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Bird migration is an adaptive behavior ultimately aiming at optimizing survival and reproductive success. We propose an optimal switching model to study bird migration, where birds' migration behaviors can be efficiently modeled as…

Optimization and Control · Mathematics 2025-01-14 Jiawei Chu , King-Yeung Lam , Boyu Wang , Tong Wang

To address the interlinked biodiversity and climate crises, we need an understanding of where species occur and how these patterns are changing. However, observational data on most species remains very limited, and the amount of data…

Machine Learning · Computer Science 2024-03-29 Hager Radi Abdelwahed , Mélisande Teng , David Rolnick

Collective motion is abundant in nature, producing a vast amount of phenomena which have been studied in recent years, including the landing of flocks of birds. We investigate the collective decision making scenario where a flock of birds…

Biological Physics · Physics 2012-03-13 Bence Ferdinandy , Kunal Bhattacharya , Daniel Abel , Tamas Vicsek

Different classes of the whorl fingerprint are discussed. A general dynamical system with a parameter theta is created using differential equations to simulate these classes by varying the value of theta. The global dynamics is studied, and…

Dynamical Systems · Mathematics 2020-10-02 Ibrahim Jawarneh , Nesreen Alsharman

In this paper, we extend state of the art Model Predictive Control (MPC) approaches to generate safe bipedal walking on slippery surfaces. In this setting, we formulate walking as a trade off between realizing a desired walking velocity and…

Robotics · Computer Science 2017-10-10 Majid Khadiv , S. Ali A. Moosavian , Alexander Herzog , Ludovic Righetti

In this paper we exploit some interesting properties of a class of bipedal robots which have an inertial disc. One of this properties is the ability to control every position and speed except for the disc position. The proposed control is…

Optimization and Control · Mathematics 2016-06-01 Carlos Eduardo de Brito Novaes , Paulo Sergio Pereira da Silva , Pierre Rouchon

Humans excel at robust bipedal walking in complex natural environments. In each step, they adequately tune the interaction of biomechanical muscle dynamics and neuronal signals to be robust against uncertainties in ground conditions.…

A two-type two-sex branching process is introduced with the aim of describing the interaction of predator and prey populations with sexual reproduction and promiscuous mating. In each generation and in each species the total number of…

Populations and Evolution · Quantitative Biology 2021-01-29 Cristina Gutierrez , Carmen Minuesa

We consider an interacting particle system on trees known as the frog model: initially, a single active particle begins at the root and i.i.d.~$\mathrm{Poiss}(\lambda)$ many inactive particles are placed at each non-root vertex. Active…

Probability · Mathematics 2024-01-24 Marcus Michelen , Josh Rosenberg

Here we present the first method for tracking each leg of a fruit fly behaving spontaneously upon a trackball, in real time. Legs were tracked with infrared-fluorescent dye invisible to the fly, and compatible with two-photon microscopy and…

Neurons and Cognition · Quantitative Biology 2015-06-11 Jamey Kain , Chris Stokes , Quentin Gaudry , Xiangzhi Song , James Foley , Rachel Wilson , Benjamin de Bivort

In this paper, we present a model describing the collective motion of birds. The model introduces spontaneous changes in direction which are initialized by few agents, here referred as leaders, whose influence act on their nearest…

Numerical Analysis · Mathematics 2024-06-21 Giacomo Albi , Federica Ferrarese

Despite major advancements in control design that are robust to unplanned disturbances, bipedal robots are still susceptible to falling over and struggle to negotiate rough terrains. By utilizing thrusters in our bipedal robot, we can…

In this communication, the approach of phenomenological universalities of growth are considered to describe the behaviour of a system showing oscillatory growth. Two phenomenological classes are proposed to consider the behaviour of a…

Chaotic Dynamics · Physics 2015-07-20 Dibyendu Biswas , Swarup Poria , Sankar Nayaran Patra

Legged robots have the potential to become vital in maintenance, home support, and exploration scenarios. In order to interact with and manipulate their environments, most legged robots are equipped with a dedicated robot arm, which means…

Robotics · Computer Science 2024-02-19 Philip Arm , Mayank Mittal , Hendrik Kolvenbach , Marco Hutter

This paper develops a dynamic factor model in which common level and volatility factors evolve jointly, allowing conditional means and variances to interact endogenously within a large-information setting. The joint evolution of these…

Econometrics · Economics 2026-04-07 Haroon Mumtaz , Sofia Velasco

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

Pedipulation leverages the feet of legged robots for mobile manipulation, eliminating the need for dedicated robotic arms. While previous works have showcased blind and task-specific pedipulation skills, they fail to account for static and…

Robotics · Computer Science 2024-11-05 Jonas Stolle , Philip Arm , Mayank Mittal , Marco Hutter

We aim to describe a droplet bouncing on a vibrating bath using a simple and highly versatile model inspired from quantum mechanics. Close to the Faraday instability, a long-lived surface wave is created at each bounce, which serves as a…

Pendulums are simple mechanical systems that have been studied for centuries and exhibit many aspects of modern dynamical systems theory. In particular, the double pendulum is a prototypical chaotic system that is frequently used to…

Dynamical Systems · Mathematics 2026-03-03 Kadierdan Kaheman , Jason J. Bramburger , J. Nathan Kutz , Steven L. Brunton

In this paper, we present a new model of biped locomotion which is composed of three linear pendulums (one per leg and one for the whole upper body) to describe stance, swing and torso dynamics. In addition to double support, this model has…

Robotics · Computer Science 2016-05-11 Salman Faraji , Auke J. Ijspeert
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