arXiv - PHYS - Chaotic Dynamics最新文献_第10页

Enhancing Computational Efficiency in Multiscale Systems Using Deep Learning of Coordinates and Flow Maps 利用坐标和流图深度学习提高多尺度系统的计算效率

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-28 DOI: arxiv-2407.00011

Asif Hamid, Danish Rafiq, Shahkar Ahmad Nahvi, Mohammad Abid Bazaz

{"title":"Enhancing Computational Efficiency in Multiscale Systems Using Deep Learning of Coordinates and Flow Maps","authors":"Asif Hamid, Danish Rafiq, Shahkar Ahmad Nahvi, Mohammad Abid Bazaz","doi":"arxiv-2407.00011","DOIUrl":"https://doi.org/arxiv-2407.00011","url":null,"abstract":"Complex systems often show macroscopic coherent behavior due to the\u0000interactions of microscopic agents like molecules, cells, or individuals in a\u0000population with their environment. However, simulating such systems poses\u0000several computational challenges during simulation as the underlying dynamics\u0000vary and span wide spatiotemporal scales of interest. To capture the\u0000fast-evolving features, finer time steps are required while ensuring that the\u0000simulation time is long enough to capture the slow-scale behavior, making the\u0000analyses computationally unmanageable. This paper showcases how deep learning\u0000techniques can be used to develop a precise time-stepping approach for\u0000multiscale systems using the joint discovery of coordinates and flow maps.\u0000While the former allows us to represent the multiscale dynamics on a\u0000representative basis, the latter enables the iterative time-stepping estimation\u0000of the reduced variables. The resulting framework achieves state-of-the-art\u0000predictive accuracy while incurring lesser computational costs. We demonstrate\u0000this ability of the proposed scheme on the large-scale Fitzhugh Nagumo neuron\u0000model and the 1D Kuramoto-Sivashinsky equation in the chaotic regime.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"216 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Vision-based Discovery of Nonlinear Dynamics for 3D Moving Target 基于视觉的三维移动目标非线性动力学发现

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-27 DOI: arxiv-2404.17865

Zitong Zhang, Yang Liu, Hao Sun

{"title":"Vision-based Discovery of Nonlinear Dynamics for 3D Moving Target","authors":"Zitong Zhang, Yang Liu, Hao Sun","doi":"arxiv-2404.17865","DOIUrl":"https://doi.org/arxiv-2404.17865","url":null,"abstract":"Data-driven discovery of governing equations has kindled significant\u0000interests in many science and engineering areas. Existing studies primarily\u0000focus on uncovering equations that govern nonlinear dynamics based on direct\u0000measurement of the system states (e.g., trajectories). Limited efforts have\u0000been placed on distilling governing laws of dynamics directly from videos for\u0000moving targets in a 3D space. To this end, we propose a vision-based approach\u0000to automatically uncover governing equations of nonlinear dynamics for 3D\u0000moving targets via raw videos recorded by a set of cameras. The approach is\u0000composed of three key blocks: (1) a target tracking module that extracts plane\u0000pixel motions of the moving target in each video, (2) a Rodrigues' rotation\u0000formula-based coordinate transformation learning module that reconstructs the\u00003D coordinates with respect to a predefined reference point, and (3) a\u0000spline-enhanced library-based sparse regressor that uncovers the underlying\u0000governing law of dynamics. This framework is capable of effectively handling\u0000the challenges associated with measurement data, e.g., noise in the video,\u0000imprecise tracking of the target that causes data missing, etc. The efficacy of\u0000our method has been demonstrated through multiple sets of synthetic videos\u0000considering different nonlinear dynamics.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140831647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Phase control of escapes in the fractional damped Helmholtz oscillator 分数阻尼亥姆霍兹振荡器逸出的相位控制

