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In this paper we are interested to the zygodactyly phenomenon in birds, and in particolar in parrots. This arrangement, common in species living on trees, is a distribution of the foot with two toes facing forward and two back. We give a…

Optimization and Control · Mathematics 2014-04-09 Anna Chiara Lai , Paola Loreti

The natural wind environment that volant insects encounter is unsteady and highly complex, posing significant flight control and stability challenges. Unsteady airflows can range from structured chains of discrete vortices shed in the wake…

Biological Physics · Physics 2016-03-03 Sridhar Ravi , Dmitry Kolomenskiy , Thomas Engels , Kai Schneider , Chun Wang , Joern Sesterhenn , Hao Liu

Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates fluctuations in a class of random dynamical systems, arising from randomly perturbing a…

Dynamical Systems · Mathematics 2025-05-30 Cecilia González-Tokman , Joshua Peters

Frictional motion is harder to initiate than to sustain, as evident when pushing a heavy object. This disparity between static and kinetic friction drives instabilities and stick-slip dynamics in systems ranging from nanodevices and MEMS to…

Soft Condensed Matter · Physics 2025-10-17 Kasra Farain , Daniel Bonn

Wing articulation is critical for efficient flight of bird- and bat-sized animals. Inspired by the flight of $\textit{Cynopterus brachyotis}$, the lesser short-nosed fruit bat, we built a two-degree-of-freedom flapping wing platform with…

Fluid Dynamics · Physics 2024-11-05 Xiaozhou Fan , Alberto Bortoni , Siyang Hao , Sharon Swartz , Kenneth Breuer

Tipping points have been shown to be ubiquitous, both in models and empirically in a range of physical and biological systems. The question of how tipping points cascade through systems has been less well studied and is an important one. A…

Dynamical Systems · Mathematics 2020-11-19 Abhishek Mallela , Alan Hastings

Generalizable manipulation requires that robots be able to interact with novel objects and environment. This requirement makes manipulation extremely challenging as a robot has to reason about complex frictional interaction with uncertainty…

Robotics · Computer Science 2023-01-18 Yuki Shirai , Devesh K. Jha , Arvind Raghunathan , Diego Romeres

Many natural and engineering systems involve the mixing of two fluid streams, in which the effects of density and viscosity gradients play important roles in determining flow stability. We perform linear stability calculations for a jet…

Fluid Dynamics · Physics 2023-02-08 Jinwei Yang , Vinod Srinivasan

Turing instabilities for a two species reaction-diffusion systems is studied under anisotropic diffusion. More specifically, the diffusion constants which characterize the ability of the species to relocate in space are direction sensitive.…

Statistical Mechanics · Physics 2015-09-30 Daniel M. Busiello , Gwendoline Planchon , Malbor Asllani , Timoteo Carletti , Duccio Fanelli

We present the extension of previous two-dimensional simulations of the time-dependent evolution of non-relativistic outflows from the surface of Keplerian accretion disks, to three dimensions. The accretion disk itself is taken to provide…

Astrophysics · Physics 2009-11-07 R. Ouyed , D. A. Clarke , R. E. Pudritz

Due to their large mass and small aspect ratio, icebergs pose a threat to boats and offshore structures. Small icebergs and bergy bits can cause harm to platform hulls and are more difficult to discover remotely. As icebergs are dynamic…

Atmospheric and Oceanic Physics · Physics 2021-04-07 Trygve K. Løken , Aleksey Marchenko , Jean Rabault , Olav Gundersen , Atle Jensen

Step meandering instability in a Burton-Cabrera-Frank (BCF)-type model for the growth of an isolated, atomically high step on a crystal surface is analyzed. It is assumed that the growth is sustained by the molecular precursors deposition…

Materials Science · Physics 2015-06-18 Mikhail Khenner

Present work deals with the dynamics of vehicles which intentionally operate in the ground proximity. The dynamics in ground effect is influenced by the vehicle orientation with respect to the ground, since the aerodynamic force and moment…

Classical Physics · Physics 2009-12-18 Nicola de Divitiis

Inspired by the turf-ball interaction in golf, this paper seeks to understand the bounce of a ball that can be modelled as a rigid sphere and the surface as supplying an elasto-plastic contact force in addition to Coulomb friction. A…

Dynamical Systems · Mathematics 2022-08-25 Stanisław W. Biber , Alan R. Champneys , Robert Szalai

Flapping wings enable flying animals and biomimetic robots to generate elevated aerodynamic forces. Measurements that demonstrate this capability are based on tethered experiments with robots and animals, and indirect force calculations…

Fluid Dynamics · Physics 2014-09-02 David Lentink , Andreas F. Haselsteiner , Rivers Ingersoll

We study the stable behaviour of discrete dynamical systems where the map is convex and monotone with respect to the standard positive cone. The notion of tangential stability for fixed points and periodic points is introduced, which is…

Dynamical Systems · Mathematics 2011-06-20 Marianne Akian , Stephane Gaubert , Bas Lemmens

Jumping is an efficient locomotion strategy to traverse cluttered, uneven, or unstable environments in nature, yet replicating continuous, autonomous leaping in soft robots remains challenging due to limited energy storage and reliance on…

Applied Physics · Physics 2025-10-13 Fangjie Qi , Caizhi Zhou , Haitao Qing , Haoze Sun , Jie Yin

Quadruped animals seamlessly transition between gaits as they change locomotion speeds. While the most widely accepted explanation for gait transitions is energy efficiency, there is no clear consensus on the determining factor, nor on the…

Robotics · Computer Science 2023-06-16 Milad Shafiee , Guillaume Bellegarda , Auke Ijspeert

The problem of autonomous launch and landing of a tethered rigid aircraft for airborne wind energy generation is addressed. The system operates with ground-based power conversion and pumping cycles, where the tether is repeatedly reeled in…

Systems and Control · Computer Science 2016-08-08 Eric Nguyen Van , Lorenzo Fagiano , Stephan Schnez

We consider the effect on tipping from an additive periodic forcing in a canonical model with a saddle node bifurcation and a slowly varying bifurcation parameter. Here tipping refers to the dramatic change in dynamical behavior…

Classical Analysis and ODEs · Mathematics 2015-08-28 Jielin Zhu , Rachel Kuske , Thomas Erneux