Dynamical analysis, circuit implementation, and simultaneous application of a novel four-dimensional hyperchaotic system based on cosine functions

J Zhang, J Hou, L Xu, X Zhu, Q Xie - Microelectronic Engineering, 2023 - Elsevier
In this paper, based on the Jerk system, a novel four-dimensional hyperchaotic system
containing five parametric constants, four variables, and a nonlinear term for a multi-vortex …

Stabilization and complex dynamics initiated by pulsed force in the Rössler system near saddle-node bifurcation

N Stankevich - Nonlinear Dynamics, 2024 - Springer
Stabilization by a periodic pulsed force of trajectories running away to infinity in the three-
dimensional Rössler system at a threshold of a saddle-node bifurcation, birth of equilibrium …

Transition to hyperchaos: Sudden expansion of attractor and intermittent large-amplitude events in dynamical systems

S Leo Kingston, T Kapitaniak, SK Dana - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
Hyperchaos is distinguished from chaos by the presence of at least two positive Lyapunov
exponents instead of just one in dynamical systems. A general scenario is presented here …

Scenarios of hyperchaos occurrence in 4D Rössler system

N Stankevich, A Kazakov, S Gonchenko - Chaos: An Interdisciplinary …, 2020 - pubs.aip.org
The generalized four-dimensional Rössler system is studied. Main bifurcation scenarios
leading to a hyperchaos are described phenomenologically and their implementation in the …

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 …

EEG analysis in structural focal epilepsy using the methods of nonlinear dynamics (Lyapunov exponents, Lempel–Ziv complexity, and multiscale entropy)

TV Yakovleva, IE Kutepov, AY Karas… - The Scientific World …, 2020 - Wiley Online Library
This paper analyzes a case with the patient having focal structural epilepsy by processing
electroencephalogram (EEG) fragments containing the “sharp wave” pattern of brain activity …

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 …

Three-dimensional torus breakdown and chaos with two zero Lyapunov exponents in coupled radio-physical generators

NV Stankevich, NA Shchegoleva… - Journal of …, 2020 - asmedigitalcollection.asme.org
Using an example a system of two coupled generators of quasi-periodic oscillations, we
study the occurrence of chaotic dynamics with one positive, two zero, and several negative …

Vibrational resonance analysis in a fractional order Toda oscillator model with asymmetric potential

J Wang, R Zhang, J Liu - International Journal of Non-Linear Mechanics, 2023 - Elsevier
This work is concerned with vibrational resonance (VR) in a fractional order Toda oscillator
model with asymmetric potential. First, by virtue of the method of separation of slow and fast …