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-20 DOI: arxiv-2404.16869

Mattia Coccolo, Jesús M. Seoane, Stefano Lenci, Miguel A. F. Sanjuán

{"title":"Phase control of escapes in the fractional damped Helmholtz oscillator","authors":"Mattia Coccolo, Jesús M. Seoane, Stefano Lenci, Miguel A. F. Sanjuán","doi":"arxiv-2404.16869","DOIUrl":"https://doi.org/arxiv-2404.16869","url":null,"abstract":"We analyze the nonlinear Helmholtz oscillator in the presence of fractional\u0000damping, a characteristic feature in several physical situations. In our\u0000specific scenario, as well as in the non-fractional case, for large enough\u0000excitation amplitudes, all initial conditions are escaping from the potential\u0000well. To address this, we incorporate the phase control technique into a\u0000parametric term, a feature commonly encountered in real-world situations. In\u0000the non-fractional case it has been shown that, a phase difference of\u0000{phi_{OPT}} simeq {pi}, is the optimal value to avoid the escapes of the\u0000particles from the potential well. Here, our investigation focuses on\u0000understanding when particles escape, considering both the phase difference\u0000{phi} and the fractional parameter {alpha} as control parameters. Our\u0000findings unveil the robustness of phase control, as evidenced by the consistent\u0000oscillation of the optimal {phi} value around its non-fractional counterpart\u0000when varying the fractional parameter. Additionally, our results underscore the\u0000pivotal role of the fractional parameter in governing the proportion of bounded\u0000particles, even when utilizing the optimal phase.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140812097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Systematic search for islets of stability in the standard map for large parameter values 系统搜索大参数值标准图中的稳定小岛

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-18 DOI: arxiv-2404.12027

Alexandre R. Nieto, Rubén Capeáns, Miguel A. F. Sanjuán

引用次数: 0

Adjoint Sensitivities of Chaotic Flows without Adjoint Solvers: A Data-Driven Approach 不使用交点求解器的混沌流交点敏感性：数据驱动法

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-18 DOI: arxiv-2404.12315

Defne E. Ozan, Luca Magri

{"title":"Adjoint Sensitivities of Chaotic Flows without Adjoint Solvers: A Data-Driven Approach","authors":"Defne E. Ozan, Luca Magri","doi":"arxiv-2404.12315","DOIUrl":"https://doi.org/arxiv-2404.12315","url":null,"abstract":"In one calculation, adjoint sensitivity analysis provides the gradient of a\u0000quantity of interest with respect to all system's parameters. Conventionally,\u0000adjoint solvers need to be implemented by differentiating computational models,\u0000which can be a cumbersome task and is code-specific. To propose an adjoint\u0000solver that is not code-specific, we develop a data-driven strategy. We\u0000demonstrate its application on the computation of gradients of long-time\u0000averages of chaotic flows. First, we deploy a parameter-aware echo state\u0000network (ESN) to accurately forecast and simulate the dynamics of a dynamical\u0000system for a range of system's parameters. Second, we derive the adjoint of the\u0000parameter-aware ESN. Finally, we combine the parameter-aware ESN with its\u0000adjoint version to compute the sensitivities to the system parameters. We\u0000showcase the method on a prototypical chaotic system. Because adjoint\u0000sensitivities in chaotic regimes diverge for long integration times, we analyse\u0000the application of ensemble adjoint method to the ESN. We find that the adjoint\u0000sensitivities obtained from the ESN match closely with the original system.\u0000This work opens possibilities for sensitivity analysis without code-specific\u0000adjoint solvers.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140628707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Reduction of dust radial drift by turbulence in protoplanetary disks 原行星盘中的湍流减少了尘埃的径向漂移

