Results 11 to 20 of about 1,300,042 (313)

Hidden attractors in dynamical systems

Physics Reports, 2016
D. Dudkowski, S. Jafari, T. Kapitaniak, N. Kuznetsov, G. Leonov, A. Prasad   +5 more
semanticscholar   +5 more sources

HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS [PDF]

International Journal of Bifurcation and Chaos, 2013
From a computational point of view, in nonlinear dynamical systems, attractors can be regarded as self-excited and hidden attractors. Self-excited attractors can be localized numerically by a standard computational procedure, in which after a transient process a trajectory, starting from a point of unstable manifold in a neighborhood of equilibrium ...
Leonov, G. A., Kuznetsov, N. V.
openaire   +5 more sources

Design and Analysis of a Novel Fractional-Order System with Hidden Dynamics, Hyperchaotic Behavior and Multi-Scroll Attractors

Mathematics
The design of chaotic systems with complex dynamic behaviors has always been a key aspect of chaos theory in engineering applications. This study introduces a novel fractional-order system characterized by hidden dynamics, hyperchaotic behavior, and ...
Fei Yu, Shuai Xu, Yue Lin, Ting He, Chaoran Wu, Hairong Lin   +5 more
doaj   +2 more sources

Hidden attractors in dynamical systems [PDF]

Physics Reports, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dawid Dudkowski, Sajad Jafari, Tomasz Kapitaniak, Nikolay V. Kuznetsov, Gennady A. Leonov, Awadhesh Prasad   +5 more
openaire   +4 more sources

Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems

Discrete Dynamics in Nature and Society, 2022
Self-excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems are shown to have self-excited and hidden chaotic attractors, respectively.
A. Othman Almatroud, A. E. Matouk, Wael W. Mohammed, Naveed Iqbal, Saleh Alshammari   +4 more
doaj   +1 more source

Emergence of Hidden Attractors through the Rupture of Heteroclinic-Like Orbits of Switched Systems with Self-Excited Attractors

Complexity, 2021
This work is dedicated to the study of an approach that allows the generation of hidden attractors based on a class of piecewise-linear (PWL) systems. The systems produced with the approach present the coexistence of self-excited attractors and hidden ...
R. J. Escalante-González, Eric Campos
doaj   +1 more source

Chaotic Dynamics by Some Quadratic Jerk Systems

Axioms, 2021
This paper is about the dynamical evolution of a family of chaotic jerk systems, which have different attractors for varying values of parameter a. By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both ...
Mei Liu, Bo Sang, Ning Wang, Irfan Ahmad
doaj   +1 more source

Localization of Hidden Attractors in Chua’s System With Absolute Nonlinearity and Its FPGA Implementation

Frontiers in Physics, 2021
Investigation of the classical self-excited and hidden attractors in the modified Chua’s circuit is a hot and interesting topic. In this article, a novel Chua’s circuit system with an absolute item is investigated.
Xianming Wu, Huihai Wang, Shaobo He 
doaj   +1 more source

Hidden Dynamics of a New Jerk-like System with a Smooth Memristor and Applications in Image Encryption

Mathematics, 2023
Considering the dynamic characteristics of memristors, a new Jerk-like system without an equilibrium point is addressed based on a Jerk-like system, and the hidden dynamics are investigated.
Zuolei Wang, Lizhou Zhuang, Jianjiang Yu, Haibo Jiang, Wanjiang Xu, Xuerong Shi   +5 more
doaj   +1 more source

Multistability: Uncovering hidden attractors [PDF]

The European Physical Journal Special Topics, 2015
This topical issue collects contributions exemplifying the recent scientific progress in understanding the dynamics of multistable systems. The individual papers focus on different questions of present day interest in theory and applications of systems with multiple attractors.
T. Kapitaniak, G. A. Leonov
openaire   +1 more source