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Chaotic behavior in dynamical systems poses a significant challenge in trajectory control, traditionally relying on computationally intensive physical models. We present a machine learning-based algorithm to compute the minimum control…

Chaotic Dynamics · Physics 2025-06-18 David Valle , Rubén Capeáns , Alexandre Wagemakers , Miguel A. F. Sanjuán

Here we define natural chaotic systems, like the earths weather and climate system, as chaotic systems which are open to the world so have constantly changing boundary conditions, and measurements of their states are subject to errors. In…

Chaotic Dynamics · Physics 2024-09-24 Michael LuValle

Assessing the desirability of hypersonic glide vehicles (HGVs) requires understanding what capabilities they may provide compared to alternative systems that could carry out the same missions, particularly given the technical difficulties…

Physics and Society · Physics 2023-04-24 David Wright , Cameron L. Tracy

Research in the field of automated driving has created promising results in the last years. Some research groups have shown perception systems which are able to capture even complicated urban scenarios in great detail. Yet, what is often…

Systems and Control · Computer Science 2017-08-15 Marcus Nolte , Marcel Rose , Torben Stolte , Markus Maurer

This talk summarises what is currently understood about the phenomenon that has come to be known as {\it chaotic mixing}. The first part presents a concise statement as to what chaotic mixing actually is, and then explains why it should be…

Astrophysics · Physics 2007-05-23 Henry E. Kandrup

In this paper, we formulate a virtual target-based path following guidance law aimed towards multi-vehicle path following problem. The guidance law is well suited to precisely follow circular paths while minting desired distance between two…

Systems and Control · Computer Science 2017-11-21 Ishmaal Erekson , Rajnikant Sharma , Ashwini Ratnoo , Ryan Gerdes

Disordered systems are an important class of models in statistical mechanics, having the defining characteristic that the energy landscape is a fixed realization of a random field. Examples include various models of glasses and polymers.…

Probability · Mathematics 2008-12-16 Sourav Chatterjee

Chaos is a phenomenon that attracted much attention in the past ten years. In this paper, we analyze chaos-based signal processing, and proposed a chaos processor to take advantage of chaos phenomenon. We also analyzed and demonstrated two…

Emerging Technologies · Computer Science 2017-03-21 F Li

Recently, a new concept, primitive chaos, was proposed, as a concept closely related to the fundamental problems of physics itself such as determinism, causality, free will, predictability, and irreversibility [J. Phys. Soc. Jpn. {\bf 79},…

Chaotic Dynamics · Physics 2015-03-26 Yoshihito Ogasawara

We describe some highlights in the theory of chaos, that started with Poincare (1899). Generic systems have both ordered and chaotic domains. Chaos appears mainly near un- stable periodic orbits. Large chaotic domains are due to resonance…

Chaotic Dynamics · Physics 2018-07-26 George Contopoulos

In chaotic dynamical systems, a number of rare trajectories with low level of chaoticity are embedded in chaotic sea, while extraordinary unstable trajectories can exist even in weakly chaotic regions. In this study, a quantitative method…

Chaotic Dynamics · Physics 2010-10-06 Akimasa Kitajima , Yukito Iba

Most of the routing algorithms for unmanned vehicles, that arise in data gathering and monitoring applications in the literature, rely on the Global Positioning System (GPS) information for localization. However, disruption of GPS signals…

Robotics · Computer Science 2017-12-21 Kaarthik Sundar , Sohum Misra , Sivakumar Rathinam , Rajnikant Sharma

When a chaotic system is to be stabilized to a unstable orbit, delayed measurement of the system limits the applicability of chaos control techniqes. These limitations are analyzed and control schemes as linear predictive logging control…

Chaotic Dynamics · Physics 2007-12-28 Jens Christian Claussen

The guidance of a torpedo represents a hard task because of the smooth nonlinear aspect of this system and because of the extreme external disturbances. The torpedo guidance reposes on the speed and the position control. In fact, the…

Systems and Control · Computer Science 2013-01-15 Ahmed Rhif , Zohra Kardous , Naceur BenHadj Braiek

Boundary-induced transport in particle systems with anomalous diffusion exhibits rectification, negative resistance, and hysteresis phenomena depending on the way the drive acts on the boundary. The solvable case of a 1D system…

Statistical Mechanics · Physics 2009-11-07 Mauro Sellitto

Chaotic systems, that have a small Lyapunov exponent, do not obey the common random matrix theory predictions within a wide "weak quantum chaos" regime. This leads to a novel prediction for the rate of heating for cold atoms in optical…

Quantum Physics · Physics 2010-11-26 Alexander Stotland , Louis M. Pecora , Doron Cohen

In the last decade, reinforcement learning successfully solved complex control tasks and decision-making problems, like the Go board game. Yet, there are few success stories when it comes to deploying those algorithms to real-world…

Artificial Intelligence · Computer Science 2024-09-13 Giuseppe Paolo , Jonas Gonzalez-Billandon , Albert Thomas , Balázs Kégl

When attempting to understand the role of disorder in condensed-matter physics, one faces severe experimental and theoretical difficulties and many questions are still open. Two of the most challenging ones, which have been debated for…

Quantum Gases · Physics 2010-03-01 Laurent Sanchez-Palencia , Maciej Lewenstein

Collision avoidance requires tradeoffs in planning time horizons. Depending on the planner, safety cannot always be guaranteed in uncertain environments given map updates. To mitigate situations where the planner leads the vehicle into a…

Robotics · Computer Science 2022-06-22 Jasmine Cheng , Xuning Yang , Nathan Michael

A model of lightning that captures the propagation of lightning channels on an irregular lattice is developed. The irregular lattice allows us to capture large two-dimensional systems (2 km x 2 km), while allowing grid refinement (on the…

Computational Physics · Physics 2024-11-06 Gavin Buxton
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