Article
Engineering, Mechanical
S. Euzzor, A. Di Garbo, J-M Ginoux, S. Zambrano, F. T. Arecchi, R. Meucci
Summary: Experimental and numerical results demonstrate that destabilization and breakup of a 3D torus can occur when a small subharmonic perturbation is added to a 2D torus characteristic of a driven relaxation oscillator. The phase difference between the main driving frequency and its first subharmonic perturbing component plays a key role in this transition, confirming the Newhouse, Ruelle, and Takens quasiperiodic transition to chaos.
NONLINEAR DYNAMICS
(2021)
Article
Physics, Fluids & Plasmas
Sudip Mukherjee, Abhik Basu
Summary: In this study, a conceptual nonlinear hydrodynamic model is constructed to investigate how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system. It is found that depending upon the control parameters, the model can display a variety of universal scaling behaviors ranging from simple scaling to multiscaling. This research provides insights into the physical understanding of scaling and multiscaling properties in complex systems driven by symmetries and nonlinear effects.
Article
Mathematics, Applied
Wen Si, Lu Xu, Yingfei Yi
Summary: This paper investigates the existence and stability properties of response solutions in singularly perturbed, quasi-periodically forced oscillators. By studying the normal form of these oscillators, the authors show the existence of Floquet response tori in three typical cases. The results not only extend existing findings in regularly and singularly perturbed cases, but also provide new insights into the nature of these solutions, such as the coexistence of response solutions with hyperbolic and elliptic types in a given quasi-periodically forced, degenerate nonlinear oscillator.
JOURNAL OF NONLINEAR SCIENCE
(2023)
Article
Mathematics, Applied
Lautaro Cilenti, Maria Cameron, Balakumar Balachandran
Summary: This study develops a methodology for finding the most probable escape paths and estimating transition rates in arrays of coupled nonlinear oscillators under small noise limit. It applies the action plot method, large deviation theory, optimal control theory, and Floquet theory to compute and visualize the escape paths between stable vibrational modes in arrays of up to five oscillators. The study also discusses the dependence of the quasipotential barrier on system parameters.
Article
Automation & Control Systems
Yan Liu, Jun Liu, Wenxue Li
Summary: This article addresses the stabilization of highly nonlinear stochastic coupled systems with time delay using periodically intermittent control. A novel Halanay-type inequality is established to handle this issue, and two main theorems are shown to indicate how control parameters affect stability. Theoretical results are applied to modified oscillators and simulation results demonstrate the effectiveness of the approach.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Meichen Guo, Claudio De Persis, Pietro Tesi
Summary: This article introduces how to learn controllers for unknown linear systems using linear matrix inequalities and extend this approach to deal with unknown nonlinear polynomial systems. By formulating stability certificates as data-dependent sum of squares programs, we can obtain stabilizing controllers and Lyapunov functions, and derive variations of this result that lead to more advantageous controller designs. The results also reveal connections to designing a controller starting from a least-square estimate of the polynomial system.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Editorial Material
Multidisciplinary Sciences
U. E. Vincent, P. V. E. McClintock, I. A. Khovanov, S. Rajasekar
Summary: Nonlinear systems are abundant in nature and have been extensively studied due to their multidisciplinary applicability. When driven by external forces, they exhibit interesting properties, with resonance being a prominent feature. Resonance phenomena have a wide range of applications, particularly in advanced technologies.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Mathematics, Interdisciplinary Applications
Ana M. Cabanas, Ronald Rivas, Laura M. Perez, Javier A. Velez, Pablo Diaz, Marcel G. Clerc, Harald Pleiner, David Laroze, Boris A. Malomed
Summary: Researchers investigated a route to spatiotemporal chaos emerging from standing waves, which undergo oscillatory instability and exhibit a different critical frequency. A suitable amplitude equation near parametric resonance allows for producing universal results, with relevant dynamical regimes characterized by the largest Lyapunov exponent, power spectrum, and evolution of total intensity.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Multidisciplinary Sciences
U. E. Vincent, P. V. E. McClintock, I. A. Khovanov, S. Rajasekar
Summary: Nonlinearity is prevalent in both natural and engineering systems, leading to a multidisciplinary field of dynamics research. Driving nonlinear systems with external excitations can result in resonant phenomena, such as vibrational resonance and stochastic resonance, which play important roles in various technological advancements.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Physics, Fluids & Plasmas
Thomas Veness, Kay Brandner
Summary: Floquet theory is applied to investigate the stroboscopic behaviors of a classical spin chain driven by a periodic magnetic field. The high-frequency mode is described by a local Floquet-Gibbs ensemble, with the thermal reservoir acting as a nearly-reversible heat sink. At low frequencies, the system and the reservoir synchronize and enter a synchronized state, which requires considering the evolution dynamics of the reservoir. Furthermore, generic local-dissipation models fail to reproduce the suppression of overall energy absorption induced by the synchronization between the driven system and the reservoir.
