arXiv - PHYS - Pattern Formation and Solitons最新文献

Geometrically constrained sine-Gordon field: BPS solitons and their collisions 几何约束正弦-戈登场：BPS 孤子及其碰撞

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-15 DOI: arxiv-2409.09767

E. da Hora, L. Pereira, C. dos Santos, F. C. Simas

引用次数: 0

(In)stability of symbiotic vortex-bright soliton in holographic immiscible binary superfluids (全息不相溶二元超流体中共生涡旋-亮孤子的（不）稳定性

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-12 DOI: arxiv-2409.08310

Yuping An, Li Li

{"title":"(In)stability of symbiotic vortex-bright soliton in holographic immiscible binary superfluids","authors":"Yuping An, Li Li","doi":"arxiv-2409.08310","DOIUrl":"https://doi.org/arxiv-2409.08310","url":null,"abstract":"Symbiotic vortex-bright soliton structures with non-trivial topological\u0000charge in one component are found to be robust in immiscibel two-component\u0000superfluids, due to the effective potential created by a stable vortex in the\u0000other component. We explore the properties of symbiotic vortex-bright soliton\u0000in strongly coupled binary superfluids by holography, which naturally\u0000incorporates finite temperature effect and dissipation. We show the dependence\u0000of the configuration on various parameters, including the winding number,\u0000temperature and inter-component coupling. We then study the (in)stability of\u0000symbiotic vortex-bright soliton by both the linear approach via quasi-normal\u0000modes and the full non-linear numerical simulation. Rich dynamics are found for\u0000the splitting patterns and dynamical transitions. Moreover, for giant symbiotic\u0000vortex-bright soliton structures with large winding numbers, the vortex\u0000splitting instability might be rooted in the Kelvin-Helmholtz instability. We\u0000also show that the second component in the vortex core could act as a\u0000stabilizer so as to suppress or even prevent vortex splitting instability. Such\u0000stabilization mechanism opens possibility for vortices with smaller winding\u0000number to merge into vortices with larger winding number, which is confirmed\u0000for the first time in our simulation.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142267934","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

Chimera state in neural network with the PID coupling 带有 PID 耦合的神经网络中的嵌合体状态

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-11 DOI: arxiv-2409.07624

Mahamat Abdoulaye Adamdine, Venceslas Nguefoue Meli, Steve J. Kongni, Thierry Njougouo, Patrick Louodop

{"title":"Chimera state in neural network with the PID coupling","authors":"Mahamat Abdoulaye Adamdine, Venceslas Nguefoue Meli, Steve J. Kongni, Thierry Njougouo, Patrick Louodop","doi":"arxiv-2409.07624","DOIUrl":"https://doi.org/arxiv-2409.07624","url":null,"abstract":"This study delves into the emergence of collective behaviors within a network\u0000comprising interacting cells. Each cell integrates a fixed number of neurons\u0000governed by an activation gradient based on Hopfield's model. The intra-cell\u0000interactions among neurons are local and directed, while inter-cell connections\u0000are facilitated through a PID (Proportional-Integral-Derivative) coupling\u0000mechanism. This coupling introduces an adaptable environmental variable,\u0000influencing the network dynamics significantly. Numerical simulations employing\u0000three neurons per cell across a network of fifty cells reveal diverse dynamics,\u0000including incoherence, coherence, synchronization, chimera states, and\u0000traveling wave. These phenomena are quantitatively assessed using statistical\u0000measures such as the order parameter, strength of incoherence, and\u0000discontinuity measure. Variations of the resistive, inductive, or capacitive\u0000couplings of the inter-cell environment are explored and their effects are\u0000analysed. Furthermore, the study identifies multistability in network dynamics,\u0000characterized by the coexistence of multiple stable states for the same set of\u0000parameters but with different initial conditions. A linear augmentation\u0000strategy is employed for its control.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142227120","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

Designing reaction-cross-diffusion systems with Turing and wave instabilities 设计具有图灵和波不稳定性的反应-交叉扩散系统

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-10 DOI: arxiv-2409.06860

Edgardo Villar-Sepúlveda, Alan R. Champneys, Andrew L. Krause

引用次数: 0

Pattern formation of bulk-surface reaction-diffusion systems in a ball 球体表面反应扩散系统的模式形成

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-10 DOI: arxiv-2409.06826

Edgardo Villar-Sepúlveda, Alan R. Champneys, Davide Cusseddu, Anotida Madzvamuse

引用次数: 0

Kink movement on a periodic background 周期性背景上的扭结运动

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-09 DOI: arxiv-2409.05436

Tomasz Dobrowolski, Jacek Gatlik, Panayotis G. Kevrekidis

引用次数: 0

Navigating with Stability: Local Minima, Patterns, and Evolution in a Gradient Damage Fracture Model 稳定导航：梯度损伤断裂模型中的局部极小值、模式和演变

