Latest Articles for Dynamical Systems

A clear guide to the concepts and applications of Generalized Bratteli diagrams.

Exploring how Julia sets change along Mandelbrot set paths reveals deep mathematical insights.

A look into the dynamics of non-singular flows and their classification in 3-manifolds.

Exploring the behavior and geometry of the secant method in root-finding algorithms.

Learn how slight adjustments can dramatically alter system behavior across various fields.

An overview of partially hyperbolic systems and their complex behaviors.

Researchers reveal key findings on inner functions and their recurring behaviors.

Anosov vector fields reveal complex behaviors in dynamical systems.

A study on the properties of flows within isolating blocks and invariant sets.

Examining how memory impacts the stability of gradient ordinary differential equations.

Exploring the significance of the Choquet-Deny property in groups and groupoids.

Exploring how systems develop over time and their convergence behaviors.

This article explores predicting dynamic behaviors using machine learning and deep learning.

A look into how oscillators achieve synchronized behavior through the Kuramoto model.

Examine the impact of barriers on chaotic transport in Hamiltonian systems.

An overview of box dimension and its significance in dynamical systems.

A look into how groups act on spaces through conservative and dissipative properties.

A clear look at symplectic geometry and its link to Hermitian symmetric spaces.

Study reveals complex resonance behaviors in the asymmetric Duffing oscillator.

Exploring the relationship between horocycles and surfaces of genus 2.

This article explores conserved-Hopf instability and its impact on biological and chemical systems.

An overview of graded differential groups and Cartan-Eilenberg systems.

Exploring measures and dynamics in ergodic optimization through unique shift systems.

Researchers study lasting oscillations in quantum Ising chain models after rapid changes.

This study examines weak conjugacy in homeomorphisms, focusing on compact surfaces and invariants.

Explore the significance of arithmetic degrees in dynamical systems and rational maps.

Exploring the unique properties and applications of antinorms in mathematics.

Exploring the behavior of nonlinear Vlasov equations in chaotic geometrical spaces.

This article presents a method for solving complex inclusion problems efficiently.

An overview of metric mean dimension and its role in dynamical systems.

A look into mean dimensions and their role in dynamical systems.

Tao's method offers a simple way to maintain symplectic structure in simulations.

Exploring complex dynamics through itineraries and indecomposable continua.

A look into periodic solutions and their stability in dynamical systems using Chebyshev polynomials.

Explore the fascinating world of entire functions and their unique properties.

Examining metrics and regularity in complex dynamical systems.

Exploring the complex relationships and structures of Riemann surfaces.

Exploring the dynamics and properties of Anosov diffeomorphisms on complete open surfaces.

Exploring how the Kuramoto model enhances reservoir computing performance in machine learning.

A look into wandering sets and inner mappings in dynamical systems.