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An approach is presented for coupled chaotic systems, estimating an inferior bound value for the absolute phase difference, in order to say that phase synchronization is present. This approach shows that synchronicity in phase implies…

Classical Physics · Physics 2007-06-22 M. S. Baptista , T. Pereira , J. Kurths

The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

Interactions in nature can be described by their coupling strength, direction of coupling and coupling function. The coupling strength and directionality are relatively well understood and studied, at least for two interacting systems,…

Adaptation and Self-Organizing Systems · Physics 2017-02-09 Tomislav Stankovski

Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization…

Chaotic Dynamics · Physics 2015-03-11 A. P. Kuznetsov , L. V. Turukina , N. Yu. Chernyshov , Yu. V. Sedova

The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, the networks display chaotic dynamics. We…

Chaotic Dynamics · Physics 2009-11-11 Sebastian F. Brandt , Babette K. Dellen , Ralf Wessel

The scope of the paper is the analysis of the impact of flow reversal on the dynamics of cascades of reactors. Periodic and chaotic oscillations occur in the analyzed system. There is a dependence between the oscillation period of the state…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski , Bozena Kulik

We present a phase-based framework for reducing the pressure fluctuations within a spanwise-periodic supersonic turbulent cavity flow with an incoming free-stream Mach number of 1.4 and a depth-based Reynolds number of 10,000. Open cavity…

The collective behavior of the ensembles of coupled nonlinear oscillator is one of the most interesting and important problems in modern nonlinear dynamics. In this paper, we study rotational dynamics, in particular space-time structures,…

Chaotic Dynamics · Physics 2020-11-03 V. O. Munyaev , D. S. Khorkin , M. I. Bolotov , L. A. Smirnov , G. V. Osipov

Quasiperiodicity, a partially synchronous state that precedes the onset of forced synchronization in hydrodynamic systems, exhibits distinct geometrical patterns based on the specific route to lock-in. In this study, we explore these…

A density oscillator is a fluid system in which oscillatory flow occurs between different density fluids through the pore connecting them. We investigate the synchronization in coupled density oscillators using two-dimensional hydrodynamic…

Pattern Formation and Solitons · Physics 2023-03-27 Nana Takeda , Hiroaki Ito , Hiroyuki Kitahata

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article…

Chaotic Dynamics · Physics 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

The model of a non-autonomous memristor-based oscillator with a line of equilibria is studied. A numerical simulation of the system driven by a periodical force is combined with a theoretical analysis by means of the quasi-harmonic…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Ivan A. Korneev , Andrei V. Slepnev , Vladimir V. Semenov , Tatiana Vadivasova

The functions of many networked systems in physics, biology or engineering rely on a coordinated or synchronized dynamics of its constituents. In power grids for example, all generators must synchronize and run at the same frequency and…

Adaptation and Self-Organizing Systems · Physics 2017-09-13 Debsankha Manik , Marc Timme , Dirk Witthaut

Partial synchronous states appear between full synchrony and asynchrony and exhibit many interesting properties. Most frequently, these states are studied within the framework of phase approximation. The latter is used ubiquitously to…

Chaotic Dynamics · Physics 2021-06-30 Erik Teichmann

Control surface deployment in a supersonic flow has many applications, including flow control, mixing, and body-force regulation. The extent of control surface deflections introduces varying flow unsteadiness. The resulting fluid dynamics…

Fluid Dynamics · Physics 2022-10-26 S. K. Karthick , D. Bhelave , A. De

Phase-locked solutions of coupled oscillators are studied with asymmetric coupling strengths or inhomogeneous natural frequencies. The solutions show remarkable profiles of phase lags from the pacemaker corresponding to the ratio of upward…

Pattern Formation and Solitons · Physics 2009-11-07 H. Yamada

Flutter in lightweight airfoils under unsteady flows presents a critical challenge in aeroelastic stability and control. This study uncovers phase-localized mechanisms that drive the onset and suppression of flutter in a freely pitching…

Fluid Dynamics · Physics 2025-12-16 Chathura R. Sumanasiri , Tulsi Ram Sahu , Aditya G. Nair

Synchronization in an array of mutually coupled systems with a finite time-delay in coupling is studied using Josephson junction as a model system. The sum of the transverse Lyapunov exponents is evaluated as a function of the parameters by…

Chaotic Dynamics · Physics 2008-05-22 Chitra R Nayak , V. C. Kuriakose

Motivated by the observed coordination of nearby beating cilia, we use a scale model experiment to show that hydrodynamic interactions can cause synchronization between rotating paddles driven at constant torque in a very viscous fluid.…

Soft Condensed Matter · Physics 2010-05-26 Bian Qian , Hongyuan Jiang , David A. Gagnon , Kenneth S. Breuer , Thomas R. Powers

We study phase synchronization for a ratchet system. We consider the deterministic dynamics of a particle in a tilted ratchet potential with an external periodic forcing, in the overdamped case. The ratchet potential has to be tilted in…

Other Condensed Matter · Physics 2009-11-11 Fernando R. Alatriste , José L. Mateos