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Symmetries, e.g. rotational and translational invariances for the class of mechanical systems, allow to characterize solution trajectories of nonlinear dynamical systems. Thus, the restriction to symmetry-induced dynamics, e.g. by using the…

Optimization and Control · Mathematics 2019-06-24 Kathrin Flaßkamp , Sina Ober-Blöbaum , Karl Worthmann

Arithmetic dynamics is the study of number theoretic properties of dynamical systems. A relatively new field, it draws inspiration partly from dynamical analogues of theorems and conjectures in classical arithmetic geometry, and partly from…

In this paper we propose a classification of crowd models in built environments based on the assumed pedestrian ability to foresee the movements of other walkers. At the same time, we introduce a new family of macroscopic models, which make…

Optimization and Control · Mathematics 2015-04-22 Emiliano Cristiani , Fabio S. Priuli , Andrea Tosin

A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous…

Optimization and Control · Mathematics 2016-11-15 Xiaodong Xu , Stevan Dubljevic

We introduce the logistic model of consumption growth, which captures a negative feedback loop preventing an unlimited growth of consumption due to finite biophysical resources of our planet. This simple dynamic model allows for derivation…

General Finance · Quantitative Finance 2018-07-05 Victor E. Gluzberg , Yuri A. Katz

By applying network analysis techniques to large input-output system, we identify key sectors in the local/regional economy. We overcome the limitations of traditional measures of centrality by using random-walk based measures, as an…

General Economics · Economics 2022-09-30 Fernando DePaolis , Phil Murphy , M. Clara DePaolis Kaluza

Statistical mechanics provides a useful analog for understanding the behavior of complex adaptive systems, including electric power markets and the power systems they intend to govern. Market-based control is founded on the conjecture that…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David P. Chassin

Robots' behavior and performance are determined both by hardware and software. The design process of robotic systems is a complex journey that involves multiple phases. Throughout this process, the aim is to tackle various criteria…

A cornerstone of geometric reconstruction, rotation averaging seeks the set of absolute rotations that optimally explains a set of measured relative orientations between them. In spite of being an integral part of bundle adjustment and…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Gabriel Moreira , Manuel Marques , João Paulo Costeira

Exergy, or availability, is a thermodynamic concept representing the useful work that can be extracted from a system evolving from a given state to a reference state. It is also a system metric, formulated from the first and the second law…

Systems and Control · Electrical Eng. & Systems 2021-07-15 Federico Dettù , Gabriele Pozzato , Denise M. Rizzo , Simona Onori

The application of principles of thermodynamics and statistical mechanics to economic systems is considered in a broad historical perspective, extending from prehistoric times to the present day. The hypothesis of maximum entropy production…

Statistical Mechanics · Physics 2007-05-23 Alastair D. Jenkins

In this paper, is used the Lagrangian classical mechanics for modeling the dynamics of an underactuated system, specifically a rotary inverted pendulum that will have two equations of motion. A basic design of the system is proposed in…

Robotics · Computer Science 2017-06-19 Juan Libardo Duarte Madrid , P. A. Ospina-Henao , E González Querubín

Approximate computing is a computation domain which can be used to trade time and energy with quality and therefore is useful in embedded systems. Energy is the prime resource in battery-driven embedded systems, like robots. Approximate…

Robotics · Computer Science 2021-08-30 Hrishav Bakul Barua

In this chapter the complex systems are discussed in the context of economic and business policy and decision making. It will be showed and motivated that social systems are typically chaotic, non-linear and/or non-equilibrium and therefore…

General Finance · Quantitative Finance 2015-03-20 Robert Kitt

Recent advancements in robotics have transformed industries such as manufacturing, logistics, surgery, and planetary exploration. A key challenge is developing efficient motion planning algorithms that allow robots to navigate complex…

Robotics · Computer Science 2025-08-27 Liding Zhang , Kuanqi Cai , Zewei Sun , Zhenshan Bing , Chaoqun Wang , Luis Figueredo , Sami Haddadin , Alois Knoll

In this paper, we consider the problem of periodic optimal control of nonlinear systems subject to online changing and periodically time-varying economic performance measures using model predictive control (MPC). The proposed economic MPC…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We survey an area of recent development, relating dynamics to theoretical computer science. We discuss the theoretical limits of simulation and computation of interesting quantities in dynamical systems. We will focus on central objects of…

Dynamical Systems · Mathematics 2011-04-15 Stefano Galatolo , Mathieu Hoyrup , Cristóbal Rojas

We investigate, at the fundamental level, the questions of `why', `when' and `how' one could or should reach out to poor and vulnerable people to support them in the absence of governmental institutions. We provide a simple and new approach…

General Economics · Economics 2023-07-31 Aziz Guergachi , Javid Hakim

The understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here we introduce a new model for…

Chaotic Dynamics · Physics 2020-11-16 Gabriele Vissio , Valerio Lucarini

This paper continues the application of circuit theory to experimental design started by the first two authors. The theory gives a very special and detailed representation of the kernel of the design model matrix. This representation turns…

Computation · Statistics 2021-06-22 Roberto Fontana , Fabio Rapallo , Henry P. Wynn
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