Scenario of the birth of hidden attractors in the Chua circuit

NV Stankevich, NV Kuznetsov, GA Leonov… - International Journal of …, 2017 - World Scientific
Recently it was shown that in the dynamical model of Chua circuit both the classical self-
excited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua …

Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria

H Bao, N Wang, B Bao, M Chen, P Jin… - … in Nonlinear Science and …, 2018 - Elsevier
Memristor-based nonlinear dynamical system easily presents the initial condition-dependent
dynamical phenomenon of extreme multistability, ie, coexisting infinitely many attractors …

Hidden attractors and multistability in a modified Chua's circuit

N Wang, G Zhang, NV Kuznetsov, H Bao - Communications in Nonlinear …, 2021 - Elsevier
The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's
system with a special Chua's diode. But designing such physical Chua's circuit is a …

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …

H Jahanshahi, A Yousefpour, JM Munoz-Pacheco… - Applied Soft …, 2020 - Elsevier
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …

Comparative performances of synchronisation between different classes of chaotic systems using three control techniques

PP Singh, BK Roy - Annual Reviews in Control, 2018 - Elsevier
This paper puts forward the comparative performances for synchronisation between (i)
systems from different chaotic system families,(ii) systems from the Unified Chaotic System …

Four-wing hidden attractors with one stable equilibrium point

Q Deng, C Wang, L Yang - International Journal of Bifurcation and …, 2020 - World Scientific
Although multiwing hidden attractor chaotic systems have attracted a lot of interest, the
currently reported multiwing hidden attractor chaotic systems are either with no equilibrium …

Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system

NV Kuznetsov, GA Leonov, TN Mokaev, A Prasad… - Nonlinear …, 2018 - Springer
The Rabinovich system, describing the process of interaction between waves in plasma, is
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …

A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees

S Zhang, Y Zeng - Chaos, Solitons & Fractals, 2019 - Elsevier
The topic associated with hidden attractor and multistability has been received considerable
attention recently. In this paper, a novel no-equilibrium Jerk-like chaotic system is …

Multi-scroll hidden attractors with two stable equilibrium points

Q Deng, C Wang - Chaos: An Interdisciplinary Journal of Nonlinear …, 2019 - pubs.aip.org
Multiscroll hidden attractors have attracted extensive research interest in recent years.
However, the previously reported multiscroll hidden attractors belong to only one category of …

A simple method for constructing a family of Hamiltonian conservative chaotic systems

M Ji'e, D Yan, S Sun, F Zhang, S Duan… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Conservative chaotic systems (CCSs) have unique advantages over dissipative chaotic
systems (DCSs) in the fields of secure communication and pseudo-random number …