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 …

Memory effects in complex materials and nanoscale systems

YV Pershin, M Di Ventra - Advances in Physics, 2011‏ - Taylor & Francis
Memory effects are ubiquitous in nature and are particularly relevant at the nanoscale where
the dynamical properties of electrons and ions strongly depend on the history of the system …

Hidden attractors in Chua circuit: mathematical theory meets physical experiments

N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023‏ - Springer
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …

[كتاب][B] Cooperative control of multi-agent systems: a consensus region approach

Z Li, Z Duan - 2017‏ - books.google.com
Distributed controller design is generally a challenging task, especially for multi-agent
systems with complex dynamics, due to the interconnected effect of the agent dynamics, the …

[كتاب][B] Piecewise-smooth dynamical systems: theory and applications

M Bernardo, C Budd, AR Champneys, P Kowalczyk - 2008‏ - books.google.com
This book presents a coherent framework for understanding the dynamics of piecewise-
smooth and hybrid systems. An informal introduction expounds the ubiquity of such models …

[كتاب][B] Chaos and time-series analysis

JC Sprott - 2003‏ - academic.oup.com
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 …

Effects of noise in excitable systems

B Lindner, J Garcıa-Ojalvo, A Neiman… - Physics reports, 2004‏ - Elsevier
We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

Memristor oscillators

M Itoh, LO Chua - International journal of bifurcation and chaos, 2008‏ - World Scientific
The memristor has attracted phenomenal worldwide attention since its debut on 1 May 2008
issue of Nature in view of its many potential applications, eg super-dense nonvolatile …

[كتاب][B] Methods of qualitative theory in nonlinear dynamics

LP Shil'nikov - 2001‏ - books.google.com
Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades,
and numerous introductory and advanced books have been published on this subject. There …

Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits

H Dedieu, MP Kennedy… - IEEE Transactions on …, 1993‏ - ieeexplore.ieee.org
Describes a technique for transmitting digital information using a chaotic carrier. Each
symbol to be transmitted is coded as an attractor in Chua's circuit. The symbols are detected …