Journal papers

  1. S. Kaliszky, Gy. Popper, J. Lógó, Gy. Károlyi:
    Identification of bilinear material models of nonlinear beams on nonlinear foundation.
    Computer Assisted Mechanics and Engineering Sciences
    3 (1996) 45-53.

  2. Gy. Popper, Gy. Károlyi:
    Solving systems of polynomial equations using Gröbner basis calculations with applications to mechanics.
    Acta Technica Academiae Scientiarum Hungaricae
    107 (1996) 109-114.

  3. Zs. Gáspár, Gy. Károlyi, Gy. Popper:
    Application of the Gröbner basis theory to find global equilibrium paths simple arch.
    Acta Technica Academiae Scientiarum Hungaricae
    107 (1996) 37-47.

  4. Z. Toroczkai, Gy. Károlyi, Á. Péntek, T. Tél, C. Grebogi, J. A. Yorke:
    Wada dye boundaries in open hydrodynamical flows.
    Physica A
    239 (1997) 235-243.
    Full text

  5. Gy. Károlyi, T. Tél:
    Chaotic tracer scattering and fractal basin boundaries in a blinking vortex-sink system.
    Physics Reports
    290 (1997) 125-147.
    Full text

  6. Gy. Károlyi, G.I.N. Rozvany:
    Exact analytical solutions for non-selfadjoint variable-topology shape optimization problems: perforated cantilever plates in plane stress subject to displacement constraints. Part I.
    Structural Optimization
    13 (1997) 119-127.
    Full text

  7. Z. Toroczkai, Gy. Károlyi, Á. Péntek, T. Tél, C. Grebogi:
    Advection of active particles in open chaotic flows.
    Physical Review Letters
    80 (1998) 500-503.
    Full text

  8. Gy. Károlyi, Á. Péntek, Z. Toroczkai, T. Tél, C. Grebogi:
    Chemical or biological activity in open chaotic flows.
    Physical Review E
    59 (1999) 5468-5481.
    Full text

  9. Gy. Károlyi, G. Domokos:
    Symbolic dynamics of infinite depth: finding global invariants for BVPs.
    Physica D
    134 (1999) 316-336.
    Full text

  10. Á. Péntek, Gy. Károlyi, I. Scheuring, T. Tél, Z. Toroczkai, J. Kadtke, C. Grebogi:
    Fractality, chaos, and reactions in imperfectly mixed open hydrodynamical flows..
    Physica A
    274 (1999) 120-131.
    Full text

  11. I. Scheuring, Gy. Károlyi, Á. Péntek, T. Tél, Z. Toroczkai:
    A model for resolving the plankton paradox: coexistence in open flows.
    Freshwater Biology
    45 (2000) 123-132.
    Full text

  12. T. Tél, Gy. Károlyi, Á. Péntek, I. Scheuring, Z. Toroczkai, C. Grebogi, J. Kadtke:
    Chaotic advection, diffusion, and reactions in open flows.
    Chaos
    10 (2000) 89-99.
    Full text

  13. Gy. Károlyi, Á. Péntek, I. Scheuring, T. Tél, Z. Toroczkai:
    Chaotic flow: the physics of species coexistence.
    Proceedings of the National Academy of Sciences
    97 (2000) 13661-13665.
    Full text

  14. Z. Toroczkai, Gy. Károlyi, Á. Péntek, T. Tél:
    Autocatalytic reactions in systems with hyperbolic mixing: exact results for the active baker map.
    Journal of Physics A: Mathematical and General
    34 (2001) 5215-5235.
    Full text

  15. Gy. Károlyi, I. Scheuring, T. Czárán:
    Metabolic network dynamics in open chaotic flow.
    Chaos
    12 (2002) 460-469.
    Full text

  16. I. Scheuring, Gy. Károlyi, Z. Toroczkai, T. Tél, Á. Péntek:
    Competing populations in flows with chaotic mixing.
    Theoretical Population Biology
    63 (2003) 77-90.
    Full text

