engineering 80, 177-184, (2015). IE, PDF
- K. Gach, O. Belkacemi, B. Lefranc, P. Perlikowski, J. Masson, M.-L. Walet-Balieu, J.-C. Do-Rego, L. Galas, D. Schapman, R. Lamtahri, M.-C. Tonon, D. Vaudry, J. Chuquet, J. Leprince.: "Detection, characterization and biological activities of [bisphospho-Thr3,9]ODN, an endogenous molecular form of odn released by astrocytes", Neuroscience 190, 472-484 (2015). Neuroscience, PDF
- P. Brzeski, E. Pavlovskaia, T. Kapitaniak, P. Perlikowski: "The application of inerter in tuned mass absorber", International Journal of Non-Linear Mechanics 70, 20-29 (2015) IJNLM PDF
- P. Koluda, P. Brzeski, P. Perlikowski: "Dynamics of n coupled double pendula suspended to the moving beam", International Journal of Structural Stability and Dynamics 14, 1440028 (2014). IJSSD
- M. Marszal, K. Jankowski, P. Perlikowski, T. Kapitaniak: "Bifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation", Mathematical Problems in Engineering Volume 2014 (2014). MPE, PDF - preprint
- M. Kapitaniak, K. Czolczynski, P. Perlikowski, A. Stefanski, T. Kapitaniak: "Synchronous states of slowly rotating pendula", Physics Reports 541(1) (2014). PR, PDF - preprint
- M. Kapitaniak, M. Lazarek, M. Nielaczny, K. Czolczynski, P. Perlikowski, T. Kapitaniak: "Synchronization extends the life time of the desired behavior of globally coupled systems", Scientific Reports 4 (2014). PDF - preprint
- B. Witkowski, P. Perlikowski, A. Prasad,T. Kapitaniak: "The dynamics of co- and counter rotating coupled spherical pendulums", The European Physical Journal Special Topics 223(4) (2014). PDF - preprint
- P. Koluda, P. Perlikowski, K. Czolczynski, T. Kapitaniak: "Synchronization of two self-excited double pendula", The European Physical Journal Special Topics 223(4) (2014). PDF - preprint
- P. Koluda, P. Perlikowski, K. Czolczynski, T. Kapitaniak: "Synchronization configurations of two coupled double pendula ", Communications in Nonlinear Science and Numerical Simulation 19(4)(2014). CNSNS, PDF - preprint
- P. Brzeski, P. Perlikowski, T. Kapitaniak: "Numerical optimization of tuned mass absorbers attached to strongly nonlinear Duffing oscillator", Communications in Nonlinear Science and Numerical Simulation 19(1) (2014). CNSNS, Preprint
- A. Dvorak, P. Kuzma, P. Perlikowski, V. Astakhov, T. Kapitaniak: "Dynamics of three Toda oscillators with nonlinear unidirectional coupling", The European Physical Journal Special Topics 222 (2013) EPJ ST.