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-06 DOI: arxiv-2409.04307

M. M. Terzi, O. U. Salman, D. Faurie, A. A. León Baldelli

{"title":"Navigating with Stability: Local Minima, Patterns, and Evolution in a Gradient Damage Fracture Model","authors":"M. M. Terzi, O. U. Salman, D. Faurie, A. A. León Baldelli","doi":"arxiv-2409.04307","DOIUrl":"https://doi.org/arxiv-2409.04307","url":null,"abstract":"In phase-field theories of brittle fracture, crack initiation, growth and\u0000path selection are investigated using non-convex energy functionals and a\u0000stability criterion. The lack of convexity with respect to the state poses\u0000difficulties to monolithic solvers that aim to solve for kinematic and internal\u0000variables, simultaneously. In this paper, we inquire into the effectiveness of\u0000quasi-Newton algorithms as an alternative to conventional Newton-Raphson\u0000solvers. These algorithms improve convergence by constructing a positive\u0000definite approximation of the Hessian, bargaining improved convergence with the\u0000risk of missing bifurcation points and stability thresholds. Our study focuses\u0000on one-dimensional phase-field fracture models of brittle thin films on elastic\u0000foundations. Within this framework, in the absence of irreversibility\u0000constraint, we construct an equilibrium map that represents all stable and\u0000unstable equilibrium states as a function of the external load, using\u0000well-known branch-following bifurcation techniques. Our main finding is that\u0000quasi-Newton algorithms fail to select stable evolution paths without exact\u0000second variation information. To solve this issue, we perform a spectral\u0000analysis of the full Hessian, providing optimal perturbations that enable\u0000quasi-Newton methods to follow a stable and potentially unique path for crack\u0000evolution. Finally, we discuss the stability issues and optimal perturbations\u0000in the case when the damage irreversibility is present, changing the\u0000topological structure of the set of admissible perturbations from a linear\u0000vector space to a convex cone.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217295","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

Dissipative Nonlinear Thouless Pumping of Temporal Solitons 时空孤子的耗散非线性无抽运

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-05 DOI: arxiv-2409.03450

Xuzhen Cao, Chunyu Jia, Ying Hu, Zhaoxin Liang

引用次数: 0

Vector rogue waves in spin-1 Bose-Einstein condensates with spin-orbit coupling 具有自旋轨道耦合的自旋-1 玻色-爱因斯坦凝聚体中的矢量无赖波

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-03 DOI: arxiv-2409.01613

Jun-Tao He, Hui-Jun Li, Ji Lin, Boris A. Malomed

{"title":"Vector rogue waves in spin-1 Bose-Einstein condensates with spin-orbit coupling","authors":"Jun-Tao He, Hui-Jun Li, Ji Lin, Boris A. Malomed","doi":"arxiv-2409.01613","DOIUrl":"https://doi.org/arxiv-2409.01613","url":null,"abstract":"We analytically and numerically study three-component rogue waves (RWs) in\u0000spin-1 Bose-Einstein condensates with Raman-induced spin-orbit coupling (SOC).\u0000Using the multiscale perturbative method, we obtain approximate analytical\u0000solutions for RWs with positive and negative effective masses, determined by\u0000the effective dispersion of the system. The solutions include RWs with smooth\u0000and striped shapes, as well as higher-order RWs. The analytical solutions\u0000demonstrate that the RWs in the three components of the system exhibit\u0000different velocities and their maximum peaks appear at the same spatiotemporal\u0000position, which is caused by SOC and interactions. The accuracy of the\u0000approximate analytical solutions is corroborated by comparison with direct\u0000numerical simulations of the underlying system. Additionally, we systematically\u0000explore existence domains for the RWs determined by the baseband modulational\u0000instability (BMI). Numerical simulations corroborate that, under the action of\u0000BMI, plane waves with random initial perturbations excite RWs, as predicted by\u0000the approximate analytical solutions.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217296","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

Dynamical phase transitions in the non-reciprocal Ising model 非互易伊辛模型中的动态相变

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-09-02 DOI: arxiv-2409.07481

Yael Avni, Michel Fruchart, David Martin, Daniel Seara, Vincenzo Vitelli

{"title":"Dynamical phase transitions in the non-reciprocal Ising model","authors":"Yael Avni, Michel Fruchart, David Martin, Daniel Seara, Vincenzo Vitelli","doi":"arxiv-2409.07481","DOIUrl":"https://doi.org/arxiv-2409.07481","url":null,"abstract":"Non-reciprocal interactions in many-body systems lead to time-dependent\u0000states, commonly observed in biological, chemical, and ecological systems. The\u0000stability of these states in the thermodynamic limit, as well as the\u0000criticality of the phase transition from static to time-dependent states\u0000remains an open question. To tackle these questions, we study a minimalistic\u0000system endowed with non-reciprocal interactions: an Ising model with two spin\u0000species having opposing goals. The mean-field equation predicts three stable\u0000phases: disordered, ordered, and a time-dependent swap phase. Large scale\u0000numerical simulations support the following: (i) in 2D, the swap phase is\u0000destabilized by defects; (ii) in 3D, the swap phase is stable, and has the\u0000properties of a time-crystal; (iii) the transition from disorder to swap in 3D\u0000is characterized by the critical exponents of the 3D XY model, in agreement\u0000with the emerging continuous symmetry of time translation invariance; (iv) when\u0000the two species have fully anti-symmetric couplings, the static-order phase is\u0000unstable in any dimension due to droplet growth; (v) in the general case of\u0000asymmetric couplings, static order can be restored by a droplet-capture\u0000mechanism preventing the droplets from growing indefinitely. We provide details\u0000on the full phase diagram which includes first- and second-order-like phase\u0000transitions and study the coarsening dynamics of the swap as well as the\u0000static-order phases.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217302","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