Physica D: Nonlinear Phenomena最新文献

Existence and destruction of tori in a discontinuous oscillator under quasi-periodic excitations 准周期激励下不连续振子环面的存在与破坏

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-26 DOI: 10.1016/j.physd.2025.134804

Pengcheng Miao , Jicheng Duan , Denghui Li , Jianhua Xie , Celso Grebogi

引用次数: 0

Two-dimensional quantum droplets in quadrupolar Bose–Einstein condensates 四极玻色-爱因斯坦凝聚体中的二维量子液滴

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-26 DOI: 10.1016/j.physd.2025.134807

Xiao-ting Zheng , Xiao-wei Chen , Manna Chen , Hongcheng Wang , Gui-hua Chen

{"title":"Two-dimensional quantum droplets in quadrupolar Bose–Einstein condensates","authors":"Xiao-ting Zheng , Xiao-wei Chen , Manna Chen , Hongcheng Wang , Gui-hua Chen","doi":"10.1016/j.physd.2025.134807","DOIUrl":"10.1016/j.physd.2025.134807","url":null,"abstract":"<div><div>The discovery of stable quantum droplets in dipolar Bose–Einstein condensates has spurred interest in exploring their existence in other polar Bose–Einstein condensates systems. Among these, quadrupolar Bose–Einstein condensates—known for their unique anisotropic interactions—hold strong potential for the emergence of quantum droplets. In this study, we investigate the existence and stability of two-dimensional quantum droplets in systems with electric quadrupole–quadrupole interactions, supplemented by Lee–Huang–Yang quantum corrections. These systems exhibit anisotropic behavior, with droplets that elongate along the polarization axis due to the interplay of quadrupolar interactions and quantum fluctuations, as described by a two-dimensional extended Gross–Pitaevskii equation. Using theoretical analysis and numerical simulations, we demonstrate the stable existence of both fundamental and vortex quantum droplets (with topological charge <span><math><mrow><mi>S</mi><mo>=</mo><mn>1</mn></mrow></math></span>). Key parameters such as peak density, chemical potential, and effective area are examined to elucidate the characteristics of these quantum droplets. Furthermore, we examine collision dynamics under both transverse and longitudinal configurations, shedding light on the anisotropic nature of droplet interactions. These findings pave the way for experimental realization and enrich the theoretical understanding of quantum droplets in quadrupolar Bose–Einstein condensates.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"481 ","pages":"Article 134807"},"PeriodicalIF":2.7,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144522478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On spectral scaling laws for averaged turbulence on the sphere 球上平均湍流的谱标度规律

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-25 DOI: 10.1016/j.physd.2025.134808

Sagy Ephrati, Erik Jansson, Klas Modin

{"title":"On spectral scaling laws for averaged turbulence on the sphere","authors":"Sagy Ephrati, Erik Jansson, Klas Modin","doi":"10.1016/j.physd.2025.134808","DOIUrl":"10.1016/j.physd.2025.134808","url":null,"abstract":"<div><div>Spectral analysis for a class of Lagrangian-averaged Navier–Stokes (LANS) equations on the sphere is carried out. The equations arise from the Navier–Stokes equations by applying a Helmholtz filter of width <span><math><mi>α</mi></math></span> to the advecting velocity <span><math><mi>β</mi></math></span> times, extending previous results on the Navier–Stokes-<span><math><mi>α</mi></math></span> model and enabling a precise selection of the smallest length scale in the flow. Power laws for the energy spectrum are derived and indicate a <span><math><mi>β</mi></math></span>-dependent scaling at wave numbers <span><math><mi>l</mi></math></span> with <span><math><mrow><mi>α</mi><mi>l</mi><mo>≫</mo><mn>1</mn></mrow></math></span>. The energy and enstrophy transfer rates distinctly depend on the averaging, allowing control over the energy flux and the enstrophy flux separately through the choice of averaging operator. A necessary condition on the averaging operator is derived for the existence of the inverse cascade in two-dimensional turbulence. Numerical experiments with a structure-preserving integrator based on Zeitlin’s self-consistent truncation for hydrodynamics confirm the expected energy spectrum scalings and the robustness of the double cascade under choices of the averaging operator. The derived results have potential applications in reduced-complexity numerical simulations of geophysical flows on spherical domains.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"481 ","pages":"Article 134808"},"PeriodicalIF":2.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A kneading diagram of chaotic switching oscillations in a Kerr cavity with two interacting light fields 具有两个相互作用光场的克尔腔中混沌开关振荡的揉合图

