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Animals use a combination of egocentric navigation driven by the internal integration of environmental cues, interspersed with geocentric course correction and reorientation, often with uncertainty in sensory acquisition of information,…

Biological Physics · Physics 2015-12-22 O. Peleg , L. Mahadevan

Navigating toward a known target in a noisy environment is a fundamental problem shared across biological, physical, and engineered systems. Although optimal strategies are often framed in terms of continuous, fine-grained feedback, we show…

Statistical Mechanics · Physics 2025-12-24 Abhijit Sinha , Sandeep Jangid , Tridib Sadhu , Shankar Ghosh

Navigation up a sensory gradient is one of the simplest behaviours, and the simplest strategy is run and tumble. But some organisms use other strategies, such as reversing direction or turning by some angle. Here we ask what drives the…

Animal locomotion is often subject to constraints arising from anatomical/physiological asymmetries. We use the nematode C.~elegans as a minimal model system to ask whether such constraints might shape locomotion patterns optimized during…

Neurons and Cognition · Quantitative Biology 2024-01-17 W. Mathijs Rozemuller , Steffen Werner , Antonio Carlos Costa , Liam O'Shaughnessy , Greg J. Stephens , Thomas S. Shimizu

Bird migration is an adaptive behavior ultimately aiming at optimizing survival and reproductive success. We propose an optimal switching model to study bird migration, where birds' migration behaviors can be efficiently modeled as…

Optimization and Control · Mathematics 2025-01-14 Jiawei Chu , King-Yeung Lam , Boyu Wang , Tong Wang

Efficient search acts as a strong selective force in biological systems ranging from cellular populations to predator-prey systems. The search processes commonly involve finding a stationary or mobile target within a heterogeneously…

Biological Physics · Physics 2018-01-03 Youness Azimzade , Alireza Mashaghi

Efficient navigation in swarms often relies on the emergence of decentralized approaches that minimize traversal time or energy. Stigmergy, where agents modify a shared environment that then modifies their behavior, is a classic mechanism…

Neurons and Cognition · Quantitative Biology 2026-01-08 Vishaal Krishnan , L. Mahadevan

In this paper, we conduct a literature review of laws of motion based on stochastic search strategies which are mainly focused on exploring highly dynamic environments. In this regard, stochastic search strategies represent an interesting…

Animals' internal states reflect variables like their position in space, orientation, decisions, and motor actions -- but how should these internal states be arranged? Internal states which frequently transition between one another should…

Neurons and Cognition · Quantitative Biology 2025-04-18 John J. Vastola

Navigation in complex and noisy environments is a key issue in diverse fields from biology to engineering. Despite extensive progress in numerical optimization methods for computing navigation policies, insights into how disorder reshapes…

Statistical Mechanics · Physics 2026-05-06 Kévin Bilaï Biloa , Olivier Pierre-Louis

We analyze a one-dimensional intermittent random walk on an unbounded domain in the presence of stochastic resetting. In this process, the walker alternates between local intensive search, diffusion, and rapid ballistic relocations in which…

Statistical Mechanics · Physics 2024-01-31 Rosa Flaquer-Galmés , Daniel Campos , Vicenç Méndez

Navigating mobile robots through environments shared with humans is challenging. From the perspective of the robot, humans are dynamic obstacles that must be avoided. These obstacles make the collision-free space nonconvex, which leads to…

Robotics · Computer Science 2023-03-15 O. de Groot , L. Ferranti , D. Gavrila , J. Alonso-Mora

We design new navigation strategies for travel time optimization of microscopic self-propelled particles in complex and noisy environments. In contrast to strategies relying on the results of optimal control theory, these protocols allow…

Statistical Mechanics · Physics 2022-10-05 Lorenzo Piro , Benoît Mahault , Ramin Golestanian

Active navigation in disordered media depends on a biased random walk interacting with environmental constraints. Using E. coli chemotactic navigation in agar gels as a model system, we reveal a fundamental trade-off between diffusive…

Soft Condensed Matter · Physics 2025-12-23 Yang Bai , Caiyun He , Weirong Liu , Songtao Cheng , Pan Chu , Liang Luo , Chenli Liu , Xiongfei Fu

Chaotic itinerancy is a frequently observed phenomenon in high-dimensional and nonlinear dynamical systems, and it is characterized by the random transitions among multiple quasi-attractors. Several studies have revealed that chaotic…

Robotics · Computer Science 2022-12-06 Katsuma Inoue , Kohei Nakajima , Yasuo Kuniyoshi

Animals employ different strategies for relating sensory input to behavioral output to navigate sensory environments, but what strategy to use, when to switch and why remain unclear. In C. elegans, navigation is composed of 'steering' and…

Neurons and Cognition · Quantitative Biology 2025-08-04 Kevin S. Chen , Andrew M. Leifer , Jonathan W. Pillow

The coordinated and efficient distribution of limited resources by individual decisions is a fundamental, unsolved problem. When individuals compete for road capacities, time, space, money, goods, etc., they normally make decisions based on…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Martin Schoenhof , Daniel Kern

Efficient path planning and navigation is critical for animals, robotics, logistics and transportation. We study a model in which spatial navigation problems can rapidly be solved in the brain by parallel mental exploration of alternative…

Neurons and Cognition · Quantitative Biology 2012-05-03 Filip Ponulak , John J. Hopfield

Robot navigation in dense human crowds poses a significant challenge due to the complexity of human behavior in dynamic and obstacle-rich environments. In this work, we propose a dynamic weight adjustment scheme using a neural network to…

Robotics · Computer Science 2024-12-03 Muqing Cao , Xinhang Xu , Yizhuo Yang , Jianping Li , Tongxing Jin , Pengfei Wang , Tzu-Yi Hung , Guosheng Lin , Lihua Xie

Pursuing a drifting target in a turbulent flow is an extremely difficult task whenever the searcher has limited propulsion and maneuvering capabilities. Even in the case when the relative distance between pursuer and target stays below the…

Fluid Dynamics · Physics 2023-10-02 Chiara Calascibetta , Luca Biferale , Francesco Borra , Antonio Celani , Massimo Cencini
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