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 …

Бифуркации отображений

АП Кузнецов, АВ Савин, ЮВ Седова, ЛВ Тюрюкина - 2012 - cplire.ru
Представлено введение в теорию бифуркаций отображений. Обсуждаются свойства
основных бифуркаций. Даны различные примеры. Изложение ведется с «физических» …

[HTML][HTML] The three-dimensional generalized Hénon map: Bifurcations and attractors

AE Hampton, JD Meiss - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
We study dynamics of a generic quadratic diffeomorphism, a 3D generalization of the planar
Hénon map. Focusing on the dissipative, orientation preserving case, we give a …

Chaotic polynomial maps

X Zhang - International Journal of Bifurcation and Chaos, 2016 - World Scientific
This paper introduces a class of polynomial maps in Euclidean spaces, investigates the
conditions under which there exist Smale horseshoes and uniformly hyperbolic invariant …

[图书][B] Dynamical systems: theories and applications

Z Elhadj - 2019 - taylorfrancis.com
Chaos is the idea that a system will produce very different long-term behaviors when the
initial conditions are perturbed only slightly. Chaos is used for novel, time-or energy-critical …

Бифуркации трехмерных и четырехмерных отображений: Универсальные свойства

АП Кузнецов, ЮВ Седова - Известия высших учебных заведений …, 2012 - cyberleninka.ru
Подход, в рамках которого картина бифуркаций дискретных отображений
рассматривается в пространстве инвариантов матрицы возмущений (матрицы Якоби) …

Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings

Z Elhadj, JC Sprott - Frontiers of Physics in China, 2009 - Springer
Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings Page
1 Front. Phys. China, 2009, 4(4): 549–555 DOI 10.1007/s11467-009-0060-4 Some explicit …

Visualizing Attractors of the Three-Dimensional Generalized H\'{e} non Map

AE Hampton, JD Meiss - arXiv preprint arXiv:2206.07855, 2022 - arxiv.org
We study dynamics of a generic quadratic diffeomorphism, a 3D generalization of the planar
H\'{e} non map. Focusing on the dissipative, orientation preserving case, we give a …

[PDF][PDF] Hyperchaotic Behavior in a New 3-D Discrete-Time Systems

M Mammeri - International Journal of Research and Reviews in …, 2015 - researchgate.net
A new two dimensional inverse Laplace transform algorithm using analytic expressions for
the gradient and the Hessian matrix, Page 1 IJRRAS 25 (2) ● November 2015 www.arpapress.com/Volumes/Vol25Issue2/IJRRAS_25_2_01.pdf …

Dynamical properties of solutions in a 3-D Lozi map

M Mammeri, NE Kina - Proceedings of the 6th International Arab …, 2019 - researchgate.net
This paper deals with the existence of some interesting properties of solutions for the 3-D
Lozi map, that the results have been confirmed by simple rigorous mathematical analysis …