A locally active discrete memristor model and its application in a hyperchaotic map

M Ma, Y Yang, Z Qiu, Y Peng, Y Sun, Z Li, M Wang - Nonlinear Dynamics, 2022 - Springer
The continuous memristor is a popular topic of research in recent years, however, there is
rare discussion about the discrete memristor model, especially the locally active discrete …

Physics of bubble oscillations

W Lauterborn, T Kurz - Reports on progress in physics, 2010 - iopscience.iop.org
Bubbles in liquids, soft and squeezy objects made of gas and vapour, yet so strong as to
destroy any material and so mysterious as at times turning into tiny light bulbs, are the topic …

A new test for chaos in deterministic systems

GA Gottwald, I Melbourne - Proceedings of the Royal …, 2004 - royalsocietypublishing.org
We describe a new test for determining whether a given deterministic dynamical system is
chaotic or non–chaotic. In contrast to the usual method of computing the maximal Lyapunov …

[图书][B] Chaos in nonlinear oscillators: controlling and synchronization

M Lakshmanan, K Murali - 1996 - books.google.com
This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear
oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators …

Comparison of different methods for computing Lyapunov exponents

K Geist, U Parlitz, W Lauterborn - Progress of theoretical physics, 1990 - academic.oup.com
Different discrete and continuous methods for computing the Lyapunov exponents of
dynamical systems are compared for their efficiency and accuracy. All methods are either …

Antimonotonicity, chaos and multiple attractors in a novel autonomous memristor-based jerk circuit

J Kengne, AN Negou, D Tchiotsop - Nonlinear Dynamics, 2017 - Springer
A novel memristor-based oscillator derived from the autonomous jerk circuit (Sprott in IEEE
Trans Circuits Syst II Express Briefs 58: 240–243, 2011) is proposed. A first-order memristive …

Dynamics of two models of driven extended jerk oscillators: Chaotic pulse generations and application in engineering

F Kenmogne, S Noubissie, GB Ndombou… - Chaos, Solitons & …, 2021 - Elsevier
This paper investigates the dynamics of two models of jerk equations: The first one which is
very simple and driven by an external constant signal, and the second one more …

[图书][B] Chaos for engineers: theory, applications, and control

T Kapitaniak - 2000 - books.google.com
Chaos occurs widely in both natural and man-made systems. Recently, examples of the
potential usefulness of chaotic behavior have caused growing interest among engineers …

Antimonotonicity: inevitable reversals of period-doubling cascades

SP Dawson, C Grebogi, JA Yorke, I Kan, H Koçak - Physics Letters A, 1992 - Elsevier
In many common nonlinear dynamical systems depending on a parameter, it is shown that
periodic orbit creating cascades must be accompanied by periodic orbit annihilating …

[图书][B] Nonlinear dynamics: a concise introduction interlaced with code

G Datseris, U Parlitz - 2022 - books.google.com
This concise and up-to-date textbook provides an accessible introduction to the core
concepts of nonlinear dynamics as well as its existing and potential applications. The book …