New hybrid synchronisation schemes based on coexistence of various types of synchronisation between master-slave hyperchaotic systems

A Ouannas, AT Azar… - International Journal of …, 2017 - inderscienceonline.com
In this paper, we present new approaches to study the co-existence of some types of
synchronisation between hyperchaotic dynamical systems. The paper first analyses, based …

Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

S Gonchenko, A Kazakov, D Turaev - Nonlinearity, 2021 - iopscience.iop.org
Wild pseudohyperbolic attractor in a four- dimensional Lorenz system Page 1 Nonlinearity PAPER
Wild pseudohyperbolic attractor in a fourdimensional Lorenz system To cite this article: Sergey …

Hyperchaos and multistability in the model of two interacting microbubble contrast agents

IR Garashchuk, DI Sinelshchikov… - … Journal of Nonlinear …, 2019 - pubs.aip.org
We study nonlinear dynamics of two coupled contrast agents that are micrometer size gas
bubbles encapsulated into a viscoelastic shell. Such bubbles are used for enhancing …

Chaos and hyperchaos via secondary Neimark–Sacker bifurcation in a model of radiophysical generator

N Stankevich, A Kuznetsov, E Popova, E Seleznev - Nonlinear dynamics, 2019 - Springer
Using an example of a radiophysical generator model, scenarios for the formation of various
chaotic attractors are described, including chaos and hyperchaos. It is shown that as a result …

Ultra-chaos: an insurmountable objective obstacle of reproducibility and replicability

S Liao, S Qin - arXiv preprint arXiv:2110.00143, 2021 - arxiv.org
In this paper, a new concept, ie ultra-chaos, is proposed for the first time. Unlike a normal-
chaos, statistical properties such as the probability density functions (PDF) of an ultra-chaos …

Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators

N Stankevich, E Volkov - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
We investigate the dynamics of three identical three-dimensional ring synthetic genetic
oscillators (repressilators) located in different cells and indirectly globally coupled by …

[HTML][HTML] Chaotic and hyperchaotic dynamics of a Clapp oscillator

J Petrzela - Mathematics, 2022 - mdpi.com
This paper describes recent findings achieved during a numerical investigation of the circuit
known as the Clapp oscillator. By considering the generalized bipolar transistor as an active …

Cascade of torus birth bifurcations and inverse cascade of Shilnikov attractors merging at the threshold of hyperchaos

IR Sataev, NV Stankevich - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
We study the hyperchaos formation scenario in the modified Anishchenko–Astakhov
generator. The scenario is connected with the existence of sequence of secondary torus …

Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters

X Zhou, Y Wu, Y Li, H Xue - Applied Mathematics and Computation, 2008 - Elsevier
In this paper, the problems of control and synchronization of a novel hyperchaotic system
with uncertain parameters are studied. Based on the Lyapunov stability theory and the …

Spiral chaos in the nonholonomic model of a Chaplygin top

AV Borisov, AO Kazakov, IR Sataev - Regular and Chaotic Dynamics, 2016 - Springer
This paper presents a numerical study of the chaotic dynamics of a dynamically asymmetric
unbalanced ball (Chaplygin top) rolling on a plane. It is well known that the dynamics of …