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 **e - 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 …

A new 4-D multi-stable hyperchaotic system with no balance point: Bifurcation analysis, circuit simulation, FPGA realization and image cryptosystem

S Vaidyanathan, A Sambas, E Tlelo-Cuautle… - Ieee …, 2021‏ - ieeexplore.ieee.org
In this work, we describe the model of a new 4-D hyperchaotic system with no balance point
and deduce that the new hyperchaotic system has a hidden attractor. We present a detailed …

Chaos in a pendulum adaptive frequency oscillator circuit experiment

X Li, A Beal, R Dean, E Perkins - Chaos Theory and Applications, 2023‏ - dergipark.org.tr
Adaptive oscillators can learn and encode information in dynamic, plastic states. The
pendulum has recently been proposed as the base oscillator of an adaptive system. In a …

Exploring the sensitivity of river flow patterns to meteorological drought using multifractal and cross-correlation applications

F Rahmani, MH Fattahi - Journal of Water and Climate Change, 2024‏ - iwaponline.com
Climate change has impacted both the duration and intensity of droughts during the past
decades. Rivers are valuable resources that are sensitive to alterations owing to droughts …

Global history, the emergence of chaos and inducing sustainability in networks of socio-ecological systems

S Roman, F Bertolotti - Plos one, 2023‏ - journals.plos.org
In this study, we propose a simplified model of a socio-environmental system that accounts
for population, resources, and wealth, with a quadratic population contribution in the …

[HTML][HTML] Leonid Shilnikov and mathematical theory of dynamical chaos

S Gonchenko, A Kazakov, D Turaev… - … Journal of Nonlinear …, 2022‏ - pubs.aip.org
This Focus Issue “Global Bifurcations, Chaos, and Hyperchaos: Theory and Applications” is
dedicated to the 85th anniversary of the great mathematician, one of the founding fathers of …

Rotobreathers in a chain of coupled elastic rotators

AV Savin, IR Sunagatova, SV Dmitriev - Physical Review E, 2021‏ - APS
Rotobreathers in the chain of coupled linearly elastic rotators are analyzed. Each rotator is a
particle connected by a massless elastic rod with a frictionless pivot; it has two degrees of …

Multi-parameter analysis of transition from conservative to dissipative behaviors for a reversible dynamic system

Y Li, M Yuan, Z Chen - Chaos, Solitons & Fractals, 2022‏ - Elsevier
In this paper, an existing reversible system is reviewed. First, the energy of the system is
analyzed, and a numerical derivation finds that the system satisfies energy-conservative if …

[PDF][PDF] Leonid Shilnikov 和动力学混沌的数学理论

S Gonchenko, A Kazakov, D Turaev‏ - mashqliu.com
焦点问题“全局分岔, 混沌和超混沌: 理论和应用” 是为了纪念Leonid Pavlovich Shilnikov
这位伟大的数学家诞辰85 周年, 他是动力学混沌理论的创始人之一. 他的作品决定性地影响了非 …

Leonid Shilnikov and mathematical theory of dynamical chaos

A Kazakov, S Gonchenko, D Turaev… - arxiv preprint arxiv …, 2021‏ - arxiv.org
arxiv:2112.02423v2 [math.DS] 11 Dec 2021 Page 1 Leonid Shilnikov and mathematical theory
of dynamical chaos Leonid Shilnikov and mathematical theory of dynamical chaos Sergey …