  17. I. Scheuring, T. Czárán, P. Szabó, Gy. Károlyi, Z. Toroczkai:
    Spatial models of prebiotic evolution: Soup before pizza?
    Origins of Life and Evolution of the Biosphere
    33 (2003) 319-355.
    Full text

  18. E. Kapsza, Gy. Károlyi, S. Kovács, G. Domokos:
    Regular and random patterns in complex bifurcation diagrams.
    Discrete and Continuous Dynamical Systems B
    3 (2003) 519-540.
    Full text

  19. Gy. Károlyi, T. Tél, A.P.S. de Moura, C. Grebogi:
    Reactive particles in random flows.
    Physical Review Letters
    92 (2004) 174101/1-4.
    Full text

  20. Gy. Károlyi:
    Fractal scaling of microbial colonies affects growth.
    Physical Review E
    71 (2005) 031915/1-6.
    Full text

  21. T. Tél, A.P.S. de Moura, C. Grebogi, Gy. Károlyi:
    Chemical and biological activity in open flows: A dynamical system approach.
    Physics Reports
    413 (2005) 91-196.
    Full text

  22. Gy. Károlyi, Z. Neufeld, I. Scheuring:
    Rock-scissors-paper game in a chaotic flow: The effect of dispersion on the cyclic competition of microorganisms.
    Journal of Theoretical Biology
    236 (2005) 12-20.
    Full text

  23. A. Goriely, Gy. Károlyi, M. Tabor:
    Growth induced curve dynamics for filamentary micro-organisms.
    Journal of Mathematical Biology
    51 (2005) 355-366.
    Full text

  24. Gy. Károlyi, T. Tél:
    Chemical transients in closed chaotic flows: The role of effective dimensions.
    Physical Review Letters
    95 (2005) 264501/1–4.
    Full text

  25. A. Kocsis, Gy. Károlyi:
    Buckling under nonconservative load: Conservative spatial chaos.
    Periodica Polytechnica
    49 (2005) 85-98.
    Full text

  26. A. Kocsis, Gy. Károlyi:
    Conservative spatial chaos of buckled elastic linkages.
    Chaos
    16 (2006) 033111/1-7.
    Full text

  27. I.J. Benczik, Gy. Károlyi, I. Scheuring, T. Tél:
    Coexistence of inertial competitors in chaotic flows.
    Chaos
    16 (2006) 043110/1-8.
    Full text

  28. Gy. Károlyi, T. Tél:
    Effective dimensions and chemical reactions in fluid flows.
    Physical Review E
    76 (2007) 046315/1-10.
    Full text

  29. J.J.B. Biemond, A.P.S. de Moura, Gy. Károlyi, C. Grebogi, H. Nijmeijer:
    Onset of chaotic advection in open flows.
    Physical Review E
    78 (2008) 016317/1-5.
    Full text

  30. A.B. Schelin, Gy. Károlyi, A.P.S. de Moura, N.A. Booth, C. Grebogi:
    Chaotic advection in blood flow.
    Physical Review E
    80 (2009) 016213/1–7.
    Full text

  31. A. Bibó, Gy. Károlyi, T. Bódai:
    Fly-wheel model exhibits the hither and thither motion of a bouncing ball.
    International Journal of Non-Linear Mechanics
    44 (2009) 905-912.
    Full text

  32. A.B. Schelin, Gy. Károlyi, A.P.S. De Moura, N.A. Booth, C. Grebogi:
    Fractal structures in stenoses and aneurysms in blood vessels.
    Philosophical Transactions of the Royal Society of London A
    368 (2010) 5605-5617.
    Full text

  33. Gy. Károlyi, M. Pattantyús-Ábrahám, T. Krámer, J. Józsa, T. Tél:
    Finite-size Lyapunov exponents: A new tool for lake dynamics.
    Proceedings of the ICE – Engineering and Computational Mechanics
    163 (2010) 251-259.
    Full text

