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The task of inducing, via continuous static state-feedback control, an asymptotically stable heteroclinic orbit in a nonlinear control system is considered in this paper. The main motivation comes from the problem of ensuring convergence to…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Christian Fredrik Sætre , Anton S. Shiriaev

This paper discusses the effect of sequential conflict resolution maneuvers of an infinite aircraft flow through a finite control volume. Aircraft flow models are utilized to simulate traffic flows and determine stability. Pseudo-random…

Optimization and Control · Mathematics 2010-10-05 Troy Hand , Zhi-Hong Mao , Eric Feron

We consider the simplified model of strategic allocation of trajectories in the airspace presented in a previous publication. Two types of companies, characterized by different cost functions, compete for allocation of trajectories in the…

Physics and Society · Physics 2016-10-14 Gérald Gurtner , Fabrizio Lillo

Birds have a remarkable ability to perform complex maneuvers at post-stall angles of attack. The passive deployment of self-actuating covert feathers in response to unsteady flow separation while performing such maneuvers provides a passive…

Fluid Dynamics · Physics 2022-03-02 Nirmal J. Nair , Andres Goza

A tube conveying a large amount of fluid with a free outlet does not sit still. We construct and analyze a nonlinear evolution equation describing such phenomena. Two types of boundary conditions at the inlet are considered, one for which…

Chaotic Dynamics · Physics 2007-05-23 S. Shima , T. Mizuguchi

Many physical systems can be modelled as parameter-dependent variational problems. In numerous cases, multiple equilibria co-exist, requiring the evaluation of their stability, and the monitoring of transitions between them. Generally, the…

Optimization and Control · Mathematics 2025-11-07 Siva Prasad Chakri Dhanakoti

As connected and autonomous vehicles become more widespread, platooning has emerged as a key strategy to improve road capacity, reduce fuel consumption, and enhance traffic flow. However, the benefits of platoons strongly depend on their…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oumaima Barhoumi , Ghazal Farhani , Taufiq Rahman , Mohamed H. Zaki , Sofiène Tahar

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

Fluid Dynamics · Physics 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

This study investigates the influence of aerofoil shape optimisation on blade aerodynamic performance under curvilinear and unsteady kinematics characteristic of vertical-axis turbines and cycloidal propellers. Using a cyclorotor in hover…

Fluid Dynamics · Physics 2026-03-10 Benjamin Irwin , David Toal , Swathi Krishna

Flapping-wing insects, birds, and robots are thought to offset the high power cost of oscillatory wing motion by using elastic elements for energy storage and return. Insects possess highly resilient elastic regions in their flight anatomy…

Biological Physics · Physics 2020-12-11 James Lynch , Jeffrey Gau , Simon Sponberg , Nick Gravish

A special type of rotary-wing Unmanned Aerial Vehicles (UAV), called Quadcopter have prevailed to the civilian use for the past decade. They have gained significant amount of attention within the UAV community for their redundancy and ease…

Dynamical Systems · Mathematics 2017-09-26 Mojtaba Hedayatpour , Mehran Mehrandezh , Farrokh Janabi-Sharifi

In this paper we analyze the dynamic stability of the hovering magnetic top from first principles without using any preliminary assumptions. We write down the equations of motion for all six degrees of freedom and solve them analytically…

Classical Physics · Physics 2009-10-31 Shahar Gov , Shmuel Shtrikman , Harry Thomas

Bristled and membranous insect wings have co-evolved despite apparently serving the same functionality. We emulate flight physics using an automated free-fall experiment to better understand how and why several distinct wing forms may have…

We study dynamics of a bimodal planar linear switched system with a Hurwitz stable and an unstable subsystem. For given \textit{flee time} from the unstable subsystem, the goal is to find corresponding \textit{dwell time} in the Hurwitz…

Dynamical Systems · Mathematics 2022-04-08 Swapnil Tripathi , Nikita Agarwal

We present a design of a bird-inspired morphing wing aircraft, including bionic research, modeling, simulation and flight experiments. Inspired by birds and activated by a planar linkage, our proposed aircraft has three key states: gliding,…

Systems and Control · Electrical Eng. & Systems 2020-07-08 Kun Xiao , Yuxin Chen , Wuyao Jiang , Chenyao Wang , Longfei Zhao

Functional proteins must fold with some minimal stability to a structure that can perform a biochemical task. Here we use a simple model to investigate the relationship between the stability requirement and the capacity of a protein to…

Biomolecules · Quantitative Biology 2009-11-10 Jesse D Bloom , Claus O Wilke , Frances H Arnold , Christoph Adami

In this letter, we report the first experimental demonstration of the recently emerged new paradigm in hovering and flapping flight physics called (Natural Hovering Extremum Seeking (NH-ES)) [doi.org/10.1103/4dm4-kc4g], which theorized that…

Robotics · Computer Science 2026-05-19 Ahmed A. Elgohary , Rohan Palanikumar , Simone Martini , Sameh A. Eisa

Turbulence grounds aircraft and combating it in flight requires energy, yet volant wildlife fly effortlessly even on windy days. The nature of the interactions between soaring birds and transient turbulent gusts is not clear, especially…

Biological Physics · Physics 2024-12-04 Dipendra Gupta , David Brandes , Michael J Lanzone , Tricia Miller , Gregory P Bewley

Many elastic structures exhibit rapid shape transitions between two possible equilibrium states: umbrellas become inverted in strong wind and hopper popper toys jump when turned inside-out. This snap-through is a general motif for the…

Soft Condensed Matter · Physics 2023-06-21 Basile Radisson , Eva Kanso

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
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