The Lyapunov characteristic exponents and their computation
C Skokos - Dynamics of Small Solar System Bodies and …, 2009 - Springer
We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for
dynamical systems, as well as of the numerical techniques developed for the computation of …
dynamical systems, as well as of the numerical techniques developed for the computation of …
[BOOK][B] Extremes and recurrence in dynamical systems
Written by a team of international experts, Extremes and Recurrence in Dynamical Systems
presents a unique point of view on the mathematical theory of extremes and on its …
presents a unique point of view on the mathematical theory of extremes and on its …
The Shannon entropy: An efficient indicator of dynamical stability
In this work it is shown that the Shannon entropy is an efficient dynamical indicator that
provides a direct measure of the diffusion rate and thus a time-scale for the instabilities …
provides a direct measure of the diffusion rate and thus a time-scale for the instabilities …
[PDF][PDF] DynamicalSystems. jl: A Julia software library for chaos and nonlinear dynamics
G Datseris - Journal of Open Source Software, 2018 - joss.theoj.org
Chaotic systems are everywhere (Strogatz 1995), from celestial mechanics to biology to
electron transport. Not only do they cover many scales, but the phenomena that fall under …
electron transport. Not only do they cover many scales, but the phenomena that fall under …
[BOOK][B] Nonlinear dynamics: a concise introduction interlaced with code
G Datseris, U Parlitz - 2022 - books.google.com
This concise and up-to-date textbook provides an accessible introduction to the core
concepts of nonlinear dynamics as well as its existing and potential applications. The book …
concepts of nonlinear dynamics as well as its existing and potential applications. The book …
Intramolecular vibrational energy redistribution and the quantum ergodicity transition: a phase space perspective
Intramolecular vibrational energy redistribution (IVR) impacts the dynamics of reactions in a
profound way. Theoretical and experimental studies are increasingly indicating that …
profound way. Theoretical and experimental studies are increasingly indicating that …
Stickiness in chaos
G Contopoulos, M Harsoula - International Journal of Bifurcation and …, 2008 - World Scientific
We distinguish two types of stickiness in systems of two degrees of freedom:(a) stickiness
around an island of stability, and (b) stickiness in chaos, along the unstable asymptotic …
around an island of stability, and (b) stickiness in chaos, along the unstable asymptotic …
Phase Transition to Chaos in Complex Ecosystems with Nonreciprocal Species-Resource Interactions
Nonreciprocal interactions between microscopic constituents can profoundly shape the
large-scale properties of complex systems. Here, we investigate the effects of nonreciprocity …
large-scale properties of complex systems. Here, we investigate the effects of nonreciprocity …
Comparative study of variational chaos indicators and ODEs' numerical integrators
The reader can find in the literature a lot of different techniques to study the dynamics of a
given system and also, many suitable numerical integrators to compute them …
given system and also, many suitable numerical integrators to compute them …
[HTML][HTML] Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map
We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD)
computations of initially nearby orbits to detect chaos in conservative dynamical systems …
computations of initially nearby orbits to detect chaos in conservative dynamical systems …