Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden …

GA Leonov, NV Kuznetsov, TN Mokaev - The European Physical Journal …, 2015 - Springer
In this paper, we discuss self-excited and hidden attractors for systems of differential
equations. We considered the example of a Lorenz-like system derived from the well-known …

Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Initial offset boosting coexisting attractors in memristive multi-double-scroll Hopfield neural network

S Zhang, J Zheng, X Wang, Z Zeng, S He - Nonlinear Dynamics, 2020 - Springer
Memristors are widely considered to be promising candidates to mimic biological synapses.
In this paper, by introducing a non-ideal flux-controlled memristor model into a Hopfield …

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 …

Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

GA Leonov, NV Kuznetsov, TN Mokaev - Communications in Nonlinear …, 2015 - Elsevier
In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is
considered. It is shown numerically that this system, like the classical Lorenz system …

Dynamical properties of a meminductor chaotic system with fractal–fractional power law operator

P Li, L Han, C Xu, X Peng, M ur Rahman, S Shi - Chaos, Solitons & Fractals, 2023 - Elsevier
Purpose: This study aims to explore the intricate and concealed chaotic structures of
meminductor systems and their applications in applied sciences by utilizing fractal fractional …

Analysis and adaptive control of a novel 3-D conservative no-equilibrium chaotic system

S Vaidyanathan, C Volos - Archives of Control Sciences, 2015 - infona.pl
First, this paper announces a seven-term novel 3-D conservative chaotic system with four
quadratic nonlinearities. The conservative chaotic systems are characterized by the …

A simple chaotic flow with a plane of equilibria

S Jafari, JC Sprott, M Molaie - International Journal of Bifurcation …, 2016 - World Scientific
Using a systematic computer search, a simple four-dimensional chaotic flow was found that
has the unusual feature of having a plane of equilibria. Such a system belongs to a newly …

Simple chaotic 3D flows with surfaces of equilibria

S Jafari, JC Sprott, VT Pham, C Volos, C Li - Nonlinear Dynamics, 2016 - Springer
Using a systematic computer search, twelve simple three-dimensional chaotic flows were
found that have surfaces of equilibria. Although there are some four-dimensional systems …

[PDF][PDF] Adaptive synchronization of novel 3-D chemical chaotic reactor systems

S Vaidyanathan - parameters, 2015 - researchgate.net
Chaos theory has a manifold variety of applications in science and engineering. In this
paper, new chemical chaotic reactor equations are derived by modifying the chemical …