The structure of infinite periodic and chaotic hub cascades in phase diagrams of simple autonomous flows

JAC Gallas - International Journal of Bifurcation and Chaos, 2010 - World Scientific
This manuscript reports numerical investigations about the relative abundance and structure
of chaotic phases in autonomous dissipative flows, ie in continuous-time dynamical systems …

Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics

SP Kuznetsov - Physics-Uspekhi, 2011 - iopscience.iop.org
Research is reviewed on the identification and construction of physical systems with chaotic
dynamics due to uniformly hyperbolic attractors (such as the Plykin attraction or the Smale …

Novel image encryption algorithm based on new 3-d chaos map

B Bouteghrine, C Tanougast, S Sadoudi - Multimedia Tools and …, 2021 - Springer
Several proposals of chaos-based algorithms have been proposed for secure
communication and image encryption. In this paper, a new algorithm for colour image …

[图书][B] Robust chaos and its applications

E Zeraoulia - 2012 - books.google.com
Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

Динамический хаос и однородно гиперболические аттракторы: от математики к физике

СП Кузнецов - Успехи физических наук, 2011 - ufn.ru
Одним из интенсивно развивающихся в последнее время научных направлений
является исследование сложной динамики и хаоса в нелинейных системах [1-13] …

A tribute to JC Sprott

F Nazarimehr, S Jafari, G Chen… - … Journal of Bifurcation …, 2017 - World Scientific
In honor of his 75th birthday, we review the prominent works of Professor Julien Clinton
Sprott in chaos and nonlinear dynamics. We categorize his works into three important …

[图书][B] Lozi Mappings: Theory and Applications

Z Elhadj - 2013 - books.google.com
This book is a comprehensive collection of known results about the Lozi map, a piecewise-
affine version of the Henon map. Henon map is one of the most studied examples in …

Hyperchaotic oscillation and multistability in a fourth order smooth Chua system with Implementation using no analog multipliers

L Zhu, M Pan - International Journal of Bifurcation and Chaos, 2022 - World Scientific
Abundant dynamical behaviors and succinct realization forms are of great significance for
nonlinear circuits and systems. Hyperchaos represents more complex oscillation mode …

[图书][B] 2-D quadratic maps and 3-D ODE systems: A Rigorous Approach

E Zeraoulia, JC Sprott - 2010 - books.google.com
This book is based on research on the rigorous proof of chaos and bifurcations in 2-D
quadratic maps, especially the invertible case such as the H non map, and in 3-D ODE's …

Prediction of robust chaos in micro and nanoresonators under two-frequency excitation

A Gusso, WG Dantas, S Ujevic - Chaos: An Interdisciplinary Journal of …, 2019 - pubs.aip.org
Robust chaos in a dynamical system is characterized by the persistence of the chaotic
attractor with changes in the system parameters and is generally required in practical …