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Synchronization of many coupled oscillators is widely found in nature and has the potential to revolutionize timing technologies. Here we demonstrate synchronization in arrays of silicon nitride micromechanical oscillators coupled purely…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Mian Zhang , Shreyas Shah , Jaime Cardenas , Michal Lipson

Synchronization is of importance in both fundamental and applied physics, but their demonstration at the micro/nanoscale is mainly limited to low-frequency oscillations like mechanical resonators. Here, we report the synchronization of two…

Optics · Physics 2019-07-09 Da Xu , Zi-Zhao Han , Yu-Kun Lu , Qihuang Gong , Cheng-Wei Qiu , Gang Chen , Yun-Feng Xiao

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

Pattern Formation and Solitons · Physics 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical devices have played an important role in…

We experimentally demonstrate mutual synchronization of two free-running nanomechanical oscillators separated by an effective distance of 30 meters and coupled through light. Due to the finite speed of light, the large separation introduces…

Optics · Physics 2017-05-16 Shreyas Y. Shah , Mian Zhang , Richard Rand , Michal Lipson

Synchronization resulting in unified collective behavior of the individual elements of a system that are weakly coupled to each other has long fascinated scientists. Examples range from the periodic oscillation of coupled pendulum clocks to…

Synchronization in oscillatory systems is a frequent natural phenomenon and is becoming an important concept in modern physics. Nanomechanical resonators are ideal systems for studying synchronization due to their controllable oscillation…

Optics · Physics 2013-12-10 Mahmood Bagheri , Menno Poot , Linran Fan , Florian Marquardt , Hong X. Tang

Synchronization is studied in an array of identical oscillators undergoing small vibrations. The overall coupling is described by a pair of matrix-weighted Laplacian matrices; one representing the dissipative, the other the restorative…

Dynamical Systems · Mathematics 2018-08-02 S. Emre Tuna

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

Adaptation and Self-Organizing Systems · Physics 2015-08-24 Per Sebastian Skardal , Alex Arenas

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

The question under which conditions oscillators with slightly different frequencies synchronize appears in various settings. We show that synchronization can be achieved even for harmonic oscillators that are bilinearly coupled via a purely…

Chaotic Dynamics · Physics 2023-02-01 Juan N. Moreno , Christopher W. Wächtler , Alexander Eisfeld

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

Disordered Systems and Neural Networks · Physics 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori

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

Synchronization is of great scientific interest due to the abundant applications in a wide range of systems. We propose a scheme to achieve the controllable long-distance synchronization of two dissimilar optomechanical systems, which are…

Optics · Physics 2016-06-29 Tan Li , Tian-Yi Bao , Yan-Lei Zhang , Chang-Ling Zou , Xu-Bo Zou , Guang-Can Guo

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

Synchronization of coupled oscillators is a fundamental phenomenon that has been observed in many natural and engineered systems, ranging from biological cells to electronic circuits. In recent years, spin torque nano-oscillators (STNOs)…

Mesoscale and Nanoscale Physics · Physics 2024-08-22 Fangzhou Ai , Vitaliy Lomakin

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

Quantum Physics · Physics 2017-09-13 B. Militello , H. Nakazato , A. Napoli

The synchronization of coupled oscillators is a phenomenon found throughout nature. Mechanical oscillators are paradigmatic among such systems, but realising them at the nanoscale is challenging. We report synchronization of the mechanical…

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