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Taming the instabilities inherent to many nonlinear optical phenomena is of paramount importance for modern photonics. In particular, the so-called snake instability is universally known to severely distort localized wave stripes, leading…

We study self propelled stokesian robots composed of assemblies of balls, in dimensions 2 and 3, and prove that they are able to control their position and orientation. This is a result of controllability, and its proof relies on applying…

Optimization and Control · Mathematics 2015-02-12 François Alouges , Antonio DeSimone , Luca Heltai , Aline Lefebvre , Benoît Merlet

In this paper, we propose a novel strategy for a snake robot to move straight up a cylindrical surface. Prior works on pole-climbing for a snake robot mainly utilized a rolling helix gait, and although proven to be efficient, it does not…

Robotics · Computer Science 2023-09-13 Shuoqi Chen , Aaron Roth

The gaits of undulating animals arise from a complex interaction of their central nervous system, muscle, connective tissue, bone, and environment. As a simplifying assumption, many previous studies have often assumed that sufficient…

Biological Physics · Physics 2023-05-31 Brian Van Stratum , Jonathan E. Clark , Kourosh Shoele

Bipedal animals have diverse morphologies and advanced locomotion abilities. Terrestrial birds, in particular, display agile, efficient, and robust running motion, in which they exploit the interplay between the body segment masses and…

Robotics · Computer Science 2020-02-14 Özge Drama , Alexander Badri-Spröwitz

We consider the optimal dynamics in the infinite population evolution models with general symmetric fitness landscape. The search of optimal evolution trajectories are complicated due to sharp transitions (like shock waves) in evolution…

Populations and Evolution · Quantitative Biology 2009-08-18 David B. Saakian , Jose F. Fontanari

Common gastropods such as snails crawl on a solid substrate by propagating muscular waves of shear stress on a viscoelastic mucus. Producing the mucus accounts for the largest component in the gastropod's energy budget, more than twenty…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga , A. E. Hosoi

In this paper, we propose a method for generating undulatory gaits for snake robots. Instead of starting from a pre-defined movement pattern such as a serpenoid curve, we use a Model Predictive Control approach to automatically generate…

Robotics · Computer Science 2020-10-19 Emily Hannigan , Bing Song , Gagan Khandate , Maximilian Haas-Heger , Ji Yin , Matei Ciocarlie

Rectilinear forms of snake-like robotic locomotion are anticipated to be an advantage in obstacle-strewn scenarios characterizing urban disaster zones, subterranean collapses, and other natural environments. The elongated, laterally-narrow…

Robotics · Computer Science 2019-08-21 Alexander H. Chang , Shiyu Feng , Yipu Zhao , Justin S. Smith , Patricio A. Vela

This paper presents a bio-inspired central pattern generator (CPG)-type architecture for learning optimal maneuvering control of periodic locomotory gaits. The architecture is presented here with the aid of a snake robot model problem…

Systems and Control · Electrical Eng. & Systems 2019-10-08 Tixian Wang , Amirhossein Taghvaei , Prashant G. Mehta

Undulatory locomotion is ubiquitous in nature and observed in different media, from the swimming of flagellated microorganisms in biological fluids, to the slithering of snakes on land, or the locomotion of sandfish lizards in sand. Despite…

Fluid Dynamics · Physics 2017-01-03 Zhiwei Peng , On Shun Pak , Gwynn J. Elfring

High performance quantum computing requires a calibration system that learns optimal control parameters much faster than system drift. In some cases, the learning procedure requires solving complex optimization problems that are non-convex,…

Quantum Physics · Physics 2020-07-01 Paul V. Klimov , Julian Kelly , John M. Martinis , Hartmut Neven

In order to generalize the well-known spanwise-oscillating-wall technique for drag reduction, non-sinusoidal oscillations of a solid wall are considered as a means to alter the skin-friction drag in a turbulent channel flow. A series of…

We study the properties of least time trajectories for particles moving on a two dimensional surface which consists of piecewise homogeneous regions. The particles are assumed to move with different constant speeds on different regions and…

Classical Physics · Physics 2011-06-07 Pratik Mandrekar , Toby Joseph

Land snails move via adhesive locomotion. Through muscular contraction and expansion of their foot, they transmit waves of shear stress through a thin layer of mucus onto a solid substrate. Since a free surface cannot support shear stress,…

Biological Physics · Physics 2008-10-02 Sungyon Lee , John W. M. Bush , A. E. Hosoi , Eric Lauga

Propulsion at microscopic scales is often achieved through propagating traveling waves along hair-like organelles called flagella. Taylor's two-dimensional swimming sheet model is frequently used to provide insight into problems of…

Fluid Dynamics · Physics 2014-06-05 Thomas D. Montenegro-Johnson , Eric Lauga

We study the parameterized complexity of a variant of the classic video game Snake that models real-world problems of motion planning. Given a snake-like robot with an initial position and a final position in an environment (modeled by a…

Data Structures and Algorithms · Computer Science 2019-03-07 Siddharth Gupta , Guy Sa'ar , Meirav Zehavi

We consider arbitrary-shaped microswimmers of spherical topology and propose a framework for expressing their slip velocity in terms of tangential basis functions defined on the boundary of the swimmer using the Helmholtz decomposition.…

Fluid Dynamics · Physics 2026-04-14 Kausik Das , Hai Zhu , Marc Bonnet , Shravan Veerapaneni

The "squirmer model" is a classical hydrodynamic model for the motion of interfacially-driven microswimmers, such as self-phoretic colloids or volvocine green algae. To date, most studies using the squirmer model have considered spherical…

Soft Condensed Matter · Physics 2023-10-31 Ruben Poehnl , William E. Uspal

The levels of agility and flight or swimming performance demonstrated by insects, birds, fish, and even some aquatic invertebrates, are often vastly superior to what even the most advanced human-engineered vehicles operating in the same…

Fluid Dynamics · Physics 2021-12-21 Christoph Busch , Alexander Gehrke , Karen Mulleners
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