Avila used approaches from dynamical systems theory in this work, including renormalization techniques.

In stochastic dynamical systems, different concepts of stability can be obtained in different limits.

Therefore, dynamical systems with the same recurrences are dynamically equivalent.

In many fields of research nonlinear dynamical systems are investigated.

He has also sometimes done the reverse, applying dynamical systems approaches to questions in analysis.

We approach this by drawing on dynamical systems theory.

Avila and Delecroix found that almost all dynamical systems arising in this context are weakly mixing.

Avila's proof has unblocked a whole direction of research in smooth dynamical systems and has already borne fruit.

Or a new framework will emerge from cybernetics, control theory, complexity and dynamical systems theory, semantics and semiotics.

The identification of complex periodic windows in the two-dimensional parameter space of certain dynamical systems has recently attracted considerable interest.

Complex network approaches have recently been applied to continuous spatial dynamical systems, like climate, successfully uncovering the system's interaction structure.

A computational approach adapted from dynamical systems analysis to discern how diverse transient signals relate to alternative cell fates is described.

The aim of this study was to evaluate the characteristics of development of spontaneous movements in infants using dynamical systems analysis.

We developed this technology for dynamical systems by identifying critical design principles and codifying them into a compiler automating the design process.

The a priori and dynamical systems approaches were considered to have their specific advantages and disadvantages on both conceptual and feasibility levels.

She gained widespread recognition for her early results in hyperbolic geometry, and her most recent work constitutes a major advance in dynamical systems.