  34. A. Bibó, Gy. Károlyi:
    Spatial and temporal separation in overdamped systems.
    Periodica Polytechnica Series Civil Engineering
    54 (2010) 89-94.
    Full text

  35. A. Kocsis, R.K. Németh, Gy. Károlyi:
    Spatially chaotic bifurcations of an elastic web of links.
    International Journal of Bifurcation and Chaos
    20 (2010) 4011-4028.
    Full text

  36. T. Bódai, Gy. Károlyi, T. Tél:
    Fractal snapshot components in chaos induced by strong noise.
    Physical Review E
    83 (2011) 046201/1-9.
    Full text

  37. T. Bódai, Gy. Károlyi, T. Tél:
    A chaotically driven model climate: extreme events and snapshot attractors.
    Nonlinear Processes in Geophysics
    18 (2011) 573-580.
    Full text

  38. A.B. Schelin, Gy. Károlyi, A.P.S. de Moura, N. Booth, C. Grebogi:
    Are the fractal skeletons the explanation for the narrowing of arteries due to cell trapping in a disturbed blood flow?
    Computers in Biology and Medicine
    42 (2012) 276-281.
    Full text

  39. O.K. Ajibose, M. Wiercigroch, E. Pavlovskaia, A.R. Akisanya, Gy. Károlyi:
    Drifting impact oscillator with a new model of the progression phase.
    Journal of Applied Mechanics – Transactions of the ASME
    79 (2012) 061007/1-9.
    Full text

  40. T. Bódai, Gy. Károlyi, T. Tél:
    Driving a conceptual model climate by different processes: Snapshot attractors and extreme events.
    Physical Review E
    87 (2013) 022822/1-10.
    Full text

  41. A. Bibó, M. Kovács, Gy. Károlyi:
    Overdamped mechanical model of myosin II.
    Periodica Polytechnica Series Civil Engineering
    57 (2013) 11-19.
    Full text

  42. A.E. Motter, M. Gruiz, Gy. Károlyi, T. Tél:
    Doubly transient chaos: Generic form of chaos in autonomous dissipative systems.
    Physical Review Letters
    111 (2013) 194101/1-5.
    Full text

  43. G. Závodszky, Gy. Károlyi, Gy. Paál:
    Emerging fractal patterns in a real 3D cerebral aneurysm.
    Journal of Theoretical Biology
    368 (2015) 95-101.
    Full text

  44. Z. Ábrahám, Gy. Károlyi:
    Stress-free layers in photoinduced deformations of photoelastomer beams.
    International Journal of Non-Linear Mechanics
    70 (2015) 126-133.
    Full text

  45. L.E. Laczák, Gy. Károlyi:
    Local effects of impact into concrete structure.
    Periodica Polytechnica Series Civil Engineering
    60 (2016) 573-582.
    Full text

  46. L.E. Laczák, Gy. Károlyi:
    On the impact of a rigid-plastic missile into rigid or elastic target.
    International Journal of Non-Linear Mechanics
    91 (2017) 1-7.
    Full text

  47. A. Kocsis, N. Challamel, Gy. Károlyi:
    Discrete and nonlocal models of Engesser and Haringx elastica.
    International Journal of Mechanical Sciences
    130 (2017) 571-585.
    Full text

  48. A. Bibó, Gy. Károlyi, M. Kovács:
    Unrevealed part of myosin’s powerstroke accounts for high efficiency of muscle contraction.
    Biochimica et Biophysica Acta (BBA) – General Subjects
    1861 (2017) 2325-2333.
    Full text
  49. Gy. Károlyi, R.D. Prokaj, I. Scheuring, T. Tél:
    Climate change in a conceptual atmosphere-phytoplankton model.
    Earth System Dynamics
    11 (2020) 603-615.
    Full text