A tribute to JC Sprott
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 …
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» …
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 …
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 …
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 …
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) …
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 …
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 …
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 …
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 …
Lozi map, that the results have been confirmed by simple rigorous mathematical analysis …