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Most of the time series in nature are a mixture of signals with deterministic and random dynamics. Thus the distinction between these two characteristics becomes important. Distinguishing between chaotic and aleatory signals is difficult…

Data Analysis, Statistics and Probability · Physics 2017-09-13 D. M. Mateos , L. Riveaud , P. W. Lamberti

Mode-mode coupling theory is presented for the resonant pumping via dynamical tunneling processes in a deformed microcavity. From the steady-state solution of the coupled differential equations of chaotic modes and a high-Q regular mode,…

Quantum Physics · Physics 2010-05-27 Kyungwon An , Juhee Yang

We analyze the collective dynamics of an ensemble of globally coupled, externally forced, identical mechanical oscillators with cubic nonlinearity. Focus is put on solutions where the ensemble splits into two internally synchronized…

Adaptation and Self-Organizing Systems · Physics 2021-12-06 Raúl I. Sosa , Damián H. Zanette

Entanglement is a defining feature of quantum mechanics that can be a resource in engineered and natural systems, but measuring entanglement in experiment remains elusive especially for large chemical systems. Most practical approaches…

Quantum Physics · Physics 2021-11-03 Andrew E. Sifain , Francesca Fassioli , Gregory D. Scholes

We propose a theoretical framework to study the cooperative behavior of dynamically coupled oscillators (DCOs) that possess dynamical interactions. Then, to understand synchronization phenomena in networks of interneurons which possess…

Disordered Systems and Neural Networks · Physics 2009-11-07 Toru Aonishi , Masato Okada

We demonstrate the real-time detection of dynamical phase transitions (DPTs) in lattice-confined spinor gases subject to a priori unknown time-variant interactions, via the temporal behaviors of both the system energy and spinor phases…

Quantum Gases · Physics 2026-04-07 J. O. Austin-Harris , Z. N. Hardesty-Shaw , C. Binegar , P. Sigdel , T. Bilitewski , Y. Liu

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

We study the interaction between a superconducting cavity and a spin ensemble. The response of a cavity mode is monitored while simultaneously the spins are driven at a frequency close to their Larmor frequency, which is tuned to a value…

Quantum Physics · Physics 2017-05-31 Hui Wang , Sergei Masis , Roei Levi , Oleg Shtempluk , Eyal Buks

We generalize our recent approach to reconstruction of phase dynamics of coupled oscillators from data [B. Kralemann et al., Phys. Rev. E, 77, 066205 (2008)] to cover the case of small networks of coupled periodic units. Starting from the…

Chaotic Dynamics · Physics 2015-05-27 Björn Kralemann , Arkady Pikovsky , Michael Rosenblum

In this paper, new schemes to synchronize linearly or nonlinearly coupled chaotic systems with an adaptive coupling strength are proposed. Unlike other adaptive schemes, which synchronize coupled chaotic systems to a special trajectory (or…

Dynamical Systems · Mathematics 2007-05-23 Xiwei Liu Tianping Chen

Dynamics of icrocantilevers are of important interest in micro-mechanical systems for enhancing the functionality and applicable range of the cantilevers in vibration transducing and highly sensitive measurement. In this study, using the…

Quantum Physics · Physics 2025-01-22 Le Tri Dat , Vinh N. T. Pham , Le Van Tan , Nguyen Duy Vy

Colloidal mixtures represent a versatile model system to study transport in complex environments. They allow for a systematic variation of the control parameters, namely size ratio, total volume fraction and composition. We study the…

We exploit local quantum estimation theory to investigate the measurement of linear and quadratic coupling strengths in a driven-dissipative optomechanical system. For experimentally realistic values of the model parameters, we find that…

Quantum Physics · Physics 2021-09-15 Kamila Sala , Anton Doicin , Andrew D. Armour , Tommaso Tufarelli

We implement dynamical decoupling techniques to mitigate noise and enhance the lifetime of an entangled state that is formed in a superconducting flux qubit coupled to a microscopic two-level system. By rapidly changing the qubit's…

Quantum information is often carried in the frequency and polarization degrees of freedom (DoFs) in single photons and entangled photons. We demonstrate a new approach to couple and decouple the frequency and polarization DoFs of broadband…

Quantum Physics · Physics 2023-11-27 Arash Riazi , Eric Y. Zhu , Dan Xu , Li Qian

We perform a detailed analysis of a theoretically motivated dark energy quintessence model which interacts with the dark matter sector of the universe. Utilising the current observational datasets from the Cosmic Microwave Background,…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Atul Ashutosh Samanta , Abhijith Ajith , Sukanta Panda

In multivariate analysis, uncertainty arises from two sources: the marginal distributions of the variables and their dependence structure. Quantifying the dependence structure is crucial, as it provides valuable insights into the…

Methodology · Statistics 2025-02-19 Swaroop Georgy Zachariah , Mohd. Arshad , Ashok Kumar Pathak

We consider the dynamics of a periodic chain of N coupled overdamped particles under the influence of noise. Each particle is subjected to a bistable local potential, to a linear coupling with its nearest neighbours, and to an independent…

Probability · Mathematics 2007-10-16 Nils Berglund , Bastien Fernandez , Barbara Gentz

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

Adaptation and Self-Organizing Systems · Physics 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu

We propose a scheme to enhance quantum entanglement in an optomechanical system by exploiting the so-called Duffing nonlinearity. Our model system consists of two mechanically coupled mechanical resonators, both driven by an optical field.…