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Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems
Discrete Dynamics in Nature and Society, 2022 Self-excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems are shown to have self-excited and hidden chaotic attractors, respectively.
A. Othman Almatroud +4 more
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Қарағанды университетінің хабаршысы. Математика сериясыThe Ginzburg-Landau equation with rapidly oscillating terms in the equation and boundary conditions in a perforated domain was considered. Proof was given that the trajectory attractors of this equation converge weakly to the trajectory attractors of ...
K.A. Бекмаганбетов +3 more
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Frontiers in Genetics, 2015 Robust temporal and spatial patterns of cell types emerge in the course of normal development in multicellular organisms. The onset of degenerative diseases may result from altered cell fate decisions that give rise to pathological phenotypes.
Jose eDavila-Velderrain +4 more
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Fortschritte der Physik, 2008 AbstractWe review recent results in the study of attractor horizon geometries (with non‐vanishing Bekenstein‐Hawking entropy) of dyonic extremal d = 4 black holes in supergravity. We focus on 𝒩 = 2, d = 4 ungauged supergravity coupled to a number nVof Abelian vector multiplets, outlining the fundamentals of the special Kähler geometry of the vector ...
Belluci, Stefano +2 more
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"Large" strange attractors in the unfolding of a heteroclinic attractor
Discrete & Continuous Dynamical Systems, 2022 <p style='text-indent:20px;'>We present a mechanism for the emergence of strange attractors in a one-parameter family of differential equations defined on a 3-dimensional sphere. When the parameter is zero, its flow exhibits an attracting heteroclinic network (Bykov network) made by two 1-dimensional connections and one 2-dimensional separatrix ...
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Communications in Mathematical Physics, 1985 There is no agreement in the literature regarding the definition of the concept of attractor in dynamical systems theory. The purpose of this paper is to propose another definition of this term, based on the concept of probable asymptotic behavior of orbits. Definitions of attractor range from the concepts of Lyapunov stability and asymptotic stability
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AxiomsIn the theory of gene networks, the mathematical apparatus that uses dynamical systems is fruitfully used. The same is true for the theory of neural networks. In both cases, the purpose of the simulation is to study the properties of phase space, as well
Diana Ogorelova, Felix Sadyrbaev
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Developing dynamic field theory architectures for embodied cognitive systems with cedar
Frontiers in Neurorobotics, 2016 Embodied artificial cognitive systems such as autonomous robots or intelligent observers connect cognitive processes to sensory and effector systems in real time. Prime candidates for such embodied intelligence are neurally inspired architectures.
Oliver Lomp +3 more
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Human brain dynamics and spatiotemporal trajectories during threat processing
eLifeFunctional MRI (fMRI) research has traditionally investigated task processing using static blocked or event-related designs. Consequently, our understanding of threat processing remains limited to findings from paradigms with restricted dynamics. In this
Joyneel Misra, Luiz Pessoa
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Nonsupersymmetric attractors [PDF]
Physical Review D, 2005 We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black holes. Two conditions are sufficient for this, they are conveniently stated in terms of an effective potential ...
Goldstein, Kevin +3 more
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