A dynamical system is a framework used to understand and predict how the behavior of complex systems evolve and change over time. At its core, a dynamical system consists of a finite set of variables, ...

ABSTRACT: Discrete Lotka-Volterra systems in one dimension (the logistic equation) and two dimensions have been studied extensively, revealing a wealth of complex dynamical regimes. We show that three ...

ABSTRACT: Every autonomous dynamical system （X, f）induces a set-valued dynamical system on the space of compact subsets of X. In this paper we have investigated some chaotic relations between a ...

This repository showcases various examples of dynamical systems modeled and simulated using Python. The models cover a range of applications, from simple linear systems to complex nonlinear and ...

Crutchfield, J. P.,Ditto, W. L.,Sinha, S. How dynamical systems store and process information is a fundamental question that touches a remarkably wide set of contemporary issues: from the breakdown of ...

How do communities self-organize to manage a changing environment? Answering this requires addressing the emergence of shared, context-dependent criteria for “cooperativeness.” Existing game-theoretic ...

In many complex systems, predictability can be substantially state-dependent. We propose here a purely data-driven approach for estimating the local predictability at different time scales. The ...