Results 31 to 40 of about 20,865 (289)
Advances in Difference Equations, 2017 The boundedness of chaotic systems plays an important role in investigating the stability of the equilibrium, estimating the Lyapunov dimension of attractors, the Hausdorff dimension of attractors, the existence of periodic solutions, chaos control, and ...
Guangyun Zhang, Fuchen Zhang, Min Xiao
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The dynamics of critical Kauffman networks under asynchronous stochastic update
, 2005 We show that the mean number of attractors in a critical Boolean network under asynchronous stochastic update grows like a power law and that the mean size of the attractors increases as a stretched exponential with the system size.
Barbara Drossel +7 more
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Many Attractors, Long Chaotic Transients, and Failure in Small-World Networks of Excitable Neurons [PDF]
, 2007 We study the dynamical states that emerge in a small-world network of recurrently coupled excitable neurons through both numerical and analytical methods.
Alex Roxin +4 more
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Lamé system with weak damping and nonlinear time-varying delay
Advances in Nonlinear Analysis, 2023 This article is concerned with the stability and dynamics for the weak damped Lamé system with nonlinear time-varying delay in a bounded domain. Under some appropriate assumptions, the global well-posedness and asymptotic stability are shown in the case ...
Yang Xin-Guang +2 more
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Darboux integrability of a hyperjerk memristive system
Zanco Journal of Pure and Applied Sciences, 2023 In this work, we investigate the following novel four-dimensional dynamical memristive system (see, (Prousalis et al., 2017)) This system, in a certain area of the parameter space, exhibits hyper-jerk dynamics and a line of singularities passing ...
Niazy Hady Hussein ,Soran Mohammed Khudur
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Method for characteristic phase detection in systems with complex topology of attractor being near the boundary of generalized synchronization [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2020 The aim of the paper consists in the development of universal method for the detection of characteristic phases of the behavior in systems with complex topology of attractor being in the regime of intermittent generalized synchronization.
Moskalenko, Olga Igorevna +2 more
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, 2001 Aperiodic dynamics which is nonchaotic is realized on Strange Nonchaotic attractors (SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like strange attractors, are geometrically fractal.
Negi, Surendra Singh +2 more
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The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
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Evaluation of cardiac dynamics by a mathematical law in 16 hours: application to 400 cases
Acta Scientiarum. Health Sciences, 2022 To corroborate the clinical application of an exponential mathematical law based on dynamic systems by reducing its evaluation time to 16 hours through a diagnostic concordance study with respect to the clinical conventional diagnosis. A blind study was
Javier Oswaldo Rodríguez Velásquez +5 more
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Molecular Oncology, EarlyView.We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
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