Latest Articles for Dynamical Systems

A look into manifolds, links, and the concept of left-orderability in mathematics.

A look into hyperbolic surfaces and the mathematics behind their unique characteristics.

A novel method estimates system parameters through image analysis and deep learning.

An overview of group actions on the circle focusing on fixed points.

Explore the significance of Hofer-Zehnder capacity in symplectic manifolds.

Exploring stability, entropy, and equilibrium states in complex dynamical systems.

A look into the behaviors of circle maps and their intriguing properties.

A look at intermediate algebras and their role in dynamical systems.

Exploring how networks of chaotic systems achieve synchronization over time.

This work explores a new neural network architecture for predicting Hamiltonian systems.

Explore the dynamics of invariant circles using Birkhoff averages and parameterization methods.

This study reveals how the Ising model behaves under different temperature regimes.

Study of stability in 4D SCFTs under marginal deformations reveals chaotic dynamics.

This study examines ergodic behavior in modified flows on unique surfaces.

This article explores the mixing properties of piecewise affine maps and their chaotic behaviors.

A study of how noise affects state changes in nonlinear resonators.

Research explores limit cycles in systems with different behaviors across regions.

Examining polynomial vector fields and their relationship with algebraic hypersurfaces.

Explore key concepts of manifolds and their geometric structures in mathematics.

A look at the principles and concepts of projective geometry.

An insight into how chaotic behavior arises from saddle-foci in various systems.

This article introduces -divergence in topological dynamics and its implications for lattice theory.

A study of almost additive and asymptotically additive sequences.

Examining the dynamics and implications of one-frequency Schrödinger operators in quantum mechanics.

A study of boundaries in unbounded Fatou components of transcendental entire functions.

Investigating dense orbits in groups with infinitely many connected components.

Examining the intricate isomorphism problem in ergodic theory.

This article discusses the dynamics of polynomial vector fields and their real-world applications.

Exploring Krylov complexity and Trotterization in quantum systems.

Exploring how symmetry affects the movement of balls in polygonal billiards.

An overview of displacement vectors and their significance in mathematics.

A study on the behavior of complex functions and their measures over time.

Analyzing the shift from chaotic to regular patterns in random dynamical systems.

This research investigates the links between shapes and mathematical functions.

Research reveals how shear influences oscillator behavior in complex systems.

Explore the unique behaviors of geodesics in spaces with negative curvature.

A method for evaluating stability in impulsive systems within infinite-dimensional spaces.

A look into discrete weak KAM theory and its insights on dynamical systems.

A look into discrete fast-slow systems and their analysis near singularities.

Examining the interplay between sequences, minimal systems, and entropy in dynamical models.