Article
Chemistry, Physical
Feng Zhang, Jin Wang
Summary: Dissipative chaos is widely present in nonequilibrium systems, originating from the wide basin on the potential landscape and the dominance of rotational flux in chaotic systems. In contrast, the probability flux is associated with the breakage of detailed balance in nonequilibrium systems, indicating that dissipative chaos is driven by nonequilibrium conditions.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Mathematics, Applied
A. Ugulava, S. Chkhaidze, O. Kharshiladze, G. Mchedlishvili
Summary: The electronic system in an atom is considered Hamiltonian only at times shorter than the spontaneous relaxation time. However, a phenomenon of nonlinear hybrid resonance can be observed in the electronic spectrum when the external electromagnetic field has a specific form.
Article
Engineering, Electrical & Electronic
Nils Laurent, Marcelo A. Colominas, Sylvain Meignen
Summary: This paper investigates the estimation of local chirp rate in noisy multicomponent signals. It proposes a novel technique to improve the accuracy of a specific type of local chirp rate estimator used in the second order synchrosqueezing transform. The improved estimator is shown to be useful in mode reconstruction and voice signal analysis.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
(2022)
Article
Physics, Multidisciplinary
Somsubhra Ghosh, Indranil Paul, K. Sengupta
Summary: We study a fermionic chain with driven nearest-neighbor interaction and find that it exhibits prethermal strong Hilbert space fragmentation (HSF) at specific drive frequencies omega(*)(m) and high drive amplitudes. This is the first realization of strong HSF for out-of-equilibrium systems. We derive analytic expressions for omega(*)(m) using Floquet perturbation theory and numerically compute entanglement entropy, equal-time correlation functions, and density autocorrelation of fermions. All these quantities demonstrate clear signatures of strong HSF. We also investigate the fate of HSF as one deviates from omega(*)(m) and discuss the extent of the prethermal regime as a function of the drive amplitude.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Fluids & Plasmas
Ajaz Mir, Sanat Tiwari, Abhijit Sen
Summary: The nonlinear response of a periodically driven Korteweg-de Vries model system is studied using various nonlinear drivers, and compared to previous results obtained for a purely time-dependent sinusoidal driver. It is found that a nonlinear driver in the form of a cnoidal-square wave or a traveling wave produces a spectral response that is closer to experimental observations than that predicted by the simple sinusoidal driver. The nature of the nonlinear oscillations is predominantly governed by a three-wave mixing process, as established by bispectral analysis. The study also proposes a means of tailoring the nature of mixing patterns by varying the driver frequency and its functional form.
PHYSICS OF PLASMAS
(2022)
Article
Physics, Multidisciplinary
Benjamin A. Dalton, David Oriola, Franziska Decker, Frank Juelicher, Jan Brugues
Summary: The study reveals the mechanism of spindle self-organization, showing that a gelation transition enables long-range microtubule transport and global coherent microtubule flows.
Article
Chemistry, Physical
Charlie Duclut, Joris Paijmans, Mandar M. Inamdar, Carl D. Modes, Frank Juelicher
Summary: In this paper, the authors used a vertex model to study T1 rearrangements in polygonal cellular networks and considered two different physical realizations of anisotropic active stresses. The results suggest that these realizations can be observed in vivo and lead to different patterns of relative orientation. The energetics of the dynamic tissue were also discussed, defining active T1 transitions that can perform mechanical work while consuming chemical energy.
EUROPEAN PHYSICAL JOURNAL E
(2022)
Article
Physics, Multidisciplinary
Tyler S. Harmon, Frank Julicher
Summary: In this study, we propose a reliable method for assembling protein complexes into the correct structure using an assembly line with a specific sequence of assembly steps. By utilizing droplet interfaces to position compartment boundaries, we demonstrate that an assembly line can be self-organized by active droplets. As a result, assembly steps can be spatially arranged to achieve a specific order of assembly and prevent incorrect assembly.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematical & Computational Biology
Jannik Franzen, Lukas Ramlow, Benjamin Lindner
Summary: This study focuses on the theta neuron model driven by correlated noise and periodic stimuli. The matrix-continued-fraction method is used to solve the associated Fokker-Planck equation and develop an efficient numerical scheme for determining the stationary firing rate and stimulus-induced modulation of the instantaneous firing rate. The effects of colored noise on the firing rate are investigated and compared with existing analytical approximations for limit cases.
JOURNAL OF COMPUTATIONAL NEUROSCIENCE
(2023)
Article
Biophysics
Lukas Ramlow, Martin Falcke, Benjamin Lindner
Summary: In computational neuroscience, integrate-and-fire models are used to describe spike generation in both single cells and networks efficiently and analytically. Stochastic spiking is also observed in Ca2+ signaling, making the integrate-and-fire approach applicable. This study introduces a two-component model for describing the activity of inositol-trisphosphate receptor channels and the dynamics of cytosolic Ca2+ concentrations. The model allows for fast numerical simulations, analytical expressions for spiking rates and interspike interval statistics, and approximations of the interval density and power spectrum. Experimental data are compared to the model's statistics.