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-25 DOI: 10.1016/j.physd.2025.134814

Rodrigues D. Dikandé Bitha , Andrus Giraldo , Neil G.R. Broderick , Bernd Krauskopf

{"title":"A kneading diagram of chaotic switching oscillations in a Kerr cavity with two interacting light fields","authors":"Rodrigues D. Dikandé Bitha , Andrus Giraldo , Neil G.R. Broderick , Bernd Krauskopf","doi":"10.1016/j.physd.2025.134814","DOIUrl":"10.1016/j.physd.2025.134814","url":null,"abstract":"<div><div>Optical systems that combine nonlinearity with coupling between various subsystems offer a flexible platform for observing a diverse range of nonlinear dynamics. Furthermore, engineering tolerances are such that the subsystems can be identical to within a fraction of the wavelength of light; hence, such coupled systems inherently have a natural symmetry that can lead to either delocalization or symmetry breaking. We consider here an optical Kerr cavity that supports two interacting electric fields, generated by two symmetric input beams. Mathematically, this system is modeled by a four-dimensional <span><math><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-equivariant vector field with the strength and detuning of the input light as control parameters. Previous research has shown that complex switching dynamics are observed both experimentally and numerically across a wide range of parameter values. Here, we show that particular switching patterns are created at specific global bifurcations through either delocalization or symmetry breaking of a chaotic attractor. We find that the system exhibits infinitely many of these global bifurcations, which are organized by <span><math><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-equivariant codimension-two Belyakov transitions. We investigate these switching dynamics by means of the continuation of global bifurcations in combination with the computation of kneading invariants and Lyapunov exponents. In this way, we provide a comprehensive picture of the interplay between different switching patterns of periodic orbits and chaotic attractors.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"481 ","pages":"Article 134814"},"PeriodicalIF":2.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A new general coupled (1+1) dimensional long wave short wave resonance interaction system: Derivation, bright solitons, and energy sharing collisions 一种新的一般耦合（1+1）维长波短波共振相互作用系统：推导、亮孤子和能量共享碰撞

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-24 DOI: 10.1016/j.physd.2025.134811

G. Ajith Kumar , T. Kanna , M. Vijayajayanthi

{"title":"A new general coupled (1+1) dimensional long wave short wave resonance interaction system: Derivation, bright solitons, and energy sharing collisions","authors":"G. Ajith Kumar , T. Kanna , M. Vijayajayanthi","doi":"10.1016/j.physd.2025.134811","DOIUrl":"10.1016/j.physd.2025.134811","url":null,"abstract":"<div><div>A new solvable physical system describing nonlinear resonant interaction between two short waves and one long wave with four wave mixing (FWM) effect is derived from the three component general coupled Schrödinger system arising in nonlinear optics, by multiple scale perturbation method. Then by using the Hirota bilinearization method, bright multisoliton (say, N) solution of the general coupled long wave short wave resonance interaction system in one dimension is obtained in the Gram determinant form. The primary focus of this work is to observe the significant role of the FWM effect on the collisions between two bright solitons, three bright solitons, and the collision between a bound soliton and a standard soliton in the new general coupled (1+1) dimensional long wave short wave resonance interaction system. The system features two different energy sharing collisions in short wave components that can be inter switched by tuning the coefficient of four-wave mixing terms whereas solitons in the long wave component always undergo elastic collision accompanied by a phase shift. The presence of FWM enables the possibility of obtaining nonsingular solutions for a wider range of system parameters, for instance, even in the absence of self-phase modulation and cross-phase modulation effects. Three soliton dynamics and bound state soliton propagation are also explored.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"481 ","pages":"Article 134811"},"PeriodicalIF":2.7,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144491073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the existence of traveling wave solutions for cold plasmas 关于冷等离子体行波解的存在性

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-23 DOI: 10.1016/j.physd.2025.134803

