A proposed standard for the publication of new chaotic systems

JC Sprott - International Journal of Bifurcation and Chaos, 2011 - World Scientific
A PROPOSED STANDARD FOR THE PUBLICATION OF NEW CHAOTIC SYSTEMS |
International Journal of Bifurcation and Chaos World Scientific Search This Journal Anywhere …

[BOOK][B] Elegant chaos: algebraically simple chaotic flows

JC Sprott - 2010 - books.google.com
This heavily illustrated book collects in one source most of the mathematically simple
systems of differential equations whose solutions are chaotic. It includes the historically …

Coexisting hidden attractors in a 4-D simplified Lorenz system

C Li, JC Sprott - International Journal of Bifurcation and Chaos, 2014 - World Scientific
A new simple four-dimensional equilibrium-free autonomous ODE system is described. The
system has seven terms, two quadratic nonlinearities, and only two parameters. Its Jacobian …

A novel five-term 3D chaotic system with cubic nonlinearity and its microcontroller-based secure communication implementation

A Gokyildirim, UE Kocamaz, Y Uyaroglu… - AEU-International Journal …, 2023 - Elsevier
Data security has gained importance over the years. Thus, cryptology is becoming a more
popular phenomenon. In cryptology applications, a chaotic system with third-or higher-order …

[HTML][HTML] Analysis, control, synchronization, and circuit design of a novel chaotic system

V Sundarapandian, I Pehlivan - Mathematical and Computer Modelling, 2012 - Elsevier
This article introduces a novel three-dimensional autonomous chaotic system with a single
cubic nonlinearity. Several issues, such as the basic dynamical behaviour, equilibria …

Diagnosing multistability by offset boosting

C Li, X Wang, G Chen - Nonlinear Dynamics, 2017 - Springer
An offset-boosting-based approach is developed for multistability identification in dynamical
systems, where nonbifurcation operations are used for diagnosing multistability. Compared …

Analysis, synchronization and circuit design of a novel butterfly attractor

I Pehlivan, IM Moroz, S Vaidyanathan - Journal of Sound and Vibration, 2014 - Elsevier
This research paper introduces a novel three-dimensional autonomous system, whose
dynamics support periodic and chaotic butterfly attractors as certain parameters vary. A …

A new piecewise linear hyperchaotic circuit

C Li, JC Sprott, W Thio, H Zhu - IEEE Transactions on Circuits …, 2014 - ieeexplore.ieee.org
When the polarity information in diffusionless Lorenz equations is preserved or removed, a
new piecewise linear hyperchaotic system results with only signum and absolute-value …

Dynamics investigation and chaos-based application of a novel no-equilibrium system with coexisting hidden attractors

C Dong, M Yang, L Jia, Z Li - Physica A: Statistical Mechanics and its …, 2024 - Elsevier
This work presents a novel three-dimensional system with multiple types of coexisting
attractors (including chaotic, periodic, quasi-periodic, and unbound divergent orbit) that are …

Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points

S Cang, Y Li, R Zhang, Z Wang - Nonlinear Dynamics, 2019 - Springer
This paper reports the finding of unusual hidden and self-excited coexisting dynamical
behaviors in an existing Lorenz-like system. For different parameters, the system has …