BIOPHYSICAL JOURNAL
(2023)
Article
Cell Biology
Alicia Daeden, Alexander Mietke, Emmanuel Derivery, Carole Seum, Frank Juelicher, Marcos Gonzalez-Gaitan
Summary: This study reveals that unequal daughter-cell sizes resulting from asymmetric sensory organ precursor divisions in Drosophila are controlled by the relative amount of cortical branched Actin between the two cell poles. By manipulating the machinery for branched Actin dynamics, the researchers can engineer the cell shape and daughter-cell size with temporal precision at different stages of cytokinesis. The findings uncover the physical mechanism by which the sensory organ precursor mother cell controls relative daughter-cell size.
NATURE CELL BIOLOGY
(2023)
Article
Physics, Multidisciplinary
Keisuke Ishihara, Arghyadip Mukherjee, Elena Gromberg, Jan Brugues, Elly M. Tanaka, Frank Juelicher
Summary: Animal organs exhibit complex topologies involving cavities and tubular networks, which are governed by two distinct modes of topological transitions. These transitions can be regulated through a pharmacologically accessible pathway, enabling control over organ shape and topology.
Article
Developmental Biology
Eva L. Kozak, Jeronimo R. Miranda-Rodriguez, Augusto Borges, Kai Dierkes, Alessandro Mineo, Filipe Pinto-Teixeira, Oriol Viader-Llargues, Jerome Solon, Osvaldo Chara, Hernan Lopez-Schier
Summary: Collective cell rotations play an important role in animal organogenesis. This study investigates the multicellular rotation process in zebrafish neuromasts and reveals that it is a three-phasic movement involving homotypic coupling and junction remodeling. The rotations are not influenced by cellular flow or resistive forces and are unaffected by the Notch/Emx2 status of the cells. The findings suggest that initial stochastic inhomogeneities and intercellular coordination contribute to persistently directional rotations.
Article
Chemistry, Physical
Meng Su, Benjamin Lindner
Summary: We investigate the transport properties of an active Brownian particle under a biased periodic potential with a Rayleigh-Helmholtz friction function. Without noise, the particle's motion can be either locked or exhibit different types of running states depending on the parameters of the friction function and the bias force. The parameter plane of friction and bias force can be divided into four regions based on the type of solutions. In the presence of noise, the mean velocity shows different dependencies on the noise intensity in different parameter regimes. These dependencies are examined using numerical simulations and simple analytical estimates.
EUROPEAN PHYSICAL JOURNAL E
(2023)
Correction
Multidisciplinary Sciences
Victoria Tianjing Yan, Arjun Narayanan, Tina Wiegand, Frank Juelicher, Stephan W. Grill
Article
Physics, Multidisciplinary
Meng Su, Davide Bernardi, Benjamin Lindner
Summary: A recent stochastic pursuit model investigates the movement of chasers towards a target undergoing pure Brownian diffusion. The addition of an escape term allows the target to detect and evade the approaching chasers, resulting in qualitatively different behaviors depending on the chase speed. When multiple chasers are present, the overall behavior resembles that of the original diffusion model due to compensating escape terms when the target is surrounded.
NEW JOURNAL OF PHYSICS
(2023)
Article
Physics, Multidisciplinary
Kirsten Engbring, Dima Boriskovsky, Yael Roichman, Benjamin Lindner
Summary: In this work, a nonlinear generalized FDR (NL FDR) is proposed as a test for the Markovianity of nonequilibrium systems. Compared to previous linear response-based FDRs, NL FDR has better applicability for strong perturbations and non-equilibrium systems, requiring less data for verification. Through experimental and theoretical model tests, it is found that NL FDR can be used to measure the Markovianity of a system.
Article
Engineering, Electrical & Electronic
Christian Hoyer, Lucas Wetzel, Dimitrios Prousalis, Jens Wagner, Frank Juelicher, Frank Ellinger
Summary: Synchronization is a challenging aspect of distributed systems, especially in globally operating data centers or distributed sensor arrays. Existing solutions based on hierarchical synchronization concepts have a single point of failure. This study explores the combination of hierarchical and mutual synchronization to achieve more resilient solutions.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Optics
Benjamin Lindner, Felix Gloeckler, Alwin Kienle
Summary: A common tool for studying and characterizing diffuse materials is the calculation of scattering and absorption coefficients. However, realistic surfaces often have distinct roughness, which affects the reflection and transmission of light. This study presents a method for creating optically rough surfaces using two-photon polymerization, allowing for precise adjustment of these surfaces within a few hundred nanometers. Additionally, a simple preparation method is shown to compensate for reflections from the backside of the substrate, enabling the measurement of reflectance and a better understanding of the scattering behavior of rough surfaces and their impact on determining optical properties of turbid media.
Article
Physics, Fluids & Plasmas
Joel Mabillard, Christoph A. Weber, Frank Juelicher
Summary: Chemical events in active systems generate heat and lead to active fluctuations, keeping the system out of thermal equilibrium. This study shows that active fluctuations dominate thermal fluctuations on large length and timescales, but multiple crossovers exist at intermediate length and timescales, revealing the different characteristics of active and thermal fluctuations. The findings provide a framework to understand fluctuations in active systems and uncover the presence of local equilibrium at certain length and timescales.