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-17 DOI: arxiv-2404.11544

Fabiola Antonietta Gerosa, Jérémie Bec, Héloïse Méheut, Anand Utsav Kapoor

{"title":"Reduction of dust radial drift by turbulence in protoplanetary disks","authors":"Fabiola Antonietta Gerosa, Jérémie Bec, Héloïse Méheut, Anand Utsav Kapoor","doi":"arxiv-2404.11544","DOIUrl":"https://doi.org/arxiv-2404.11544","url":null,"abstract":"Dust particles in protoplanetary disks, lacking support from pressure, rotate\u0000at velocities exceeding those of the surrounding gas. Consequently, they\u0000experience a head-wind from the gas that drives them toward the central star.\u0000Radial drift occurs on timescales much shorter than those inferred from disk\u0000observations or those required for dust to aggregate and form planets.\u0000Additionally, turbulence is often assumed to amplify the radial drift of dust\u0000in planet-forming disks when modeled through an effective viscous transport.\u0000However, the local interactions between turbulent eddies and particles are\u0000known to be significantly more intricate than in a viscous fluid. Our objective\u0000is to elucidate and characterize the dynamic effects of Keplerian turbulence on\u0000the mean radial and azimuthal velocities of dust particles. We employ 2D\u0000shearing-box incompressible simulations of the gas, which is maintained in a\u0000developed turbulent state while rotating at a sub-Keplerian speed. Dust is\u0000modeled as Lagrangian particles set at a Keplerian velocity, therefore\u0000experiencing a radial force toward the star through drag. Turbulent eddies are\u0000found to reduce the radial drift, while simultaneously enhancing the azimuthal\u0000velocities of small particles. This dynamic behavior arises from the\u0000modification of dust trajectories due to turbulent eddies.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140615798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Efficiency of Synchronization Dynamics and the Role of Network Syncreactivity 同步动态的效率和网络同步反应的作用

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-17 DOI: arxiv-2404.16864

Amirhossein Nazerian, Joseph D Hart, Matteo Lodi, Francesco Sorrentino

{"title":"The Efficiency of Synchronization Dynamics and the Role of Network Syncreactivity","authors":"Amirhossein Nazerian, Joseph D Hart, Matteo Lodi, Francesco Sorrentino","doi":"arxiv-2404.16864","DOIUrl":"https://doi.org/arxiv-2404.16864","url":null,"abstract":"Synchronization of coupled oscillators is a fundamental process in both\u0000natural and artificial networks. While much work has investigated the\u0000asymptotic stability of the synchronous solution, the fundamental question of\u0000the efficiency of the synchronization dynamics has received far less attention.\u0000Here we address this question in terms of both coupling efficiency and energy\u0000efficiency. We use our understanding of the transient dynamics towards\u0000synchronization to design a coupling-efficient and energy-efficient\u0000synchronization strategy, which varies the coupling strength dynamically,\u0000instead of using the same coupling strength at all times. Our proposed\u0000synchronization strategy is able in both simulation and in experiments to\u0000synchronize networks by using an average coupling strength that is\u0000significantly lower (and, when there is an upper bound on the coupling\u0000strength, significantly higher) than what is needed for the case of constant\u0000coupling. In either case, the improvement can be of orders of magnitude. In\u0000order to characterize the effects of the network topology on the transient\u0000dynamics towards synchronization, we propose the concept of network\u0000syncreactivity. This is distinct from the previously introduced network\u0000synchronizability, which describes the ability of a network to synchronize\u0000asymptotically. We classify real-world examples of complex networks in terms of\u0000both their synchronizability and syncreactivity.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140812385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Thermodynamics of chaotic relaxation processes 混沌弛豫过程的热力学

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-14 DOI: arxiv-2404.09130

Domenico Lippolis

引用次数: 0

Nonlinearly dispersive nature of Galerkin-regularization and longon turbulence Galerkin-regularization 和 Longon 湍流的非线性分散性质

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-12 DOI: arxiv-2404.08583

Jian-Zhou Zhu

引用次数: 0

Scaling regimes of the one-dimensional phase turbulence in the deterministic complex Ginzburg-Landau equation 确定性复合金兹堡-朗道方程中一维相湍流的缩放机制

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-04-12 DOI: arxiv-2404.08530

Francesco Vercesi, Susie Poirier, Anna Minguzzi, Léonie Canet

引用次数: 0