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In this paper, we study a wheeled robot with a prismatic extension joint. This allows the robot to build up momentum to perform jumps over obstacles and to swing up to the upright position after the loss of balance. We propose a template…

Robotics · Computer Science 2021-03-09 Traiko Dinev , Songyan Xin , Wolfgang Merkt , Vladimir Ivan , Sethu Vijayakumar

The theory of slow manifolds is an important tool in the study of deterministic dynamical systems, giving a practical method by which to reduce the number of relevant degrees of freedom in a model, thereby often resulting in a considerable…

Statistical Mechanics · Physics 2013-07-01 George W A Constable , Alan J McKane , Tim Rogers

We show that a simple mechanistic model of spatial dispersal for settling organisms, subject to parameter variability, can generate heavy-tailed radial probability density functions. The movement of organisms in the model consists of a…

Populations and Evolution · Quantitative Biology 2025-09-23 Luis F. Gordillo , Priscilla E. Greenwood

Gait abnormality detection is critical for the early discovery and progressive tracking of musculoskeletal and neurological disorders, such as Parkinson's and Cerebral Palsy. Especially, analyzing the foot-floor contacts during walking…

Signal Processing · Electrical Eng. & Systems 2024-08-07 Yiwen Dong , Yuyan Wu , Hae Young Noh

Active walker models have recently proved their great value for describing the formation of clusters, periodic patterns, and spiral waves as well as the development of rivers, dielectric breakdown patterns, and many other structures. It is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Frank Schweitzer , Joachim Keltsch , Peter Molnar

For a general class of translationally invariant systems with a specific category of nonlinearity in the output, this paper presents necessary and sufficient conditions for global observability. Critically, this class of systems cannot be…

Dynamical Systems · Mathematics 2022-10-11 Eduardo D. Sontag , Debojyoti Biswas , Noah J. Cowan

We consider the biased random walk on a critical Galton-Watson tree conditioned to survive, and confirm that this model with trapping belongs to the same universality class as certain one-dimensional trapping models with slowly-varying…

Probability · Mathematics 2012-03-20 David A. Croydon , Alexander Fribergh , Takashi Kumagai

Every organism has a size that is convenient for its function. Not only multicellular organisms but also uni-cellular organisms and even subcellular structures have convenient sizes. Flagella of eukaryotic cells are long dynamic cell…

Biological Physics · Physics 2022-01-26 Swayamshree Patra , Debashish Chowdhury

This study presents a novel spatially disrupted flow control system inspired by the covert feathers on bird wings. The system is a passive flow control system consisting of multiple feather-inspired flaps that dynamically interact with the…

Fluid Dynamics · Physics 2024-04-03 Girguis Sedky , Ahmed Othman , Aimy Wissa

This paper considers the optimal control problem of an extended spring-loaded inverted pendulum (SLIP) model with two additional actuators for active leg length and hip torque modulation. These additional features arise naturally in…

Robotics · Computer Science 2019-11-19 Hua Chen , Patrick M. Wensing , Wei Zhang

Synthesizing a stable gait that enables a quadruped robot to climb stairs is the focus of this paper. To this end, first a stable transition from initial to desired configuration is made based on the minimum number of steps and maximum use…

Robotics · Computer Science 2018-09-11 Ali Zamani , Mahdi Khorram , S. Ali A. Moosavian

If one wants to explore the properties of a dynamical system systematically one has to be able to track equilibria and periodic orbits regardless of their stability. If the dynamical system is a controllable experiment then one approach is…

Dynamical Systems · Mathematics 2009-03-19 Jan Sieber , Bernd Krauskopf

Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group…

Robust adaptive control of scalar plants in the presence of unmodeled dynamics is established in this paper. It is shown that implementation of a projection algorithm with standard adaptive control of a scalar plant ensures global…

Systems and Control · Computer Science 2013-02-04 Heather S. Hussain , Megumi M. Matsutani , Anuradha M. Annaswamy , Eugene Lavretsky

1. Animal movement patterns contribute to our understanding of variation in breeding success and survival of individuals, and the implications for population dynamics. 2. Over time, sensor technology for measuring movement patterns has…

Quantitative Methods · Quantitative Biology 2018-01-11 Leah R. Johnson , Philipp H. Boersch-Supan , Richard A. Phillips , Sadie J. Ryan

In natural foraging, many organisms seem to perform two different types of motile search: directed search (taxis) and random search. The former is observed when the environment provides cues to guide motion towards a target. The latter…

Statistical Mechanics · Physics 2017-12-27 Łukasz Kuśmierz , Taro Toyoizumi

This work addresses the problem of robust attitude control of quadcopters. First, the mathematical model of the quadcopter is derived considering factors such as nonlinearity, external disturbances, uncertain dynamics and strong coupling.…

Systems and Control · Computer Science 2018-06-06 V. T. Hoang , M. D. Phung , Q. P. Ha

Hybrid systems, such as bipedal walkers, are challenging to control because of discontinuities in their nonlinear dynamics. Little can be predicted about the systems' evolution without modeling the guard conditions that govern transitions…

Robotics · Computer Science 2019-03-04 Aleksandra Kalinowska , Thomas A. Berrueta , Adam Zoss , Todd Murphey

We present a simple model to study L\'{e}vy-flight foraging in a finite landscape with countable targets. In our approach, foraging is a step-based exploratory random search process with a power-law step-size distribution $P(l) \propto…

Statistical Mechanics · Physics 2015-02-10 Kun Zhao , Raja Jurdak , Jiajun Liu , David Westcott , Branislav Kusy , Hazel Parry , Philipp Sommer , Adam McKeown

We present continuum models that describe the evolution of the position of a random walker on a growing network using four different growth algorithms. Three of these involve a random element, including one in which the motility rate of the…

Adaptation and Self-Organizing Systems · Physics 2019-06-26 Robert Ross , Walter Fontana