Mathematics - Dynamical Systems

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Dynamical Systems New Methods Predict Flame Behavior with Machine Learning

A study reveals advanced techniques to forecast complex flame dynamics.

Rixin Yu, Marco Herbert, Markus Klein

2025-03-13T03:11:42+00:00 ― 6 min read

Latest Articles

Fluid Dynamics Navigating the Layers: New Insights in Fluid Dynamics

A new method improves data assimilation in multi-layer ocean and atmosphere studies.

Zhongrui Wang, Nan Chen, Di Qi

2025-03-03T12:19:22+00:00 ― 7 min read

Optimization and Control Estimating Changing Parameters in Dynamic Systems

Learn how researchers tackle changing parameters in dynamic systems for better outcomes.

Jamiree Harrison, Enoch Yeung

2025-03-03T05:32:50+00:00 ― 6 min read

Dynamical Systems The Intricacies of SNICeroclinic Bifurcation

Unravel the dynamics behind SNICeroclinic bifurcation in complex systems.

Kateryna Nechyporenko, Peter Ashwin, Krasimira Tsaneva-Atanasova

2025-03-02T10:54:00+00:00 ― 7 min read

Dynamical Systems Unlocking Eigenmodes: A New Dynamic Approach

Discover how eigenmodes transform to improve system design and efficiency.

Nicolas Torres-Ulloa, Erick Kracht, Urban Fasel

2025-03-01T10:55:30+00:00 ― 8 min read

Number Theory Singular Matrices and Their Fascinating Dimensions

Explore the world of singular matrices and fractals.

Gaurav Aggarwal, Anish Ghosh

2025-02-28T21:36:20+00:00 ― 7 min read

Dynamical Systems The Dynamics of Robust Heteroclinic Cycles

Discover how robust cycles shape complex systems and their real-world impacts.

Sofia B. S. D. Castro, Alastair M. Rucklidge

2025-02-26T03:00:30+00:00 ― 6 min read

Dynamical Systems Exploring the Intricacies of Lozi Maps

Discover the fascinating patterns and behaviors of Lozi maps in dynamic systems.

Kristijan Kilassa Kvaternik

2025-02-25T11:01:30+00:00 ― 6 min read

Operator Algebras Unraveling the Secrets of Entropy in Groups

Dive into the fascinating world of entropy and its role in group theory.

Tim Austin

2025-02-21T19:07:00+00:00 ― 7 min read

Dynamical Systems The Intriguing World of Twisted Polygons

Discover fascinating shapes and their hidden connections in geometry.

Zhengyu Zou

2025-02-19T16:30:10+00:00 ― 5 min read

Dynamical Systems Navigating Hamilton-Jacobi Equations: A Simple Guide

Learn how Hamilton-Jacobi equations impact systems and measure chaos.

Wei Cheng, Jiahui Hong, Zhi-Xiang Zhu

2025-02-18T21:51:20+00:00 ― 6 min read

Dynamical Systems The Dance of Numbers and Randomness

Explore how randomness shapes sequences and processes in mathematics.

Lisette Jager, Killian Verdure

2025-02-17T03:14:00+00:00 ― 7 min read

Subcellular Processes Deciphering Cell Fate: The Dance of Development

Investigating how cells decide their roles in a complex biological environment.

Sean T. Vittadello, Léo Diaz, Yujing Liu

2025-02-16T13:26:26+00:00 ― 7 min read

Pattern Formation and Solitons Patterns in Nature: The Science Behind Beauty

Explore how natural patterns form through Turing instability and reaction-diffusion systems.

Javier López-Pedrares, Marcos Suárez-Vázquez, Juan Pérez-Mercader

2025-02-16T02:55:38+00:00 ― 7 min read

Fluid Dynamics Harnessing Wind: The Future of Energy Forecasting

Learn how short-term wind forecasting boosts turbine efficiency and energy output.

Seyedalireza Abootorabi, Stefano Leonardi, Mario Rotea

2025-02-16T01:20:06+00:00 ― 7 min read

Robotics The Future of Robotics: Parallel Kinematic Manipulators

Discover the incredible capabilities of Parallel Kinematic Manipulators in modern robotics.

Andreas Mueller

2025-02-15T18:57:58+00:00 ― 7 min read

Optimization and Control Mastering Energy Management in Control Systems

Learn how passive LTV systems manage energy efficiently.

Riccardo Morandin, Dorothea Hinsen

2025-02-14T13:57:50+00:00 ― 6 min read

Dynamical Systems Harnessing Ensemble Kalman Filters for Better Predictions

Discover how ensemble Kalman filters improve predictions in chaotic systems.

Daniel Sanz-Alonso, Nathan Waniorek

2025-02-10T15:50:54+00:00 ― 6 min read

Dynamical Systems Unraveling the Mysteries of Near-Parabolic Maps

Discover the fascinating world of near-parabolic maps and their dynamics.

Carsten Lunde Petersen, Saeed Zakeri

2025-02-08T22:06:20+00:00 ― 7 min read

Metric Geometry Mapping Distances: The Farthest Point Concept

Discover the fascinating world of farthest point mapping in geometry.

Yoshikazu Yamagishi

2025-02-08T11:27:00+00:00 ― 6 min read

Dynamical Systems Waves in Dimer Systems: A New Perspective

Explore the dynamics of dimer systems and their wave patterns.

Timothy E. Faver, Hermen Jan Hupkes, J. Douglas Wright

2025-02-06T03:30:30+00:00 ― 7 min read

Analysis of PDEs The Superhero Struggle: Survival in Nature

Explore how habitat differences impact population survival amid challenges.

