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To traverse complex three-dimensional terrainwith large obstacles, animals and robots must transition across different modes. However, the most mechanistic understanding of terrestrial locomotion concerns how to generate and stabilize…

Biological Physics · Physics 2025-09-23 Ratan Othayoth , Qihan Xuan , Yaqing Wang , Chen Li

Despite contending with constraints imposed by the environment, morphology, and physiology, animals move well by physically interactingwith the environment to use and transition between modes such as running, climbing, and self-righting. By…

Biological Physics · Physics 2023-04-11 Ratan Othayoth

The long-standing, dominant approach to robotic obstacle negotiation relies on mapping environmental geometry to avoid obstacles. However, this approach does not allow for traversal of cluttered obstacles, hindering applications such as…

Robotics · Computer Science 2025-09-19 Yaqing Wang , Ling Xu , Chen Li

Robots still struggle to dynamically traverse complex 3-D terrain with many large obstacles, an ability required for many critical applications. Body-obstacle interaction is often inevitable and induces perturbation and uncertainty in…

Small animals and robots must often rapidly traverse large bump-like obstacles when moving through complex 3-D terrains, during which, in addition to leg-ground contact, their body inevitably comes into physical contact with the obstacles.…

Biological Physics · Physics 2025-09-18 Sean W. Gart , Chen Li

To traverse complex natural terrain, animals often transition between locomotor modes. It is well known that locomotor transitions can be induced by switching in neural control circuits or be driven by a need to minimize metabolic energetic…

Biological Physics · Physics 2025-09-29 Yaqing Wang , Ratan Othayoth , Chen Li

It is well known that animals can use neural and sensory feedback via vision, tactile sensing, and echolocation to negotiate obstacles. Similarly, most robots use deliberate or reactive planning to avoid obstacles, which relies on prior…

Biological Physics · Physics 2025-09-18 Sean W. Gart , Changxin Yan , Ratan Othayoth , Zhiyi Ren , Chen Li

Many applications require robots to move through complex 3-D terrain with large obstacles, such as self-driving, search and rescue, and extraterrestrial exploration. Although robots are already excellent at avoiding sparse obstacles, they…

Robotics · Computer Science 2025-09-15 Qihan Xuan , Chen Li

Despite the progress in legged robotic locomotion, autonomous navigation in unknown environments remains an open problem. Ideally, the navigation system utilizes the full potential of the robots' locomotion capabilities while operating…

Robotics · Computer Science 2023-02-15 Jonas Frey , David Hoeller , Shehryar Khattak , Marco Hutter

Legged locomotion is commonly studied and expressed as a discrete set of gait patterns, like walk, trot, gallop, which are usually treated as given and pre-programmed in legged robots for efficient locomotion at different speeds. However,…

Robotics · Computer Science 2021-11-03 Zipeng Fu , Ashish Kumar , Jitendra Malik , Deepak Pathak

Robots are still poor at traversing cluttered large obstacles required for important applications like search and rescue. By contrast, animals are excellent at doing so, often using direct physical interaction with obstacles rather than…

Robotics · Computer Science 2022-03-15 Bokun Zheng , Qihan Xuan , Chen Li

The energy landscapes of proteins have evolved to be different from most random heteropolymers. Many studies have concluded that evolutionary selection for rapid and reliable folding to a given structure that is stable at biological…

Disordered Systems and Neural Networks · Physics 2009-11-10 Steven S. Plotkin , Peter G. Wolynes

Random walks on multidimensional nonlinear landscapes are of interest in many areas of science and engineering. In particular, properties of adaptive trajectories on fitness landscapes determine population fates and thus play a central role…

Populations and Evolution · Quantitative Biology 2014-10-08 Michael Manhart , Alexandre V. Morozov

A central goal of protein-folding theory is to predict the stochastic dynamics of transition paths --- the rare trajectories that transit between the folded and unfolded ensembles --- using only thermodynamic information, such as a…

Biomolecules · Quantitative Biology 2018-08-09 William M. Jacobs , Eugene I. Shakhnovich

Snakes can traverse almost all types of environments by bending their elongate bodies in 3-D to interact with the terrain. Similarly, a snake robot is a promising platform to perform critical tasks in various environments. Understanding how…

Biological Physics · Physics 2023-02-23 Qiyuan Fu

Many problems in physics, material sciences, chemistry and biology can be abstractly formulated as a system that navigates over a complex energy landscape of high or infinite dimensions. Well-known examples include phase transitions of…

Numerical Analysis · Mathematics 2025-10-20 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

We study transition paths in energy landscapes over multi-categorical Potts configurations using the mean-field approach introduced by Mauri et al., {\em Phys Rev Lett 130, 158402 (2023)}. Paths interpolate between two fixed configurations…

Quantitative Methods · Quantitative Biology 2023-06-27 Eugenio Mauri , Simona Cocco , Rémi Monasson

In legged locomotion, the relationship between different gait behaviors and energy consumption must consider the full-body dynamics and the robot control as a whole, which cannot be captured by simple models. This work studies the robot…

Robotics · Computer Science 2021-05-04 Christopher McGreavy , Zhibin Li

Taking inspiration from the natural gait transition mechanism of quadrupeds, devising a good gait transition strategy is important for quadruped robots to achieve energy-efficient locomotion on various terrains and velocities. While…

Robotics · Computer Science 2024-10-15 Daoxun Zhang , Xieyuanli Chen , Zhengyu Zhong , Ming Xu , Zhiqiang Zheng , Huimin Lu

Most locomotion methods for humanoid robots focus on leg-based gaits, yet natural bipeds frequently rely on hands, knees, and elbows to establish additional contacts for stability and support in complex environments. This paper introduces…

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