arXiv - PHYS - Chaotic Dynamics最新文献_第7页

Entanglement properties of optomagnonic crystal from nonlinear perspective 从非线性角度看光磁晶体的纠缠特性

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-13 DOI: arxiv-2406.09074

M. Wanic, C. Jasiukiewicz, Z. Toklikishvili, V. Jandieri, M. Trybus, E. Jartych, S. K. Mishra, L. Chotorlishvili

{"title":"Entanglement properties of optomagnonic crystal from nonlinear perspective","authors":"M. Wanic, C. Jasiukiewicz, Z. Toklikishvili, V. Jandieri, M. Trybus, E. Jartych, S. K. Mishra, L. Chotorlishvili","doi":"arxiv-2406.09074","DOIUrl":"https://doi.org/arxiv-2406.09074","url":null,"abstract":"Optomagnonics is a new field of research in condensed matter physics and\u0000quantum optics focused on strong magnon-photon interactions. Particular\u0000interest concerns realistic, experimentally feasible materials and prototype\u0000cheap elements for futuristic nanodevices implemented in the processing or\u0000storing of quantum information. Quantifying the entanglement between two\u0000continuous bosonic modes, such as magnons and photons, is not trivial. The\u0000state-of-the-art for today is the logarithmic negativity, calculated through\u0000the quantum Langevin equations subjected to thermal noise. However, due to its\u0000complexity, this method requires further approximation. In the present work, we\u0000propose a new procedure that avoids the linearization of dynamics. Prior\u0000analyzing the quantum entanglement, we explore the nonlinear semiclassical\u0000dynamics in detail and precisely define the phase space. The typical nonlinear\u0000dynamical system holds bifurcation points and fixed points of different\u0000characters in its phase space. Our main finding is that entanglement is not\u0000defined in the Saddle Point region. On the other hand, the maximum of the\u0000entanglement corresponds to the region near the border between the Stable node\u0000and Stable spiral regions. In numerical calculations, we considered a\u0000particular system: optomagnonic crystal based on the yttrium iron garnet (YIG)\u0000slab with the periodic air holes drilled in the slab. In our case,\u0000Magnon-photon interaction occurs due to the magneto-electric effect in YIG. We\u0000provide explicit derivation of the coupling term. Besides, we calculate photon\u0000modes for a particular geometry of the optomagnonic crystal. We analyzed the\u0000amplitude-frequency characteristics of the optomagnonic crystal and showed that\u0000due to the instability region, one could efficiently switch the mean magnon\u0000numbers in the system and control entanglement in the system.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515166","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

Universal Scale Laws for Colors and Patterns in Imagery 图像中颜色和图案的通用比例法则

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-12 DOI: arxiv-2406.08149

Rémi Michel, Mohamed Tamaazousti

引用次数: 0

Ratchet current and scaling properties in a nontwist mapping 非扭曲映射中的棘轮电流和缩放特性

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-10 DOI: arxiv-2406.06175

Matheus Rolim Sales, Daniel Borin, Leonardo Costa de Souza, José Danilo Szezech Jr., Ricardo Luiz Viana, Iberê Luiz Caldas, Edson Denis Leonel

引用次数: 0

Memory principle of the Matlab code for Lyapunov Exponents of fractional order 小数阶 Lyapunov 指数 Matlab 代码的内存原理

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-07 DOI: arxiv-2406.04686

Marius-F. Danca, Michal feckan

引用次数: 0

Chaotic magnetization dynamics driven by feedback magnetic field 反馈磁场驱动的混沌磁化动力学

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-07 DOI: arxiv-2406.05296

Tomohiro Taniguchi

{"title":"Chaotic magnetization dynamics driven by feedback magnetic field","authors":"Tomohiro Taniguchi","doi":"arxiv-2406.05296","DOIUrl":"https://doi.org/arxiv-2406.05296","url":null,"abstract":"An excitation of highly nonlinear, complex magnetization dynamics in a\u0000ferromagnet, for example chaos, is a new research target in spintronics. This\u0000technology is applied to practical applications such as random number generator\u0000and information processing systems. One way to induce complex dynamics is\u0000applying feedback effect to the ferromagnet. The role of the feedback electric\u0000current on the magnetization dynamics was studied in the past. However, there\u0000is another way to apply feedback effect to the ferromagnet, namely feedback\u0000magnetic field. In this paper, we developed both numerical and theoretical\u0000analyses on the role of the feedback magnetic field causing complex\u0000magnetization dynamics. The numerical simulation indicates the change of the\u0000dynamical behavior from a simple oscillation with a unique frequency to complex\u0000dynamics such as amplitude modulation and chaos. The theoretical analyses on\u0000the equation of motion qualitatively explain several features found in the\u0000numerical simulations, exemplified as an appearance of multipeak structure in\u0000the Fourier spectra. The difference of the role of the feedback electric\u0000current and magnetic field is also revealed from the theoretical analyses.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515169","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

