Mathematics - Dynamical Systems

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Classical Analysis and ODEs Understanding Fractional Differential Equations and Their Importance

Explore how fractional differential equations shape our understanding of change and solutions.

Michał Fiedorowicz

2025-04-26T14:57:39+00:00 ― 5 min read

Latest Articles

Dynamical Systems Waves of Activity in the Brain

Exploring the dynamics of traveling waves in neural networks.

Safaa Habib, Romain Veltz

2025-04-16T05:07:46+00:00 ― 7 min read

Dynamical Systems Waves, Chaos, and Homoclinic Orbits

Discover the fascinating world of wave behavior and homoclinic orbits.

Inmaculada Baldomá, Marcel Guardia, Dmitry E. Pelinovsky

2025-04-15T20:02:38+00:00 ― 7 min read

Dynamical Systems The Math Behind Minkowski Billiards

Discover the surprising mathematics of Minkowski billiards and its unique behaviors.

Carlos Villanueva, Pengfei Zhang

2025-04-15T07:08:10+00:00 ― 6 min read

Combinatorics The Fascinating World of Automatic Sequences

Explore the intriguing patterns and systems in automatic sequences of mathematics.

Elżbieta Krawczyk

2025-04-14T17:49:00+00:00 ― 7 min read

Dynamical Systems The Fascinating World of Hénon Maps

Uncover the mysteries of Hénon maps and their periodic points.

Hyeonggeun Kim, Holly Krieger, Mara-Ioana Postolache

2025-04-13T20:30:20+00:00 ― 8 min read

Dynamical Systems The Complexity of Cooperation in Society

A look at the challenges of maintaining cooperation in public goods games.

Khadija Khatun, Chen Shen, Jun Tanimoto

2025-04-12T17:52:00+00:00 ― 6 min read

Combinatorics The Role of Linear Compartmental Models in Understanding Systems

Learn how linear compartmental models track movement through various systems.

Cashous Bortner, John Gilliana, Dev Patel

2025-04-12T12:32:20+00:00 ― 6 min read

Machine Learning Improving Predictions with LD-EnSF: A New Approach

LD-EnSF enhances data assimilation for complex systems, improving accuracy and efficiency.

Pengpeng Xiao, Phillip Si, Peng Chen

2025-04-11T15:17:47+00:00 ― 6 min read

Neurons and Cognition The Dynamic Duo of Neuron Function

Homeostasis and neuromodulation work together to keep neurons functioning smoothly.

Arthur Fyon, Guillaume Drion

2025-04-08T21:10:06+00:00 ― 6 min read

Analysis of PDEs Simplifying Complex Dynamics with Autoencoders

A new model streamlines population dynamics, helping researchers predict changes effectively.

Kanav Singh Rana, Nitu Kumari

2025-04-06T18:01:00+00:00 ― 6 min read

Dynamical Systems Unraveling the Mysteries of Ergodic Theory

Explore how systems evolve over time and reveal hidden patterns.

Rongzhong Xiao

2025-04-05T23:22:10+00:00 ― 6 min read

Dynamical Systems Random Maps: The Treasure of Mathematics

Discover the quirky world of random maps and their long-term behavior.

Pablo G. Barrientos, Dominique Malicet

2025-04-05T20:42:20+00:00 ― 6 min read

Number Theory The Fascinating World of Multiplicative Recurrence

Discover how numbers behave under multiplication and form intriguing patterns.

Dimitrios Charamaras, Andreas Mountakis, Konstantinos Tsinas

2025-04-05T07:23:10+00:00 ― 5 min read

Number Theory Unraveling the Mysteries of Julia Sets

Dive into the captivating world of polynomials and Julia sets.

Chifan Leung

2025-04-04T23:23:40+00:00 ― 6 min read

Chaotic Dynamics The Chaotic Dance of Neurons

Discover the intriguing dynamics of neurons in harmony and chaos.

Brandon B. Le

2025-04-03T00:23:58+00:00 ― 6 min read

Dynamical Systems Understanding Non-Uniformly Hyperbolic Systems: A New Approach

Exploring the behavior of complex dynamical systems in new ways.

Leonid A. Bunimovich, Yaofeng Su

2025-04-02T07:27:40+00:00 ― 5 min read

Dynamical Systems The Fascinating World of Cellular Automata

Discover how simple rules create complex behaviors in cellular automata.

Hugo Marsan, Mathieu Sablik

2025-03-31T15:30:10+00:00 ― 5 min read

Dynamical Systems The Fun of Proper Continued Fractions

Discover how proper continued fractions help approximate irrational numbers.

