Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016‏ - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Data based identification and prediction of nonlinear and complex dynamical systems

WX Wang, YC Lai, C Grebogi - Physics Reports, 2016‏ - Elsevier
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

[كتاب][B] Chaos in dynamical systems

E Ott - 2002‏ - books.google.com
Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

[PDF][PDF] Chaos and Time-Series Analysis

J Sprott - 2003‏ - test-sprott.physics.wisc.edu
This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

[كتاب][B] The essence of chaos

F Lorenzelli - 2014‏ - taylorfrancis.com
The study of chaotic systems has become a major scientific pursuit in recent years, shedding
light on the apparently random behaviour observed in fields as diverse as climatology and …

A rational route to randomness

WA Brock, CH Hommes - Econometrica: Journal of the Econometric Society, 1997‏ - JSTOR
The concept of adaptively rational equilibrium (ARE) is introduced. Agents adapt their beliefs
over time by choosing from a finite set of different predictor or expectations functions. Each …

[كتاب][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 …

[كتاب][B] Cellular automata and complexity: collected papers

S Wolfram - 2018‏ - taylorfrancis.com
Are mathematical equations the best way to model nature? For many years it had been
assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal …

Chaotic vibrations: an introduction for applied scientists and engineers

FC Moon - Research supported by NSF, 1987‏ - ui.adsabs.harvard.edu
Mathematical models of chaotic phenomena in physical systems are discussed in an
introductory overview. Chapters are devoted to the nature of chaotic dynamics, the classical …

[كتاب][B] Nonlinear dynamical economics and chaotic motion

HW Lorenz - 1993‏ - Springer
The plan to publish the present book arose while I was preparing a joint work with Gunter
Gabisch (Gabisch, G./Lorenz, H.-W.: Business Cycle Theory. Berlin-Heidelberg-New York …