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This chapter offers a principled approach to the prediction of chaotic systems from data. First, we introduce some concepts from dynamical systems' theory and chaos theory. Second, we introduce machine learning approaches for…

Chaotic Dynamics · Physics 2026-04-14 Luca Magri , Andrea Nóvoa , Elise Özalp

We show how a recently introduced statistics [Patil et al, Phys. Rev. Lett. 81 5878 (2001)] provides a direct relationship between dimension and predictability in spatiotemporal chaotic systems. Regions of low dimension are identified as…

Chaotic Dynamics · Physics 2007-05-23 Gerson Francisco , Paulsamy Muruganandam

We reply to the recent note "Comment on Synchronization dynamics in non-normal networks: the trade-off for optimality", showing that the authors base their claims mainly on general theoretical arguments that do not necessarily invalidate…

Adaptation and Self-Organizing Systems · Physics 2022-06-20 Riccardo Muolo , Timoteo Carletti , James P. Gleeson , Malbor Asllani

We review the current observational status of string cosmology when confronted with experimental datasets. We begin by defining common observational parameters and discuss how they are determined for a given model. Then we review the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 David J. Mulryne , John Ward

String Theory is a hot topic of physics and mathematics. For the former, it stands as a huge sandbox where the formulation of difficult problems can be simplified and their hard computations carried out. For the latter, it stands as a…

High Energy Physics - Theory · Physics 2025-01-17 Henrique Legoinha

We consider deterministic chaotic models of vacuum fluctuations on a small (quantum gravity) scale. As a suitable small-scale dynamics, nonlinear versions of strings, so-called `chaotic strings' are introduced. These can be used to provide…

High Energy Physics - Theory · Physics 2016-11-23 Christian Beck

The aim of these lectures is to give an introduction to several topics which lie at the intersection of string theory, gravity theory and gravity phenomenology. One successively reviews: (i) the "membrane" approach to the dissipative…

High Energy Physics - Theory · Physics 2008-02-29 Thibault Damour , Marc Lilley

The content of this contribution is based on the course on numerical analysis techniques for non-linear dynamics. After introducing basic concepts as the visual analysis of trajectories in phase space and the importance of the nature of…

Accelerator Physics · Physics 2020-12-22 Yannis Papaphilippou

Stochastic physics is a central pillar of modern research in many fields, but is rarely presented to undergrad students in a hands-on experiment. Here, we demonstrate how a human-scale, simple, and affordable experimental setup can be used…

Classical Physics · Physics 2024-04-08 Andreas Eggenberger , Alexander Eichler

The dynamics of cosmic strings is considered in anisotropic backgrounds. In particular, the behaviour of infinitely long straight cosmic strings and of cosmic string loops is determined. Small perturbations of a straight cosmic string are…

High Energy Physics - Theory · Physics 2012-04-25 Kerstin E. Kunze , Mairi Sakellariadou

I review recent progress on the connection between string theory and quantum chromodynamics in the context of the gauge/gravity duality. Emphasis is placed on conciseness and conceptual aspects rather than on technical details. Topics…

High Energy Physics - Theory · Physics 2008-11-26 David Mateos

Recent developments in cosmic strings are reviewed, with emphasis on unresolved problems.

High Energy Physics - Theory · Physics 2007-06-20 Alexander Vilenkin

This paper contains a reformulation of any $n$-player finite, static game into a framework of distributed, dynamical system based on agents' payoff-based deviations. The reformulation generalizes the method employed in the second part of…

Computer Science and Game Theory · Computer Science 2017-10-19 Yuke Li , Fengjiao Liu , A. Stephen Morse

This note remarks that small-gain results for a negative feedback loop around a monotone system can be seen as consequences of results concerning an extended monotone system.

Optimization and Control · Mathematics 2007-05-23 Eduardo D. Sontag

This is an introduction to some recent developments in string theory and M theory. We try to concentrate on the main physical aspects, and often leave more technical details to the original literature.

High Energy Physics - Theory · Physics 2007-05-23 Miao Li

Analysis of effects of noise and drift on chaotic synchronization. To appear in Physics Letters.

chao-dyn · Physics 2008-02-03 Nicholas B. Tufillaro

I discuss some recent developments in chiral effective field theory for few-nucleon systems.

Nuclear Theory · Physics 2008-11-26 E. Epelbaum

We make comments on the paper by Miller [{\it J. Theor. Biol.} {\bf 234} (2005) 511].

Tissues and Organs · Quantitative Biology 2007-05-23 A. Kwang-Hua Chu

The dynamics of minority games with agents trading on different time scales is studied via dynamical mean-field theory. We analyze the case where the agents' decision-making process is deterministic and its stochastic generalization with…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea De Martino

Recent work has made clear that we have far more control over the dynamics of supersymmetric than non-supersymmetric theories. Here, I discuss some issues in dynamical supersymmetry breaking both in ordinary field theory and in string…

High Energy Physics - Theory · Physics 2007-05-23 M. Dine