Latest Articles for Dynamical Systems

Exploring ergodic endomorphisms and their significance in mathematics.

New models improve estimation methods for ordinary differential equations using observational data.

Exploring concepts of number approximation in mathematical systems and their relationships.

Exploring the role of horocycles in dynamical systems and their extreme values.

An overview of manifolds and their importance in topology.

A look at totally geodesic hypersurfaces in negatively curved geometry.

A look into the dynamics of Anosov diffeomorphisms on toroidal surfaces.

A look at the complex behaviors of the Thomas Attractor through a single control parameter.

An overview of group theory focusing on virtually polycyclic groups and their significance.

A look into semilinear parabolic problems and their implications in various fields.

A look into self-affine fractals and their dimensions through sofic sets.

Shearless curves help organize particle movement in chaotic systems.

Explore the unique properties and constructions of Poncelet polygons in geometry.

This study connects over-twist cycles with interval exchange transformations in one-dimensional systems.

A simplified overview of Lie algebras and their role in integrable systems.

Exploring the shadowing property in dynamical systems and its implications.

Using persistent homology and machine learning to classify system behaviors.

Examining the role and behavior of rational maps in mathematics.

Explore the intriguing properties of continued fractions and their implications in mathematics.

Examining periodic points reveals stability within chaotic dynamical systems.

Discover the study of functions and curves on smooth shapes in various systems.

An overview of Mather's contributions to dynamical systems and their applications.

This article examines discrete-time systems and their complex behaviors through simplified models.

A look into the dynamics of differential equations and equilibrium points.

Recent progress in recurrence analysis enhances our understanding of system behavior over time.

Exploring the complex behavior of Anosov geodesic flow in dynamical systems.

A look into how groups influence structures in mathematics.

Using quantum algorithms to solve classical steady-state problems efficiently.

An overview of rational maps and their dynamics in algebraic geometry.

Examine the dynamics and periodic points of spun pseudo-Anosov maps.

New methods improve Lyapunov exponent calculations, aiding chaos analysis.

A look into the dynamics of outer symplectic billiards and their geometric implications.

A concise overview of ergodic systems and their implications in mathematics.

A look at participation factors and their role in nonlinear system analysis.

Explore the unique properties and implications of negatively curved manifolds.

An overview of interval exchange transformations and their significance in mathematics.

Examining the role of limit cycles in polynomial vector fields and their implications.

A study of trees and their measures in Outer Space reveals complex mathematical relationships.

Discovering the behavior of geodesics on complex surfaces with holes.

Examining the dynamics of Markov chains without absorbing states.