Latest Articles for Dynamical Systems

Exploring the evolving structure and behavior of adaptive dynamical networks.

Explore the fascinating structures and behaviors of Julia sets in complex dynamics.

A study of cluster algebras and their effects on dynamical systems.

Explore the unique geometric properties of hyperkahler manifolds and their applications.

This article discusses limit cycles and the complexities in proving related theorems.

Explore the fundamental aspects and applications of contact geometry in mathematics and physics.

This study explores the behavior of trajectories in generalized tiling billiards with cyclic polygons.

An overview of generalized Bratteli diagrams and their significance in dynamical systems.

Exploring the effects of randomness in complex systems over time.

This study examines the behavior of mathematical systems with varying speeds.

Examining how sudden changes impact the chaotic nature of Lorenz flows.

A look at Collet-Eckmann polynomials and their impact on Julia sets.

Explore the fascinating world of Wang tiles and their significance in tiling and computation.

Discover the unique properties and dynamics of infinite translation surfaces.

A look into the behavior of parabolic semigroups and their convergence rates.

A look into symplectic geometry's role in magnetic billiards and shape capacities.

Investigating Brody curves and their relation to geometry, dynamics, and information theory.

This article discusses efficient learning in multilayer networked dynamical systems.

A look at invariant foliations and their role in understanding complex systems.

This article explains the fragmentation property of Hamiltonian diffeomorphisms in mathematics.

A study on multiplier polynomials and their impact on dynamical systems.

A new concept that simplifies the analysis of cycles in interval maps.

An analysis of sutured manifolds and their relationships with various homologies.

A look into how Hausdorff dimension relates to complex dynamical systems.

A look into the behavior of flows and knots within manifolds.

Exploring the behavior and properties of toroidal attractors in dynamical systems.

A look into how dissipative systems behave over time and their implications.

An exploration of geodesic flow and its patterns in complex, non-integrable manifolds.

Explore how uncertainty affects the behavior of dynamical systems over time.

Examining Hamiltonian diffeomorphisms and their impact on surface structures.

Examining the concept of orthogonality in dynamical systems and its significance.

Exploring corank-2 homoclinic tangencies and their impact on dynamics.

A study on complex systems using Birkhoff averages and Hausdorff dimensions.

This article discusses how groups influence spaces and their properties.

Explore how chaos theory informs our understanding of biological systems through Andrzej Lasota's work.

Examining the density of periodic points in simply connected Fatou components.

A new method to improve optimization in uncertain systems using few trials.

Learn how differential inclusions approach complex motion challenges across various fields.

Exploring the geometry and significance of 3-forms in symplectic manifolds.

Discover eigenvalues and coboundaries in morphic subshifts for better sequence analysis.