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49. A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization: A Universal Concept in Nonlinear
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50. M. Rasmussen, Finite-time attractivity and bifurcation for nonautonomous differential equations. Differ. Equ. Dynam Syst. 18(1), 57–78 (2010)
51. E. Schrödinger, What Is Life? (Cambridge University Press, Cambridge, 1944)
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interactions. IEEE Eng. Med. Biol. Mag. 26(6), 25–29 (2007)
53. A. Stefanovska, H. Haken, P.V.E. McClintock, M. Hožiˇ c, F. Bajrovi´ c, S. Ribariˇ c, Reversible
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55. S.H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, 2nd edn. (Westview Press, Boulder, 2014)
56. Y.F. Suprunenko, P.T. Clemson, A. Stefanovska, Chronotaxic systems: a new class of selfsustained nonautonomous oscillators. Phys. Rev. Lett. 111(2), 024101 (2013)
57. Y.F. Suprunenko, A. Stefanovska, Generalized chronotaxic systems: time-dependent oscillatory
dynamics stable under continuous perturbation. Phys. Rev. E 90(3), 32921 (2014)
58. R. Toenjes, B. Blasius, Perturbation analysis of complete synchronization in networks of phase
oscillators. Phys. Rev. E 80(2), 026202 (2009)
59. S. Watanabe, S.H. Strogatz, Integrability of a globally coupled oscillator array. Phys. Rev. Lett.
70(16), 2391 (1993)
60. S. Watanabe, S.H. Strogatz, Constants of motion for superconducting Josephson arrays. Phys.
D 74(3–4), 197–253 (1994)
61. A.T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators. J.
Theor. Biol. 16(1), 15 (1967)
M. Lucas et al.
43. A. Palmigiano, T. Geisel, F. Wolf, D. Battaglia, Flexible information routing by transient
synchrony. Nat. Neurosci. 28(3), 1–9 (2017)
44. Y. Park, G.B. Ermentrout, Weakly coupled oscillators in a slowly varying world. J. Comput.
Neurosci. 40(3), 269–281 (2016)
45. S. Petkoski, A. Stefanovska, The Kuramoto model with time-varying parameters. Phys. Rev.
E 86(4), 046212 (2012)
46. B. Pietras, A. Daffertshofer, Ott-Antonsen attractiveness for parameter-dependent oscillatory
systems. Chaos 26(10), 103101 (2016)
47. A.S. Pikovskii, Synchronization and stochastization of array of self-excited oscillators by external noise. Radiophys. Quantum Electron. 27(5), 390–395 (1984)
48. A. Pikovsky, A. Politi, Lyapunov Exponents: A Tool to Explore Complex Dynamics (Cambridge
University Press, Cambridge, UK, 2016)
49. A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization: A Universal Concept in Nonlinear
Sciences (Cambridge University Press, Cambridge, UK, 2003)
50. M. Rasmussen, Finite-time attractivity and bifurcation for nonautonomous differential equations. Differ. Equ. Dynam Syst. 18(1), 57–78 (2010)
51. E. Schrödinger, What Is Life? (Cambridge University Press, Cambridge, 1944)
52. A. Stefanovska, Coupled oscillators: complex but not complicated cardiovascular and brain
interactions. IEEE Eng. Med. Biol. Mag. 26(6), 25–29 (2007)
53. A. Stefanovska, H. Haken, P.V.E. McClintock, M. Hožiˇ c, F. Bajrovi´ c, S. Ribariˇ c, Reversible
transitions between synchronization states of the cardiorespiratory system. Phys. Rev. Lett.
85(22), 4831–4834 (2000)
54. S.H. Strogatz, Sync: The Emerging Science of Spontaneous Order (Penguin, UK, 2004)
55. S.H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, 2nd edn. (Westview Press, Boulder, 2014)
56. Y.F. Suprunenko, P.T. Clemson, A. Stefanovska, Chronotaxic systems: a new class of selfsustained nonautonomous oscillators. Phys. Rev. Lett. 111(2), 024101 (2013)
57. Y.F. Suprunenko, A. Stefanovska, Generalized chronotaxic systems: time-dependent oscillatory
dynamics stable under continuous perturbation. Phys. Rev. E 90(3), 32921 (2014)
58. R. Toenjes, B. Blasius, Perturbation analysis of complete synchronization in networks of phase
oscillators. Phys. Rev. E 80(2), 026202 (2009)
59. S. Watanabe, S.H. Strogatz, Integrability of a globally coupled oscillator array. Phys. Rev. Lett.
70(16), 2391 (1993)
60. S. Watanabe, S.H. Strogatz, Constants of motion for superconducting Josephson arrays. Phys.
D 74(3–4), 197–253 (1994)
61. A.T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators. J.
Theor. Biol. 16(1), 15 (1967)