@article{IvanovNuenesAmaralGoldbergeretal.2001, author = {Ivanov, Plamen Ch. and Nuenes Amaral, Lu{\´i}s A. and Goldberger, Ary L. and Havlin, Shlomo and Rosenblum, Michael and Stanley, H. Eugene and Struzik, Zbigniew R.}, title = {From 1/f noise to multifractal cascades in heartbeat dynamics}, issn = {1054-1500}, year = {2001}, language = {en} } @article{PikovskijRosenblum2001, author = {Pikovskij, Arkadij and Rosenblum, Michael}, title = {Comment on "Intermittency in chaotic rotations"}, year = {2001}, abstract = {Lai et al. [Phys. Rev. E 62, R29 (2000)] claim that the angular velocity of the phase point moving along the chaotic trajectory in a properly chosen projection (the instantaneous frequency) is intermittent. Using the same examples, namely the R{\"o}ssler and the Lorenz systems, we show the absence of intermittency in the dynamics of the instantaneous frequency.This is confirmed by demonstrating that the phase dynamics exhibits normal diffusion. We argue that the nonintermittent behavior is generic.}, language = {en} } @article{PikovskijRosenblum2001, author = {Pikovskij, Arkadij and Rosenblum, Michael}, title = {Detecting direction of coupling in interacting oscillators}, year = {2001}, abstract = {We propose a method for experimental detection of directionality of weak coupling between two self-sustained oscillators from bivariate data. The technique is applicable to both noisy and chaotic systems that can be nonidentical or even structurally different. We introduce an index that quantifies the asymmetry in coupling.}, language = {en} } @book{PikovskijRosenblumKurths2001, author = {Pikovskij, Arkadij and Rosenblum, Michael and Kurths, J{\"u}rgen}, title = {Synchronization : a universal concept in nonlinear sciences}, series = {Cambridge nonlinear science series}, volume = {12}, journal = {Cambridge nonlinear science series}, edition = {1st paperback ed., repr}, publisher = {Cambridge Univ. Press}, address = {Cambridge}, isbn = {0-521-59285-2}, pages = {XIX, 411 S. : Ill., graph. Darst.}, year = {2001}, language = {en} } @article{Rosenblum2001, author = {Rosenblum, Michael}, title = {Comment on "Intermittency in chaotic rotations"}, year = {2001}, language = {en} } @article{RosenblumKurthsPikovskij2001, author = {Rosenblum, Michael and Kurths, J{\"u}rgen and Pikovskij, Arkadij}, title = {Comment on "Phase synchronization in discrete chaotic systems"}, year = {2001}, abstract = {Chen et al. [Phys. Rev. E 61, 2559 (2000)] recently proposed an extension of the concept of phase for discrete chaotic systems. Using the newly introduced definition of phase they studied the dynamics of coupled map lattices and compared these dynamics with phase synchronization of coupled continuous-time chaotic systems. In this paper we illustrate by two simple counterexamples that the angle variable introduced by Chen et al. fails to satisfy the basic requirements to the proper phase. Furthermore, we argue that an extension of the notion of phase synchronization to generic discrete maps is doubtful.}, language = {en} }