Results 141 to 150 of about 17,983 (296)

Integrable Hamiltonian systems with positive topological entropy

, 2009
In this paper we provide a class of integrable Hamiltonian systems on a three-dimensional Riemannian manifold whose flows have a positive topological entropy on almost all compact energy surfaces.
Liu, Fei, Chen, Cheng, Zhang, Xiang
core   +1 more source

A REMARK ON THE TOPOLOGICAL ENTROPY

Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1972
HAMACHI, Toshihiro, TOTOKI, Haruo
openaire   +3 more sources

Advances in Electroactive Liquid Crystal Elastomers for Intelligent Robotics and Electronics

Advanced Robotics Research, EarlyView.
Electroactive liquid crystal elastomers (eLCEs) integrate molecular anisotropy with electrical functionality to enable programmable actuation and reconfigurable electronics. This review classifies eLCEs into robotic actuators and adaptive electronics, summarizes key actuation mechanisms, and highlights fabrication strategies that bridge materials to ...
Kavita Ramesh Rathod, Sena Chon, Jae Hyuk Hwang, Sung Hyuk Park, Woohwa Lee, Joonmyung Choi, Shi Hyeong Kim, Seung Hwan Ko, Changsoon Choi, Seon Jeong Kim, Dong‐Gyun Kim, Habeom Lee, Kyung Gook Cho, Woon‐Hong Yeo, Hyun Kim   +14 more
wiley   +1 more source

Lifting of Topological Entropy [PDF]

Proceedings of the American Mathematical Society, 1970
openaire   +2 more sources

AutomataGPT: Transformer‐Based Forecasting and Ruleset Inference for Two‐Dimensional Cellular Automata

Advanced Science, EarlyView.
We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich, Noah S. David, Markus J. Buehler   +2 more
wiley   +1 more source

The Topological Version of Free Entropy

Letters in Mathematical Physics, 2002
14 ...
openaire   +3 more sources

Consensus Formation and Change are Enhanced by Neutrality

Advanced Science, EarlyView.
Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag, Janina A. Hoffmann, Tim Rogers, Christian A. Yates   +3 more
wiley   +1 more source

Assessing the possibility of using the method of image decomposition based on topological features to reduce entropy during their compression

Научно-технический вестник информационных технологий, механики и оптики
The rapid increase in the volume of visual information on the internet stimulates the improvement and search for new approaches to solving the problem of image compression.
A. V. Abakumov, S. V. Eremeev
doaj   +1 more source

Axiomatic definition of the topological entropy on the interval

, 2000
Summary. The aim of this paper is to give an axiomatic definition of the topological entropy for continuous interval maps and, in such a way, to shed some more light on the importance of the different properties of the topological entropy in this setting.
Llibre Saló, Jaume, Snoha, Lubomír, Kolyada, Sergi, Alseda Soler, Lluís   +3 more
core   +1 more source

On reducing the topological entropy of linearized nonlinear systems

, 2022
The topological entropy is a measure that quantifies the unstable of a dynamical systems. Specifically, in the case of linear systems, the topological entropy is defined as the sum of the real parts of the unstable eigenvalues (continuous-time systems)
Chesi, G
core