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The stability of the dynamical states characterized by a uniform firing rate ({\it splay states}) is analyzed in a network of globally coupled leaky integrate-and-fire neurons. This is done by reducing the set of differential equations to a…

Disordered Systems and Neural Networks · Physics 2007-11-27 Rüdiger Zillmer , Roberto Livi , Antonio Politi , Alessandro Torcini

The aerial flocking of birds, or murmurations, has fascinated observers while presenting many challenges to behavioral study and simulation. We examine how the periphery of murmurations remain well bounded and cohesive. We also investigate…

Quantitative Methods · Quantitative Biology 2024-07-22 Rama Carl Hoetzlein

Flying animals, such as bats, fly through their fluidic environment as they create air jets and form wake structures downstream of their flight path. Bats, in particular, dynamically morph their highly flexible and dexterous armwing to…

Robotics · Computer Science 2022-12-13 Eric Sihite , Alireza Ramezani

Non-equilibrium phases of matter have attracted much attention in recent years, among which the Floquet phase is a hot point. In this work, based on the Periodic driving Non-Hermitian model, we reveal that the winding number calculated in…

Quantum Physics · Physics 2022-09-07 Gang-Feng Guo , Yan Wang , Xi-Xi Bao , Lei Tan

Stability of bipedal systems in frontal plane is affected by the hip offset, to the extent that adjusting stride time using feedforward retraction and extension of the legs can lead to stable oscillations without feedback control. This…

Robotics · Computer Science 2025-10-28 Harsha Karunanayaka , Siavash Rezazadeh

Transient instability in nonlinear stochastic dynamical systems is a fundamental limitation in safety-critical aerospace applications, particularly during powered descent and landing where failure is driven by finite-time excursions rather…

Dynamical Systems · Mathematics 2026-04-23 Surya Ratna Prakash D , Soumyendu Raha

Bird-sized flapping-wing robots offer significant potential for agile flight in complex environments, but achieving agile and robust trajectory tracking remains a challenge due to the complex aerodynamics and highly nonlinear dynamics…

Robotics · Computer Science 2024-11-25 Jiaze Cai , Vishnu Sangli , Mintae Kim , Koushil Sreenath

The influence of out-of-plane oscillations on friction is a well-known phenomenon that has been studied extensively with various experimental methods, e.g. pin-on-disk tribometers. However, existing theoretical models have yet achieved only…

Chaotic Dynamics · Physics 2017-05-30 Xinyu Mao , Valentin L. Popov , Jasminka Starcevic , Mikhail Popov

Stick insect stepping patterns have been studied for insights about locomotor rhythm generation and control, because the underlying neural system is relatively accessible experimentally and produces a variety of rhythmic outputs. Harnessing…

Neurons and Cognition · Quantitative Biology 2025-04-17 Zahra Aminzare , Jonathan E. Rubin

Spatial linear instability analysis is employed to investigate the instability of a viscoelastic liquid jet in a co-flowing gas stream. The theoretical model incorporates a non-uniform axial base profile represented by a hyperbolic tangent,…

Fluid Dynamics · Physics 2026-03-03 Jiawei Li , Ming Wang , Kai Mu , Zhaodong Ding , Ting Si

Fluidic locomotion of flapping Micro Aerial Vehicles (MAVs) can be very complex, particularly when the rules from insect flight dynamics (fast flapping dynamics and light wings) are not applicable. In these situations, widely used averaging…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Paul Ghanem , Yunus Bicer , Deniz Erdogmus , Alireza Ramezani

Coherent structures in aspect ratio 2, axis-switching elliptical jets are studied using direct numerical simulation (DNS). Three different datasets are studied with varying near-nozzle forcing levels. Increasing the forcing level causes the…

Inertial waves transport energy and momentum in rotating fluids and are a major contributor to mixing and tidal dissipation in Earth's oceans, gaseous planets, and stellar interiors. However, their stability and breakdown mechanisms are not…

Earth and Planetary Astrophysics · Physics 2026-02-12 Valentin Skoutnev , Aurélie Astoul , Adrian J. Barker

Birds exhibit a variety of flight styles, primarily classified as flapping, which is characterized by rapid up-and-down wing movements, and soaring, which involves gliding with wings outstretched. Each species usually performs specific…

Quantitative Methods · Quantitative Biology 2024-11-18 Yukino Kawai , Tatsuya Hisada , Kozue Shiomi , Momoko Hayamizu

This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The…

Dynamical Systems · Mathematics 2010-10-18 M. De La Sen

Flapping animal flight is often modeled as a combined pitching and heaving motion in order to investigate the unsteady flow structures and resulting forces that could augment the animal's lift and propulsive capabilities. This work isolates…

Fluid Dynamics · Physics 2017-10-12 Jennifer A. Franck , Kenneth Breuer

A complete, self-contained mathematical framework for modelling the coupled aeroelastic and flight dynamic behaviour of free-flying flexible aircraft subject to atmospheric gust encounters is presented. The framework integrates three…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Nikolaos D. Tantaroudas , Ilias Karachalios

Insect wings can undergo significant deformation during flapping motion owing to inertial, elastic and aerodynamic forces. Changes in shape then alter aerodynamic forces, resulting in a fully coupled Fluid-Structure Interaction (FSI)…

In this paper, we study periodic linear systems on periodic time scales which include not only discrete and continuous dynamical systems but also systems with a mixture of discrete and continuous parts (e.g. hybrid dynamical systems). We…

Dynamical Systems · Mathematics 2009-01-27 Jeffrey J. DaCunha , John M. Davis

We designed and built a three degrees-of-freedom (DOF) flapping wing robot, Flapperoo, to study the aerodynamic benefits of wing folding and twisting. Forces and moments of this physical model are measured in wind tunnel tests over a…

Fluid Dynamics · Physics 2024-08-29 Xiaozhou Fan , Alexander Gehrke , Kenneth Breuer
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