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A simple collision model is employed to introduce elementary concepts of open system dynamics of quantum systems. In particular, within the framework of collision models we introduce the quantum analogue of thermalization process called…

Quantum Physics · Physics 2017-08-23 Mario Ziman , Vladimír Bužek

Spatial reaction-diffusion models have been employed to describe many emergent phenomena in biological systems. The modelling technique most commonly adopted in the literature implements systems of partial differential equations (PDEs),…

Quantitative Methods · Quantitative Biology 2015-10-05 Christian A. Yates , Mark B. Flegg

The Van der Waals equation (VdW-EoS) is a prototype equation of state for realistic systems, because it contains the excluded volume and the particle interactions. Additionally, the simulated annealing (and the similar simulated…

Soft Condensed Matter · Physics 2016-09-30 Peter Friedel

This work describes the way that topological mixing and chaos in continua, as induced by discrete dynamical systems, can or can't be understood through topological conjugacy with symbolic dynamical systems. For example, there is no symbolic…

Dynamical Systems · Mathematics 2023-09-19 Arnaldo Rodriguez-Gonzalez

Variational Autoencoders (VAEs) are well-established as a principled approach to probabilistic unsupervised learning with neural networks. Typically, an encoder network defines the parameters of a Gaussian distributed latent space from…

Machine Learning · Computer Science 2025-05-16 Alan Jeffares , Liyuan Liu

Learning how complex dynamical systems evolve over time is a key challenge in system identification. For safety critical systems, it is often crucial that the learned model is guaranteed to converge to some equilibrium point. To this end,…

Machine Learning · Computer Science 2021-12-13 Andreas Schlaginhaufen , Philippe Wenk , Andreas Krause , Florian Dörfler

In the context of networked discrete-event systems (DESs), communication delays and losses exist between the plant and the supervisor for observation and between the supervisor and the actuator for control. In this paper, we first introduce…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yunfeng Hou , Yunfeng Ji , Gang Wang , Ching-Yen Weng , Qingdu Li

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

In this work, we introduce a compositional framework for the construction of finite abstractions (a.k.a. symbolic models) of interconnected discrete-time control systems. The compositional scheme is based on the joint dissipativity-type…

Systems and Control · Computer Science 2017-10-17 Abdalla Swikir , Antoine Girard , Majid Zamani

Self-organization in complex systems is a process in which randomness is reduced and emergent structures appear that allow the system to function in a more competitive way with other states of the system or with other systems. It occurs…

Adaptation and Self-Organizing Systems · Physics 2025-06-02 Matthew J Brouillet , Georgi Yordanov Georgiev

Finite-state models of control systems were proposed by several researchers as a convenient mechanism to synthesize controllers enforcing complex specifications. Most techniques for the construction of such symbolic models have two main…

Optimization and Control · Mathematics 2011-10-11 Majid Zamani , Giordano Pola , Manuel Mazo , Paulo Tabuada

This paper introduces a general approach for synthesizing procedural models of the state-transitions of a given discrete system. The approach is general in that it accepts different target languages for modeling the state-transitions of a…

Formal Languages and Automata Theory · Computer Science 2023-07-28 Javier Segovia-Aguas , Jonathan Ferrer-Mestres , Sergio Jiménez

We study the computational complexity theory of smooth, finite-dimensional dynamical systems. Building off of previous work, we give definitions for what it means for a smooth dynamical system to simulate a Turing machine. We then show that…

Computational Complexity · Computer Science 2024-09-19 Jordan Cotler , Semon Rezchikov

We revisit the problem of computing (robust) controlled invariant sets for discrete-time linear systems. Departing from previous approaches, we consider implicit, rather than explicit, representations for controlled invariant sets.…

Optimization and Control · Mathematics 2022-08-10 Tzanis Anevlavis , Zexiang Liu , Necmiye Ozay , Paulo Tabuada

Metadynamics is a commonly used and successful enhanced sampling method. By the introduction of a history dependent bias which depends on a restricted number of collective variables(CVs) it can explore complex free energy surfaces…

Statistical Mechanics · Physics 2013-12-06 Pratyush Tiwary , Michele Parrinello

The practical impact of deep learning on complex supervised learning problems has been significant, so much so that almost every Artificial Intelligence problem, or at least a portion thereof, has been somehow recast as a deep learning…

Machine Learning · Statistics 2018-03-19 Housam Khalifa Bashier Babiker , Randy Goebel

The goal of this report is to define abstractions for multi-agent systems with feedback interconnection in their dynamics. In the proposed decentralized framework, we specify a finite or countable transition system for each agent which only…

Systems and Control · Computer Science 2016-08-24 Dimitris Boskos , Dimos V. Dimarogonas

The term Model-Driven Engineering (MDE) is typically used to describe software development approaches in which abstract models of software systems are created and systematically transformed to concrete implementations. In this paper we give…

Software Engineering · Computer Science 2016-11-17 Robert France , Bernhard Rumpe

Modeling of dynamic processes in nuclear reactors is carried out, mainly, on the basis of the multigroup diffusion approximation for the neutron flux. The basic model includes a multidimensional set of coupled parabolic equations and…

Computational Engineering, Finance, and Science · Computer Science 2017-06-19 Alexander V. Avvakumov , Valery F. Strizhov , Petr N. Vabishchevich , Alexander O. Vasilev

Virtual reality (VR) has emerged as a powerful tool for evaluating school security measures in high-risk scenarios such as school shootings, offering experimental control and high behavioral fidelity. However, assessing new interventions in…

Artificial Intelligence · Computer Science 2026-03-20 Christopher A. McClurg , Alan R. Wagner