An investigation of escape and scaling properties of a billiard system 台球系统的逃逸和缩放特性研究

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-06 DOI: arxiv-2406.04479

Matheus Rolim Sales, Daniel Borin, Diogo Ricardo da Costa, José Danilo Szezech Jr., Edson Denis Leonel

引用次数: 0

Dynamics and non-integrability of the double spring pendulum 双弹簧摆的动力学和不稳定性

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-04 DOI: arxiv-2406.02200

Wojciech Szumiński, Andrzej J. Maciejewski

{"title":"Dynamics and non-integrability of the double spring pendulum","authors":"Wojciech Szumiński, Andrzej J. Maciejewski","doi":"arxiv-2406.02200","DOIUrl":"https://doi.org/arxiv-2406.02200","url":null,"abstract":"This paper investigates the dynamics and integrability of the double spring\u0000pendulum, which has great importance in studying nonlinear dynamics, chaos, and\u0000bifurcations. Being a Hamiltonian system with three degrees of freedom, its\u0000analysis presents a significant challenge. To gain insight into the system's\u0000dynamics, we employ various numerical methods, including Lyapunov exponents\u0000spectra, phase-parametric diagrams, and Poincar'e cross-sections. The novelty\u0000of our work lies in the integration of these three numerical methods into one\u0000powerful tool. We provide a comprehensive understanding of the system's\u0000dynamics by identifying parameter values or initial conditions that lead to\u0000hyper-chaotic, chaotic, quasi-periodic, and periodic motion, which is a novel\u0000contribution in the context of Hamiltonian systems. In the absence of\u0000gravitational potential, the system exhibits $S^1$ symmetry, and the presence\u0000of an additional first integral was identified using Lyapunov exponents\u0000diagrams. We demonstrate the effective utilisation of Lyapunov exponents as a\u0000potential indicator of first integrals and integrable dynamics. The numerical\u0000analysis is complemented by an analytical proof regarding the non-integrability\u0000of the system. This proof relies on the analysis of properties of the\u0000differential Galois group of variational equations along specific solutions of\u0000the system. To facilitate this analysis, we utilised a newly developed\u0000extension of the Kovacic algorithm specifically designed for fourth-order\u0000differential equations. Overall, our study sheds light on the intricate\u0000dynamics and integrability of the double spring pendulum, offering new insights\u0000and methodologies for further research in this field. The article has been published in JSV, and the final version is available at\u0000this link: https://doi.org/10.1016/j.jsv.2024.118550","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254604","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

Synchronization of two coupled phase oscillators in the time-delayed second-order Kuramoto model 时延二阶仓本模型中两个耦合相位振荡器的同步化

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-03 DOI: arxiv-2406.01208

Esmaeil Mahdavi, Mina Zarei, Farhad Shahbazi

引用次数: 0

Chaos controlled and disorder driven phase transitions by breaking permutation symmetry 通过打破排列对称性实现混沌控制和无序驱动相变

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-06-01 DOI: arxiv-2406.00521

Manju C, Arul Lakshminarayan, Uma Divakaran

引用次数: 0

Cyclic image generation using chaotic dynamics 利用混沌动力学生成循环图像

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-31 DOI: arxiv-2405.20717

Takaya Tanaka, Yutaka Yamaguti

{"title":"Cyclic image generation using chaotic dynamics","authors":"Takaya Tanaka, Yutaka Yamaguti","doi":"arxiv-2405.20717","DOIUrl":"https://doi.org/arxiv-2405.20717","url":null,"abstract":"Successive image generation using cyclic transformations is demonstrated by\u0000extending the CycleGAN model to transform images among three different\u0000categories. Repeated application of the trained generators produces sequences\u0000of images that transition among the different categories. The generated image\u0000sequences occupy a more limited region of the image space compared with the\u0000original training dataset. Quantitative evaluation using precision and recall\u0000metrics indicates that the generated images have high quality but reduced\u0000diversity relative to the training dataset. Such successive generation\u0000processes are characterized as chaotic dynamics in terms of dynamical system\u0000theory. Positive Lyapunov exponents estimated from the generated trajectories\u0000confirm the presence of chaotic dynamics, with the Lyapunov dimension of the\u0000attractor found to be comparable to the intrinsic dimension of the training\u0000data manifold. The results suggest that chaotic dynamics in the image space\u0000defined by the deep generative model contribute to the diversity of the\u0000generated images, constituting a novel approach for multi-class image\u0000generation. This model can be interpreted as an extension of classical\u0000associative memory to perform hetero-association among image categories.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254876","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