Results 41 to 50 of about 32,625 (190)

Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity

, 2014
In this paper a Lorenz-like system, describing the process of rotating fluid convection, is considered. The present work demonstrates numerically that this system, also like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic ...
Kuznetsov, N. V., Leonov, G. A., Mokaev, T. N.   +2 more
core   +1 more source

Chaos in a generalized Lorenz system [PDF]

, 2008
A three-component dynamic system with influence of pumping and nonlinear dissipation describing a quantum cavity electrodynamic device is studied. Different dynamical regimes are investigated in terms of divergent trajectories approaches and fractal ...
Andronof, Berre, Black, Blakely, Boccaleti, Bracikowski, Chen, Chlouverakis, D.O. Kharchenko, Domokos, E.D. Belokolos, Gambino, Gao, Gardiner, Gills, Grasberger, Guckenheimer, Haken, Haken, Hassard, Kaplan, Khanin, Lichtenberg, Liu, Lorenz, Lugiato, Lugiato, Mello, Olemskoi, Olemskoi, Prands, Rulkov, Sagdeev, Shuster, Sprott, V.O. Kharchenko, Van Wiggeren, Wu, Yan, Yau   +39 more
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Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

Mathematics, 2022
In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor ...
Zhenggang Guo, Junjie Wen, Jun Mou
doaj   +1 more source

Coexistence of periods in a bisecting bifurcation

, 2011
The inner structure of the attractor appearing when the Varley-Gradwell-Hassell population model bifurcates from regular to chaotic behaviour is studied. By algebraic and geometric arguments the coexistence of a continuum of neutrally stable limit cycles
Botella-Soler, V., Oteo, J. A., Ros, J.
core   +2 more sources

Extensive chaos in Rayleigh-Bénard convection [PDF]

, 2007
Using large-scale numerical calculations we explore spatiotemporal chaos in Rayleigh-Bénard convection for experimentally relevant conditions. We calculate the spectrum of Lyapunov exponents and the Lyapunov dimension describing the chaotic dynamics of ...
Cross, M. C., Einarsson, M. I., Fischer, P. F., Paul, M. R.   +3 more
core   +1 more source

A new three-dimensional chaotic flow with one stable equilibrium: dynamical properties and complexity analysis

Open Physics, 2018
This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium.
Khalaf Abdul Jalil M., Kapitaniak Tomasz, Rajagopal Karthikeyan, Alsaedi Ahmed, Hayat Tasawar, Pham Viet–Thanh   +5 more
doaj   +1 more source

Chaotic neuron clock

, 2011
A simple threshold model of neuron firing (with the neuron membrane electrochemical potential governed by the chaotic Rossler attractor) has been analyzed by mapping the generated irregular spiking time-series into telegraph signals.
Bershadskii, A., Ikegaya, Y.
core   +1 more source

A Conditional Symmetric Memristive System With Infinitely Many Chaotic Attractors

IEEE Access, 2020
A chaotic system with a hyperbolic function flux-controlled memristor is designed, which exhibits conditional symmetry and attractor growing. The newly introduced cosine function keeps the polarity balance when some of the variables get polarity inversed
Jiacheng Gu, Chunbiao Li, Yudi Chen, Herbert H. C. Iu, Tengfei Lei   +4 more
doaj   +1 more source

Hidden Dynamics of a New Jerk-like System with a Smooth Memristor and Applications in Image Encryption

Mathematics, 2023
Considering the dynamic characteristics of memristors, a new Jerk-like system without an equilibrium point is addressed based on a Jerk-like system, and the hidden dynamics are investigated.
Zuolei Wang, Lizhou Zhuang, Jianjiang Yu, Haibo Jiang, Wanjiang Xu, Xuerong Shi   +5 more
doaj   +1 more source

Multi-valued mappings in generalized chaos synchronization [PDF]

, 2001
The onset of generalized synchronization of chaos in directionally-coupled systems corresponds to the formation of a continuous mapping which enables one to persistently define the state of the response system from the trajectory of the drive system. The
Afraimovich, V. S., Chazottes, J. -R., Cordonet, A., Lewis, C. T., Rulkov, N. F.   +4 more
core   +1 more source