Jakub Hesoun, Petr Stehlík

2025-02-05T14:11:20+00:00 ― 6 min read

Dynamical Systems Waves in Bistable Systems: Nature's Dance

Discover how simple rules create fascinating wave patterns in bistable systems.

Daniel Špale, Petr Stehlík

2025-02-05T08:51:40+00:00 ― 5 min read

Dynamical Systems The Dynamics of Decaying Oscillations

Exploring the behavior and mathematics behind decaying oscillations in various systems.

Sandip Saha

2025-02-04T03:31:52+00:00 ― 6 min read

Dynamical Systems The Chaotic Dance of Reaction-Diffusion Systems

Discover how chaos and patterns emerge in nature's vibrant dance.

Benjamin Aymard

2025-02-02T18:05:40+00:00 ― 6 min read

Dynamical Systems Patterns in Triod Dynamics: A Simple Journey

Discover the beauty of triod patterns and their implications in various fields.

Sourav Bhattacharya, Ashish Yadav

2025-02-02T16:55:40+00:00 ― 6 min read

Dynamical Systems Fast Convergent Observers in Tank Systems

Learn how fast observers keep water levels stable in interconnected tanks.

Bahia Hadj Ali, Ania Adil, Fazia Bedouhene

2025-02-02T11:36:00+00:00 ― 5 min read

Dynamical Systems Unraveling Dynamic Systems with Kernel Methods

Discover how the Koopman operator and kernel methods analyze complex systems.

Jonghyeon Lee, Boumediene Hamzi, Boya Hou

2025-01-31T11:42:06+00:00 ― 7 min read

Optimization and Control The Dynamics of Sweeping Processes

Learn how sweeping processes shape our understanding of movement and interaction.

Matías Godoy, Manuel Torres-Valdebenito, Emilio Vilches

2025-01-29T22:21:20+00:00 ― 6 min read

Dynamical Systems Chaos Meets Order: Stochastic Stability Unraveled

Discover how systems stay stable amidst noise and randomness in nature.

Jifa Jiang, Xi Sheng, Yi Wang

2025-01-28T19:43:00+00:00 ― 6 min read

Dynamical Systems Understanding Dynamical Systems Through Data

Discover how data helps us interpret the changes in dynamical systems.

Suddhasattwa Das, Tomoharu Suda

2025-01-27T14:24:50+00:00 ― 8 min read

Dynamical Systems Dance of Chaos: Unraveling Dynamical Systems

Exploring maximal entropy and ergodic measures in chaotic dynamical systems.

Chiyi Luo, Dawei Yang

2025-01-27T03:45:30+00:00 ― 8 min read

Dynamical Systems Unlocking the Mysteries of Rational Maps

Dive into the fascinating world of rational maps and their dynamics.

Jan Kiwi, Hongming Nie

2025-01-27T01:05:40+00:00 ― 8 min read

Optimization and Control Mastering Optimal Control in Transport Systems

A look into optimal control methods for managing transport systems effectively.

Tobias Breiten, Shubhaditya Burela, Philipp Schulze

2025-01-26T14:55:50+00:00 ― 6 min read

Dynamical Systems Bistable Differential Equations on Trees

Discover the dynamics of bistable systems within tree structures and their implications.

Petr Stehlík

2025-01-26T14:26:20+00:00 ― 7 min read

Complex Variables The Hidden Insights of Potential Vector Fields

Discover how potential vector fields shape our understanding of the physical world.

Dmitry Bryukhov

2025-01-26T11:46:30+00:00 ― 6 min read

Dynamical Systems The Dance of Numbers: Cycles and Chaos

Discover the fascinating connection between cycles and chaos in mathematical systems.

Alexey Solyanik

2025-01-24T17:09:10+00:00 ― 6 min read

Dynamical Systems The Magic of Entire Functions and Iteration

Explore the fascinating dynamics of entire functions and their surprising behaviors.

Konstantin Bogdanov

2025-01-24T06:29:50+00:00 ― 6 min read

Dynamical Systems Patterns in Nature: The Science Behind Reaction-Diffusion Systems

Explore the fascinating patterns formed by chemical reactions and their significance.

Gulsemay Yigit, Wakil Sarfaraz, Raquel Barreira

2025-01-23T22:30:20+00:00 ― 5 min read

Metric Geometry Microsets and Dimensions: A Mathematical Journey

Explore the fascinating world of microsets and their dimensions in mathematics.

Richárd Balka, Vilma Orgoványi, Alex Rutar

2025-01-22T06:32:50+00:00 ― 7 min read

Dynamical Systems The Colorful Dynamics of Reaction-Diffusion Equations

Discover the vibrant world of reaction-diffusion equations and perfect stationary solutions.

Vladimír Švígler, Jonáš Volek

2025-01-20T19:55:00+00:00 ― 6 min read

Dynamical Systems The Dance of Ergodicity and Interval Exchange Transformations

Discover the fun side of ergodicity through interval exchange transformations.

Przemysław Berk, Krzysztof Frączek, Frank Trujillo

2025-01-20T06:35:50+00:00 ― 5 min read

Dynamical Systems The Dance of Weak Mixing in Diffeomorphisms

Discover how mathematics explains mixing in systems with smooth transformations.

Shilpak Banerjee, Divya Khurana, Philipp Kunde

2025-01-20T01:16:10+00:00 ― 6 min read

Dynamical Systems Understanding the Zeta Function and Schottky Groups

A simple guide to the zeta function and its connections with Schottky groups.

Jialun Li, Carlos Matheus, Wenyu Pan

2025-01-18T11:58:30+00:00 ― 6 min read

Mathematical Physics The Dynamics of Particles and the Universe

Discover how particles move and interact, shaping our universe.

Robert Stańczy, Dorota Bors

2025-01-17T19:09:54+00:00 ― 5 min read