Latest Articles for Dynamics

A deep dive into the behavior and classification of polynomial vector fields.

Investigating the interaction between rational maps and Hecke groups through mating.

Using machine learning to distinguish chaotic and regular behaviors in Hamiltonian systems.

Exploring how external forces affect the behavior of harmonic oscillators.

Learn how friction affects mechanical systems with constraints.

This article examines how linked pendulums interact and influence each other's motion.

A look at discrete periodic Toda flow and its mathematical connections.

Exploring how an elevator's movement changes pendulum motion.

Exploring how voltage affects soap film bridges and their behavior.

Exploring collision orbits and their implications for space travel dynamics.

Innovative method enhances beam analysis efficiency and accuracy.

Explore how chirality affects phase behavior in active matter systems.

Exploring periodic behaviors in a map defined by three lines.

Examining the interplay between van der Corput sets and amenable groups.

A look into how Bratteli diagrams represent complex dynamical systems.

Explore the links between shapes, transformations, and algebraic structures in mathematics.

Explore the dynamics and constraints of nonholonomic systems in mechanical engineering.

A look into hypercyclicity and its implications in mathematics and beyond.

A new action principle enhances understanding of mechanical systems, especially non-holonomic ones.

An overview of polynomials and their behaviors in dynamics.

Examining how four-state systems interact and change under different conditions.

Learn about canonical transformations and their significance in classical mechanics.

A look into the layers and dynamics of foliations.

Exploring non-saddle sets and their significance in understanding mathematical flow.

Exploring the complex collisions of four marbles in a one-dimensional line.

A look at how timing influences autoresonance and system stability.

A look at how uncertainty affects engineering and science.

New methods help robots maintain balance in uncertain environments.

A look into locally conformal dynamics and its implications for understanding complex systems.

Explore how active particles move and interact in their environments.

Researchers discover unique patterns in many-body systems through new cellular automata.

Discover how balance plays a key role in various systems.

A deep dive into the intriguing dynamics of bosonic systems.

Explore how Thue-Morse systems reveal insights into particle behavior under various forces.

Discover the fun side of ergodicity through interval exchange transformations.