Bifurcation theory in discrete dynamical systems provides a rigorous framework for analysing qualitative changes in system behaviour as parameters vary. In these systems, subtle modifications of ...

The aim of this paper is to provide new methods concerning the study of stability radius of discrete dynamical systems in infinite-dimensional spaces. We study the stability roughness of a discrete ...

https://doi.org/10.4169/amer.math.monthly.123.2.115 • https://www.jstor.org/stable/10.4169/amer.math.monthly.123.2.115 Copy URL Every orbit of a rigid rotation of a ...

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

At each sampling time instant, one observes system output and action to form discrete-time rewards. The sampled input-output data are collected along the trajectory of the dynamical system in ...