Synchronization of chaotic systems
By A. Pikovsky, M. Rosenblum, Jürgen Kurths. 2001
1,426 citations recorded by the source corpus.
Subfields: Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4dc9f8d0d2992b0d7795fc999c6625fb03fefdb3
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In Statistical and Nonlinear Physics
- Jürgen Kurths
- Norbert Marwan
- Yong Zou
- Reik V. Donner
- Jonathan F. Donges
- Emad E. Mahmoud
- Gamal M. Mahmoud
- Karl J. Friston
Citations in the corpus
- Optimal tracking control of nonlinear dynamical systems (2008, background): “A (2008) recently that the synchronization between two non-identical, low-dimensional chaotic systems has begun to be investigated (Boccaletti et al. 2002).”
- Complete synchronization of chaotic complex nonlinear systems with uncertain parameters (2010, background): “For more details on synchronization of chaotic systems, see [6–8].”
- A free energy principle for a particular physics (2019, background): “many-body problems. There is a vast literature on the n-body problem in a classical setting. This literature ranges from mean field approximations through to loosely coupled dynamical systems; e.g., (Boccaletti et al., 2002; Breakspear and Stam, 2005; Kayser and Ermentrout, 2010; Rulkov et al., 1995”
- Oscillation quenching mechanisms: Amplitude vs. oscillation death (2013, background): “To start with, weak coupling of nonlinear oscillators leads to synchronization, a fundamental nonlinear phenomenon in various fields of science [17–19].”
- Complex network approaches to nonlinear time series analysis (2019, background): “There has been considerable interest in the study of the synchronization behavior of coupled chaotic systems, which have been observed in many physical and biological systems [20,21].”
- Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems (2010, methodology): “There are several techniques and methods which can be applied to introduce and study PS and APS of chaotic systems: As an example, we mention the phase of chaotic attractors (or signals) [17, 21], the method of active control [22], the idea of introducing an analytical signal with the aid of the Hil”