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The study of synchronization in biological systems is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. In this paper, by using simple dynamical systems theory, we present a…

Molecular Networks · Quantitative Biology 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

We investigate the temporal dynamics of the PT-Symmetric nonlinear oscillators in the presence of Duffing nonlinearity for two forms of oscillator configuration. In the former, we consider two oscillator coupled to each other. One…

Adaptation and Self-Organizing Systems · Physics 2023-10-20 Jyoti Prasad Deka

Engineered micro- and nanomechanical resonators with ultra-low dissipation constitute the ideal systems for applications ranging from high-precision sensing such as magnetic resonance force microscopy, to quantum transduction between…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Dennis Høj , Fengwen Wang , Wenjun Gao , Ulrich Busk Hoff , Ole Sigmund , Ulrik Lund Andersen

Nanomechanical resonators are used as high performance detectors in a variety of applications such as mass spectrometry and atomic force microscopy. Initial emphasis in nanomechanical resonant sensor research was on increasing the…

Applied Physics · Physics 2021-02-03 Alper Demir

Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. If multiple such networks are coupled together, the question arises whether these rhythms will synchronize. We investigate the impact of…

Adaptation and Self-Organizing Systems · Physics 2016-12-22 John Hongyu Meng , Hermann Riecke

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

The temporal behaviour of segmentation clock oscillations show phase synchrony via mean field like coupling of delta protein restricting to nearest neighbours only, in a configuration of cells arranged in a regular three dimensional array.…

Neurons in the brain behave as non-linear oscillators, which develop rhythmic activity and interact to process information. Taking inspiration from this behavior to realize high density, low power neuromorphic computing will require huge…

We study numerically the behavior of qubit coupled to a quantum dissipative driven oscillator (resonator). Above a critical coupling strength the qubit rotations become synchronized with the oscillator phase. In the synchronized regime, at…

Superconductivity · Physics 2008-01-10 O. V. Zhirov , D. L. Shepelyansky

In this set of lectures, we review briefly some of the recent developments in the study of the chaotic dynamics of nonlinear oscillators, particularly of damped and driven type. By taking a representative set of examples such as the…

chao-dyn · Physics 2009-10-30 M. Lakshmanan

Oscillation synchronization phenomenon is widely observed in natural systems through frequency modulated signals, especially in biological neural networks. Frequency modulation is also one of most widely used technologies in engineering.…

Optimization and Control · Mathematics 2021-08-17 Zhiyong Chen

A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of…

Chaotic Dynamics · Physics 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova

Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. Here, we analyse the spontaneous synchronisation dynamics of vibrations assisting energy transfer in a bio-inspired…

Quantum Physics · Physics 2020-09-30 Stefan Siwiak-Jaszek , Thao P. Le , Alexandra Olaya-Castro

The phenomenon of synchronization, where entities exhibit stable oscillations with aligned frequencies and phases, has been detected in diverse areas of natural science. It plays a crucial role in achieving frequency locking in multiple…

Quantum Physics · Physics 2025-06-24 Tong Liu , Laura García-Álvarez , Giovanna Tancredi

Synchronization is one of the essential collective behaviors and has extensive applications. Exploiting a common environment, we establish synchronization in microwave optomechanical circuits. Through analysis and numerical calculations, we…

Quantum Physics · Physics 2025-01-10 Yun-Qiu Ge , Min-Chen Qiao , Yu-xi Liu

We study synchronization of oscillators that are indirectly coupled through their interaction with an environment. We give criteria for the stability or instability of a synchronized oscillation. Using these criteria we investigate…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Guy Katriel

Numerical problems are considered on general synchronization of chaotic oscillators, through the evaluation of the Lower Bound Error index on two case studies: a Lorenz system unidirectionally coupled to a Duffing system and a Duffing…

We present an experimental study of phase-locking in a stochastic magnetic oscillator. The system comprises a magnetic tunnel junction with a superparamagnetic free layer, whose magnetization dynamics is driven with spin torques through an…

Micro- and nanomechanical resonators are emerging as promising platforms for quantum technologies, precision sensors and fundamental science experiments. To utilize these devices for force sensing or quantum optomechanics, they must be…

A rationale is provided for the emergence of synchronization in a system of coupled oscillators in a stick-slip motion. The single oscillator has a limit cycle in a region of the state space for each parameter set beyond the supercritical…

Adaptation and Self-Organizing Systems · Physics 2015-11-17 Nozomi Sugiura , Takane Hori , Yoji Kawamura