Niels Langeveld, David Ralston

2025-03-30T02:12:30+00:00 ― 7 min read

Dynamical Systems Chaos and Order in Dynamical Systems

Exploring the balance between chaos and predictability in mathematical systems.

Chiyi Luo, Wenhui Ma, Yun Zhao

2025-03-29T18:13:00+00:00 ― 6 min read

Dynamical Systems The Hidden Math of Fractals and Sofic Sets

Discover how shapes reveal secrets of dimensions and complexity.

Nima Alibabaei

2025-03-28T07:35:10+00:00 ― 8 min read

Dynamical Systems The Dance of Random Self-Similar Measures

Delve into the intriguing world of self-similar measures and randomness.

Balázs Bárány, Michał Rams

2025-03-26T15:37:40+00:00 ― 5 min read

Dynamical Systems Chaos and Choices: The Fun of Population Games

Discover how group decisions can lead to chaos and creativity.

Jakub Bielawski, Łukasz Cholewa, Fryderyk Falniowski

2025-03-25T10:19:30+00:00 ― 4 min read

Dynamical Systems Decoding Lyapunov Stability in Dynamical Systems

Learn how Lyapunov stability helps us analyze system behavior over time.

Reza Hadadi

2025-03-24T18:20:30+00:00 ― 6 min read

Dynamical Systems The Intricacies of Self-Affine Sets

Discover the fascinating world of self-affine sets and their unique properties.

Roope Anttila, Alex Rutar

2025-03-23T23:41:40+00:00 ― 5 min read

Dynamical Systems Balancing Act: The World of Equilibrium States

Discover how balance plays a key role in various systems.

Nicolás Arévalo H

2025-03-23T07:42:40+00:00 ― 6 min read

Solar and Stellar Astrophysics The Cosmic Dance of Celestial Bodies

Explore the intricate movements of planets, stars, and moons in space.

Ygal Y. Klein, Boaz Katz

2025-03-22T04:32:00+00:00 ― 7 min read

Statistical Mechanics The Fascinating World of Boids: Nature's Dance

Discover how simple rules create complex behaviors in virtual flocks of birds.

Quoc Chuong Nguyen

2025-03-22T02:56:28+00:00 ― 5 min read

Dynamical Systems The Dance of Cocycles and Rotations

Unraveling the complexity of cocycles in mathematical rotations.

Nikolaos Karaliolios

2025-03-20T05:07:20+00:00 ― 6 min read

Symplectic Geometry Dancing Through Dimensions: The World of Contact Geometry

Discover the intriguing connections between contact geometry and real-world applications.

Simon Vialaret

2025-03-20T02:27:30+00:00 ― 7 min read

Dynamical Systems The Dance of Partial Rigidity in Dynamical Systems

Discover how partial rigidity shapes patterns in dynamical systems over time.

Tristán Radić

2025-03-17T05:11:50+00:00 ― 7 min read

Group Theory Dancing with Symmetry: Groups and Trees

Discover the fascinating relationship between groups and tree structures in mathematics.

Martín Gilabert Vio

2025-03-16T23:52:10+00:00 ― 7 min read

Group Theory The Exciting World of Random Dynamical Systems

Discover how randomness shapes group behavior over time.

Martín Gilabert Vio

2025-03-16T21:12:20+00:00 ― 8 min read

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

Optimization and Control Liquidity Pools: A Deep Dive into DeFi

Learn how liquidity pools and game theory shape decentralized finance.

Juan I. Sequeira, Agustín Muñoz González, Rafael Orive Illera

2025-03-11T23:59:40+00:00 ― 8 min read

Populations and Evolution The Hidden World of Quasispecies

Discover how tiny genetic variations impact viruses and cancer cells.

Edward A. Turner, Francisco Crespo, Josep Sardanyés

2025-03-11T06:55:12+00:00 ― 8 min read

Machine Learning Smart Algorithms Analyze Video Dynamics

Neural networks unlock insights into dynamic processes through video analysis.

Elisa Negrini, Almanzo Jiahe Gao, Abigail Bowering

2025-03-10T05:22:20+00:00 ― 6 min read

Chaotic Dynamics The Dance of Rulkov Neurons: A Choreography of Chaos

Discover how linked Rulkov neurons create diverse behaviors through their unique interactions.

Brandon B. Le

2025-03-08T08:32:08+00:00 ― 5 min read

Metric Geometry Journey into Gromov-Hyperbolic Spaces

Discover the intriguing world of Gromov-hyperbolic spaces and their real-world applications.

Nicola Cavallucci

2025-03-06T16:07:40+00:00 ― 7 min read

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