Diego Alonso-Orán , Angel Durán , Rafael Granero-Belinchón

引用次数: 0

Non-binary dynamical Ising machines for combinatorial optimization 组合优化的非二元动态伊辛机

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-23 DOI: 10.1016/j.physd.2025.134809

Aditya Shukla, Mikhail Erementchouk, Pinaki Mazumder

{"title":"Non-binary dynamical Ising machines for combinatorial optimization","authors":"Aditya Shukla, Mikhail Erementchouk, Pinaki Mazumder","doi":"10.1016/j.physd.2025.134809","DOIUrl":"10.1016/j.physd.2025.134809","url":null,"abstract":"<div><div>Dynamical Ising machines achieve accelerated solving of complex combinatorial optimization problems by remapping the convergence to the ground state of the classical spin networks to the evolution of specially constructed continuous dynamical systems. The main adapted principle guiding the design of such systems is based on requiring that, on the one hand, the system converges to a binary state and, on the other hand, the system’s energy in such states mimics the classical Ising Hamiltonian. The emergence of binary-like states is regarded to be an indispensable feature of dynamical Ising machines as it establishes the relation between the machine’s continuous terminal state and the inherently discrete solution of a combinatorial optimization problem. This is emphasized by problems where the unknown quantities are represented by spin complexes, for example, the graph coloring problem. In such cases, an imprecise mapping of continuous states to spin configurations may lead to invalid solutions requiring intensive post-processing. In contrast to this approach, we show that there exists a class of non-binary dynamical Ising machines without the incongruity between the continuous character of the machine’s states and the discreteness of the spin states. We demonstrate this feature by applying such a machine to the problems of finding the proper graph coloring, constructing Latin squares, and solving Sudoku puzzles. Thus, we demonstrate that the information characterizing discrete states can be unambiguously presented in essentially continuous dynamical systems. This opens new opportunities for the realization of scalable electronic accelerators of combinatorial optimization.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"481 ","pages":"Article 134809"},"PeriodicalIF":2.7,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Algebro-geometric integration to the discrete Chen–Lee–Liu system 离散陈-李-刘系统的代数-几何积分

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-23 DOI: 10.1016/j.physd.2025.134778

Xiaoxue Xu , Decong Yi , Xing Li , Da-jun Zhang

引用次数: 0

Uniqueness of Landau–Lifschitz solution of the 2D steady Navier–Stokes equations in an infinitely long convergent channel 无限长收敛通道中二维稳定Navier-Stokes方程Landau-Lifschitz解的唯一性

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-21 DOI: 10.1016/j.physd.2025.134802

Jiaqi Yang

引用次数: 0

Turbulent features near the X point of a DTT-like tokamak plasma: Electro-static and electro-magnetic fluid simulations 类dtt托卡马克等离子体X点附近的湍流特征：静电和电磁流体模拟

IF 2.7 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2025-06-20 DOI: 10.1016/j.physd.2025.134800

F. Cianfrani , G. Montani

{"title":"Turbulent features near the X point of a DTT-like tokamak plasma: Electro-static and electro-magnetic fluid simulations","authors":"F. Cianfrani , G. Montani","doi":"10.1016/j.physd.2025.134800","DOIUrl":"10.1016/j.physd.2025.134800","url":null,"abstract":"<div><div>The background magnetic geometry at the edge of a tokamak plasma has to be designed in order to mitigate the particle and energy looses essentially due to turbulent transport. The Divertor-Tokamak-Test (DTT) facility under construction at ENEA Frascati will test several magnetic configurations and mitigation strategies, that are usually based on the realization of nontrivial topologies in which one or more X points are present. In order to get a clear understanding of turbulent transport near one of such X points, we perform 3D fluid simulations of tokamak edge plasma for a DTT-like scenario. We will outline: (i) the resulting turbulent spectral features and their dependence on some model parameters (the background pressure gradients and diffusivity) and on the magnetic geometry through a comparative analysis with the results of the companion paper Cianfrani and Montani (2024), (ii) the connection between small scale poloidal structures and toroidal asymmetries, (iii) the formation of quiescent regions, (iv) the crucial role of radial Dirichlet boundary conditions for the excitation of zonal flows that can screen the radial component of the magnetic field, (v) the impact of magnetic fluctuations.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"481 ","pages":"Article 134800"},"PeriodicalIF":2.7,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144366025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0