- S. Sabarathinam, K. Thamilmaran, L. Borkowski, P. Perlikowski, P. Brzeski, A. Stefanski, T. Kapitaniak: "Transient chaos in two coupled, dissipatively perturbed Hamiltonian Duffing oscillators", Communications in Nonlinear Science and Numerical Simulation 18(11) (2013) . CNSNS, Preprint
- M. Kapitaniak, P. Perlikowski and T. Kapitaniak: "Synchronous motion of two vertically excited planar elastic pendula", Communications in Nonlinear Science and Numerical Simulation 18(8) (2013) . CNSNS, Arxiv preprint
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of the self-excited pendula suspended on the vertically displacing beam", Communications in Nonlinear Science and Numerical Simulation 18(2) (2013). CNSNS, PDF
- P. Brzeski, A. Karmazyn, P. Perlikowski: "Synchronization of two forced double-well Duffing oscillators with attached pendulums", Journal of Theoretical and Applied Mechanics 51(3), (2013)
- P. Perlikowski, M. Kapitaniak, K. Czolczynski, A. Stefanski and T. Kapitaniak: "Chaos in coupled clocks", International Journal Bifurcation and Chaos 22(12) (2012). Electronic version of an article in International Journal Bifurcation and Chaos © [copyright World Scientific Publishing Company] IJBC, PDF
- M. Kapitaniak, P. Brzeski, K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization thresholds of coupled self-excited nonidentical pendula suspended on the vertically displacing beam", Progress of Theoretical Physics 128(6) 1141-1173(2012). PTP, PDF - postprint
- P. Brzeski, P. Perlikowski, S. Yanchuk and T. Kapitaniak: "The dynamics of the pendulum suspended on the forced Duffing oscillator", Journal of Sound and Vibration, 331(24) (2012), JSV, Arxiv preprint
- T. Kapitaniak, K. Czolczynski, P. Perlikowski and A. Stefanski: "Energy balance of two synchronized self-excited pendulums with different masses", Journal of Theoretical and Applied Mechanics, 50(3) (2012). PDF
- M. Kapitaniak, K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of clocks", Physics Reports 517(1-2) (2012). PR, PDF
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of pendula rotating in different directions", Communications in Nonlinear Science and Numerical Simulation 17(9) (2012). CNSNS, PDF - preprint
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of slowly rotating pendulums", International Journal Bifurcation and Chaos 22(5) (2012), Electronic version of an article in International Journal Bifurcation and Chaos © [copyright World Scientific Publishing Company] IJBC, PDF
- S. Yanchuk, P. Perlikowski, O. V. Popovych, P. A. Tass: "Variability of spatio-temporal patterns in non-homogeneous rings of spiking neurons", Chaos: An Interdisciplinary Journal of Nonlinear Science, 21, 047511 (2011). Chaos, PDF
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Why two clocks synchronize: Energy balance of the synchronized clocks", Chaos: An Interdisciplinary Journal of Nonlinear Science 21, 023129 (2011) Chaos, PDF
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Clustering of non-identical clocks", Progress of Theoretical Physics Vol.125, No. 3 (2011). PTP, PDF
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Huygens' odd sympathy experiment revisited", International Journal Bifurcation and Chaos 21(7) (2011). Electronic version of an article published as International Journal Bifurcation and Chaos 21(7) DOI No: 10.1142/S0218127411029628 © [copyright World Scientific Publishing Company] IJBC, PDF - postprint
- A. Chudzik, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Multistability and rare attractors in van der Pol - Duffing oscillator", International Journal Bifurcation and Chaos 21(7), 2011. Electronic version of an article published as International Journal Bifurcation and Chaos 21(7) DOI No: 10.1142/S0218127411029513 © [copyright World Scientific Publishing Company] IJBC, PDF - postprint
- P. Perlikowski, S. Yanchuk, P. A. Tass, O. V. Popovych: "Periodic patterns in a ring of delay-coupled oscillators", Physical Review E 82 (2010), PRE, PDF
- P. Perlikowski, A. Stefanski, T. Kapitaniak: "Discontinuous synchrony in an array of Van der Pol oscillators", International Journal of Non-Linear Mechanics 45(9) (2010), IJNLM, PDF
