Latest Articles for Dynamical Systems

A study on the stability and behavior of coupled equations in physical systems.

A look into the study of groups, representations, and their actions on structures.

Study how small changes lead to major shifts in system behavior.

A look at Lyapunov exponents and their role in chaotic systems.

A study presents a method to compute Lyapunov vectors using data assimilation.

This study examines the unique movement patterns of particles on various billiard table shapes.

Exploring how deep learning analyzes complex dynamical systems.

Exploring quasiperiodic functions and their unique level lines in mathematical physics.

A look at integrable maps within the Volterra lattice framework.

This article discusses nilpotent centers and their significance in switching Li enard systems.

Explore the connections and distances between Lagrangian submanifolds in symplectic geometry.

A look at superintegrable systems and polynomial algebras in mathematical physics.

An overview of polynomials' behavior and their relationship with Julia sets.

A study on the behavior of meromorphic maps and their attracting basins.

Explores the interaction of group structures and subshifts in mathematics.

Explore the relationships between nested ellipses, rotation numbers, and dynamical systems.

Exploring particle motion and chaotic behavior in unique curved shapes.

A look into ergodic averages and their role in prime number patterns.

Examining odometers and their unique symmetries in dynamical systems.

A look into sub-von Neumann algebras and their dynamics with countable groups.

This article discusses stability analysis using Lyapunov functions in linear dynamical systems.

Exploring the behavior of area-preserving maps in chaotic systems.

Explore how small parameter changes lead to significant system behavior shifts.

A look at how quasienergy and Floquet eigenstates reveal system behaviors.

A look into complex functions and their fascinating behaviors.

Explore the structures and behaviors of dilation surfaces and their fascinating foliations.

A look into the key concepts of symplectic geometry and its applications.

This study reveals patterns in complex shapes from quadratic polynomials.

This article explores the properties of knots and their complements in circle bundles over surfaces.

Analyzing unique behaviors in dynamical systems on complex manifolds.

An overview of Leavitt path algebras, classification methods, and their connections to other mathematical areas.

Exploring undecidability in subshifts of finite type and sofic subshifts.

This article delves into hitting distributions within random dynamical systems.

Discover how piecewise-linear maps lead to complex behavior and chaos.

An overview of interpolation sets and their impact on dynamical systems.

Study of interacting systems reveals insights into complex dynamics.

A look at linear dynamics, focusing on operators, recurrence, and hypercyclicity.

Explore unique behaviors of particle systems and their periodic interactions.

This study examines how PCA reveals transitions between dispersive and dissipative systems.

An in-depth look at Anosov flows and their key properties.