Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022 - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Fractal structures in nonlinear dynamics

J Aguirre, RL Viana, MAF Sanjuán - Reviews of Modern Physics, 2009 - APS
In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

[書籍][B] Transient chaos: complex dynamics on finite time scales

YC Lai, T Tél - 2011 - books.google.com
The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

[書籍][B] Modeling and simulation of systems using MATLAB and Simulink

DK Chaturvedi - 2017 - taylorfrancis.com
Not only do modeling and simulation help provide a better understanding of how real-world
systems function, they also enable us to predict system behavior before a system is actually …

Acceleration of the charged particles due to chaotic scattering in the combined black hole gravitational field and asymptotically uniform magnetic field

Z Stuchlík, M Kološ - The European Physical Journal C, 2016 - Springer
To test the role of large-scale magnetic fields in accretion processes, we study the dynamics
of the charged test particles in the vicinity of a black hole immersed into an asymptotically …

Leaking chaotic systems

EG Altmann, JSE Portela, T Tél - Reviews of Modern Physics, 2013 - APS
There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift: Parallel dynamical evolutions and” climate …

D Jánosi, T Tél - Physics Reports, 2024 - Elsevier
This paper offers a review while also studying yet unexplored features of the area of chaotic
systems subjected to parameter drift of non-negligible rate, an area where the methods of …

[PDF][PDF] Bisection method in higher dimensions and the efficiency number

D Bachrathy, G Stépán - Periodica Polytechnica. Engineering …, 2012 - pp.bme.hu
Several engineering applications need a robust method to find all the roots of a set of
nonlinear equations automatically. The proposed method guarantees monotonous …

Flow networks: A characterization of geophysical fluid transport

E Ser-Giacomi, V Rossi, C López… - … Journal of Nonlinear …, 2015 - pubs.aip.org
We represent transport between different regions of a fluid domain by flow networks,
constructed from the discrete representation of the Perron-Frobenius or transfer operator …

[書籍][B] Networks in climate

HA Dijkstra, E Hernández-García, C Masoller… - 2019 - books.google.com
Over the last two decades the complex network paradigm has proven to be a fruitful tool for
the investigation of complex systems in many areas of science; for example, the Internet …