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The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors,…

Several stochastic simulation algorithms (SSAs) have been recently proposed for modelling reaction-diffusion processes in cellular and molecular biology. In this paper, two commonly used SSAs are studied. The first SSA is an on-lattice…

生物物理 · 物理学 2015-05-13 Radek Erban , S Jonathan Chapman

Exoskeletons have been shown to effectively assist humans during steady locomotion. However, their effects on non-steady locomotion, characterized by nonlinear phase progression within a gait cycle, remain insufficiently explored,…

机器人学 · 计算机科学 2025-08-14 Xiaowei Tan , Weizhong Jiang , Bi Zhang , Wanxin Chen , Yiwen Zhao , Ning Li , Lianqing Liu , Xingang Zhao

The elastic interaction, induced by the lattice distortion due to the difference of the molecular size, causes an effective long-range interaction. In spin-crossover (SC) compounds, local bistable states, i.e., high-spin and low-spin states…

统计力学 · 物理学 2015-07-31 Masamichi Nishino , Seiji Miyashita

This work examines the snap-through behavior of a clamped-clamped elastica made from initially flat, thin, cut sheets under increasing vertical concentrated load acting at midspan. A two-parameter, symmetric pattern is introduced to conduct…

软凝聚态物质 · 物理学 2026-05-26 Eszter Fehér

The goal of this article is to contribute towards the conceptual and quantitative understanding of the evolutionary benefits for (microbial) populations to maintain a seed bank (consisting of dormant individuals) when facing fluctuating…

概率论 · 数学 2024-07-02 Jochen Blath , Felix Hermann , Martin Slowik

Cooperative interactions pervade in a broad range of many-body populations, such as ecological communities, social organizations, and economic webs. We investigate the dynamics of a population of two equivalent species A and B that are…

种群与进化 · 定量生物学 2025-01-14 Jordi Piñero , S. Redner , Ricard Solé

The process of finding activated transitions in localized spin systems with continuous degrees of freedom is developed based on a magnetic variant of the Activation-Relaxation Technique (mART). In addition to the description of the method…

其他凝聚态物理 · 物理学 2023-11-20 H. Bocquet , P. M. Derlet

Collective human movement is a hallmark of complex systems, exhibiting emergent order across diverse settings, from pedestrian flows to biological collectives. In high-speed scenarios, alignment interactions ensure efficient flow and…

物理与社会 · 物理学 2025-06-03 Debasish Sarker , Yi Zhang , Lynn K. Perry , Daniel S. Messinger , Chaoming Song

We show that peculiar collective dynamics called slow switching arises in a population of leaky integrate-and-fire oscillators with delayed, all-to-all pulse-couplings. By considering the stability of cluster states and symmetry possessed…

无序系统与神经网络 · 物理学 2009-11-10 Hiroshi Kori

A coupled atomistic spin and lattice dynamics approach is developed which merges the dynamics of these two degrees of freedom into a single set of coupled equations of motion. The underlying microscopic model comprises local exchange…

材料科学 · 物理学 2018-01-24 J. Fransson , D. Thonig , P. F. Bessarab , S . Bhattacharjee , J. Hellsvik , L. Nordström

Although typically possessing four limbs and short bodies, lizards have evolved a diversity of body plans, from short-bodied and fully-limbed to elongate and nearly limbless. Such diversity in body morphology is hypothesized as adaptations…

生物物理 · 物理学 2022-08-10 Baxi Chong , Tianyu Wang , Eva Erickson , Philip J Bergmann , Daniel I. Goldman

The spring-mass system studied in undergraduate physics laboratories may exhibit complex dynamics due to the simultaneous action of gravitational and elastic forces in addition to air friction. In the first part of this paper, we describe a…

物理教育 · 物理学 2014-02-24 Ilario Boscolo , Fabrizio Castelli , Marco Stellato , Stefano Vercellati

The discontinuous jump in the bulk modulus $B$ at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying under-coordinated…

软凝聚态物质 · 物理学 2019-04-03 Danilo B. Liarte , Xiaoming Mao , Olaf Stenull , T. C. Lubensky

A discrete delay is included to model the time between the capture of the prey and its conversion to viable biomass in the simplest classical Gause type predator-prey model that has equilibrium dynamics without delay. As the delay increases…

动力系统 · 数学 2020-08-03 Guihong Fan , Gail S. K. Wolkowicz

Functional autonomous systems often realize complex tasks by utilizing state machines comprised of discrete primitive behaviors and transitions between these behaviors. This architecture has been widely studied in the context of…

机器人学 · 计算机科学 2023-09-18 Wyatt Ubellacker , Noel Csomay-Shanklin , Tamas G. Molnar , Aaron D. Ames

In the era of (multi-modal) large language models, most operational processes can be reformulated and reproduced using LLM agents. The LLM agents can perceive, control, and get feedback from the environment so as to accomplish the given…

人工智能 · 计算机科学 2024-12-31 Yingxuan Yang , Qiuying Peng , Jun Wang , Ying Wen , Weinan Zhang

One of the most important problems in contemporary science, and especially in biology, is to reveal mechanisms of pattern formation. On the level of biological tissues, patterns form due to interactions between cells. These interactions can…

元胞自动机与格子气 · 物理学 2020-07-23 Manan'Iarivo Rasolonjanahary , Bakhtier Vasiev

This paper proposes an adaptive primal-dual dynamics for distributed optimization in multi-agent systems. The proposed dynamics incorporates an adaptive synchronization law that reinforces the interconnection strength between the primal…

最优化与控制 · 数学 2019-05-03 P. A. Bansode , K. C. Kosaraju , S. R. Wagh , R. Pasumarthy , N. M. Singh

Non-autonomous dynamical systems help us to understand the implications of real systems which are in contact with their environment as it actually occurs in nature. Here, we focus on systems where a parameter changes with time at small but…

混沌动力学 · 物理学 2020-09-24 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán