Backward Controller of a Pullback Attractor for Delay Benjamin-Bona-Mahony Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-019-09450-9
Abstract: A new concept called backward controller for an evolution process is introduced, which is the minimal compact set controlling all fibers of the pullback attractor in the past. The existence criteria are established by using… read more here.
Keywords: bona mahony; benjamin bona; attractor; backward controller ... See more keywords
Sampling Hyperspheres via Extreme Value Theory: Implications for Measuring Attractor Dimensions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02573-5
Abstract: The attractor Hausdorff dimension is an important quantity bridging information theory and dynamical systems, as it is related to the number of effective degrees of freedom of the underlying dynamical system. By using the link… read more here.
Keywords: theory; curse dimensionality; attractor; value theory ... See more keywords
Competitive mode and topological properties of nonlinear systems with hidden attractor
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3357-9
Abstract: Mechanism for the generation of attractor in nonlinear systems with hidden attractor is still not understood completely. Since such systems do not possess all the requisite properties related to fixed points (sometimes they do not… read more here.
Keywords: systems hidden; competitive mode; attractor; nonlinear systems ... See more keywords
Simulink implementation of a new optoelectronic integrated circuit: stability analysis and infinite-scroll attractor
Sign Up to like & getrecommendations! Published in 2021 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-021-02990-0
Abstract: In this paper a 6-D optoelectronic system consisting of an optical injected semiconductor laser driven by a resonant tunneling diode is reported. A stability analysis of the hybrid system is analytically and numerically performed and… read more here.
Keywords: stability analysis; stability; attractor; infinite scroll ... See more keywords
On the Appearance of Mixed Dynamics as a Result of Collision of Strange Attractors and Repellers in Reversible Systems
Sign Up to like & getrecommendations! Published in 2019 at "Radiophysics and Quantum Electronics"
DOI: 10.1007/s11141-019-09925-6
Abstract: In this work, we propose a scenario of appearance of mixed dynamics in reversible two-dimensional diffeomorphisms. A jump-like increase in the sizes of the strange attractor and strange repeller, which is due to the heteroclinic… read more here.
Keywords: strange attractor; mixed dynamics; repeller; attractor ... See more keywords
Dynamics of a new composite four–Scroll chaotic system
Sign Up to like & getrecommendations! Published in 2018 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2018.06.022
Abstract: Abstract A new three-dimensional autonomous chaotic system is proposed. This new system can generate single-scroll, double-scroll, three-scroll and four-scroll attractors under different system parameters. Particularly, it can generate a four-scroll chaotic attractor composed of a… read more here.
Keywords: system; scroll chaotic; attractor; scroll ... See more keywords
Predicting epileptic seizures from scalp EEG based on attractor state analysis
Sign Up to like & getrecommendations! Published in 2017 at "Computer methods and programs in biomedicine"
DOI: 10.1016/j.cmpb.2017.03.002
Abstract: BACKGROUND AND OBJECTIVE Epilepsy is the second most common disease of the brain. Epilepsy makes it difficult for patients to live a normal life because it is difficult to predict when seizures will occur. In… read more here.
Keywords: attractor; scalp eeg; attractor state; seizure ... See more keywords
Dynamics of delay induced composite multi-scroll attractor and its application in encryption
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2017.04.014
Abstract: Abstract Time delay feedback has been shown to produce chaos from non-chaotic systems. In this paper, besides the single and double scroll chaotic attractors, a new composite multi-scroll attractor is found in stable systems with… read more here.
Keywords: composite multi; multi scroll; attractor; scroll ... See more keywords
Global attractor of the quasi-linear wave equation with strong damping
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.10.021
Abstract: Abstract The paper investigates the existence of global attractor of the quasi-linear wave equation with strong damping u t t − γ Δ u t − Δ u + f ( u ) = ∇… read more here.
Keywords: global attractor; attractor quasi; attractor; linear wave ... See more keywords
Attractor Dynamics in Networks with Learning Rules Inferred from In Vivo Data
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DOI: 10.1016/j.neuron.2018.05.038
Abstract: The attractor neural network scenario is a popular scenario for memory storage in the association cortex, but there is still a large gap between models based on this scenario and experimental data. We study a… read more here.
Keywords: firing rates; attractor dynamics; attractor; learning rules ... See more keywords
The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep
Sign Up to like & getrecommendations! Published in 2019 at "Nature Neuroscience"
DOI: 10.1038/s41593-019-0460-x
Abstract: Neural circuits construct distributed representations of key variables—external stimuli or internal constructs of quantities relevant for survival, such as an estimate of one’s location in the world—as vectors of population activity. Although population activity vectors… read more here.
Keywords: across waking; attractor; circuit; population activity ... See more keywords