- J. Grabski, J. Strzalko, A. Stefanski, P. Perlikowski and T. Kapitaniak: "Understanding coin tossing", The Mathematical Intelligencer (2010), Math. Intelligencer. 32(4), PDF
- P. Perlikowski, S. Yanchuk, M. Wolfrum, A. Stefanski, P. Mosilek and T. Kapitaniak: "Routes to complex dynamics in a ring of unidirectionally coupled systems", Chaos: An Interdisciplinary Journal of Nonlinear Science , 20(1), (2010) Chaos, PDF
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Clustering of Huygens' clocks", Progress of Theoretical Physics Vol. 122, No. 4 , (2009) PTP, PDF
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Clustering and synchronization of n Huygens' clocks", Physica A 388 (2009). Physica A, PDF
- S. Yanchuk, P. Perlikowski: "Delay and Periodicity", Physical Review E 79 (2009). PRE, PDF
- J. Grabski, J. Strzalko, A. Stefanski, P. Perlikowski and T. Kapitaniak: "The Dynamics of Coin Tossing is Predictable", Physics Reports 469 (2008). PR, PDF
- K. Czolczynski, A. Stefanski, P. Perlikowski T. Kapitaniak: "Multistability and chaotic beating of Duffing oscillators suspended on an elastic structure", Journal Sound and Vibration 322, (2008). JSV, PDF
- P. Perlikowski, B. Jagiello, A. Stefanski, T. Kapitaniak: "Experimental observation of ragged synchronizability", Physical Review E 78 (2008). PRE, PDF
- P. Perlikowski, A. Stefanski, and T. Kapitaniak: "1:1 Mode locking and generalized synchronization in mechanical oscillators", Journal Sound and Vibration, 318 (2008). JSV, PDF
- P. Perlikowski, A. Stefanski, and T. Kapitaniak: "Comment on Synchronization in a ring of four mutually coupled van der Pol oscillators: Theory and experiment"", Physical Review E, 77, doi:048201 (2008). PRE, PDF
- P. Perlikowski: "Synchronization of mechanical oscillators excited kine- matically", Journal of Theoretical and Applied Mechanics, 48 (1), (2008).
- K. Czolczynski, A. Stefanski, P. Perlikowski and T. Kapitaniak: "Dynamics of an Array of Duffing Oscillators Suspended on Elastic Structure", Machine Dynamics Problems, 31(2), (2007).
- K. Czolczynski, T. Kapitaniak, P. Perlikowski and A. Stefanski: "Periodization of Duffing oscillators suspended on elastic structure: mechanical explanation", Chaos, Solitons and Fractals, 32 (2007). CSF, PDF
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of self-excited oscillators suspended on elastic structure", Chaos, Solitons and Fractals, 32 (2007). CSF, PDF
- A. Stefanski, P. Perlikowski, T. Kapitaniak: Ragged synchronizability of coupled oscillators. Physical Review E, 75, (2007). PRE, PDF
- P. Perlikowski, A. Stefanski: Synchronization of coupled mechanical oscillators, Mechanics and Mechanical Engineering, 10 (2006).
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Chapters in books
- P. Perlikowski, S. Yanchuk, M. Wolfrum, A. Stefanski, T. Kapitaniak Dynamics of a large ring of unidirectionally coupled Duffing oscillators. in IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, Eds. M. Wiercigroch and G. Rega (Springer, 2013), pp. 63-72.
- K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak, "Synchronization of Two Nonidentical Clocks: What Huygens was Able to Observe?", Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering Studies in Computational Intelligence Volume 459 (2013), Springer. Studies in Computational Intelligence
- J. Strzalko, J. Grabski, A. Stefanski, P. Perlikowski and T. Kapitaniak, "Dynamics of the coin tossing", Topics on Chaotic Systems, Selected Papers from CHAOS 2008 International Conference, World Scientific, (2009) World Scientific.
- P. Perlikowski, A. Stefanski and T. Kapitaniak, "Ragged Synchronizability of Coupled van der Pols Oscillators", Nonlinear Dyanamics, Narosa Publishing House, New Delhi, India , (2009), Narosa Publishing House
- P. Perlikowski, A. Stefanski and T. Kapitaniak, "Ragged Synchronizability and Clustering in a Network of Coupled Oscillators",Recent Advances in Nonlinear Dynamics and Synchronization (NDS-1) - Theory and Applications, Studies in Computational Intelligence, Vol. 254/2009, Springer Berlin / Heidelberg, (2009) Studies in Computational Intelligence
- K. Czolczynski, A. Stefanski, P. Perlikowski and T. Kapitaniak, "Periodization and synchronization of Duffng oscillators suspended on elastic beam", IUTAM, 2006, IUTAM Bookseries.