Results 11 to 20 of about 167,440,803 (249)
Basins of attraction for chimera states [PDF]
New Journal of Physics, 2016 Chimera states—curious symmetry-broken states in systems of identical coupled oscillators—typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations.
Erik A Martens +2 more
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Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions
International Journal of Mathematics and Mathematical Sciences, 2020 The dynamical systems of trigonometric functions are explored, with a focus on tz=tanz and the fractal image created by iterating the Newton map, Ftz, of tz.
Kasey Bray +3 more
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The Transition to Chaos of Pendulum Systems
Applied Sciences, 2022 We examine the nonlinear response of two planar pendula under external and kinematic excitations, which are very relevant as paradigmatic models in nonlinear dynamics. These pendula act under the action of an additional constant torque, and are subjected
Grzegorz Litak +2 more
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Multistability of the Vibrating System of a Micro Resonator
Fractal and Fractional, 2022 Multiple attractors and their fractal basins of attraction can lead to the loss of global stability and integrity of Micro Electro Mechanical Systems (MEMS).
Yijun Zhu, Huilin Shang
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Basins of attraction in nonsmooth models of gear rattle [PDF]
, 2008 This paper is concerned with the computation of the basins of attraction of a simple one degree-of-freedom backlash oscillator using cell-to-cell mapping techniques. This analysis is motivated by the modeling of order vibration in geared systems.
Wilson, RE +7 more
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Robust non-computability of dynamical systems and computability of robust dynamical systems [PDF]
Logical Methods in Computer ScienceIn this paper, we examine the relationship between the stability of the dynamical system $x^{\prime}=f(x)$ and the computability of its basins of attraction.
Daniel S. Graça, Ning Zhong
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Basins of attraction for triple logistic maps [PDF]
, 2022 Attractors and the associated basins of attraction for triple logistic maps are detected and visualized numerically (see [8]) as well as by the technique of critical manifolds due to C. Mira (see e.g., [7], [5])
Andres, Jan, Fišer, Jiří
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Complexity, 2021 A neural network is a model of the brain’s cognitive process, with a highly interconnected multiprocessor architecture. The neural network has incredible potential, in the view of these artificial neural networks inherently having good learning ...
Li Cui, Chaoyang Chen, Jie Jin, Fei Yu
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Fractal dimension complexity of gravitation fractals in central place theory
Scientific Reports, 2023 Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry).
Michał Banaszak +3 more
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, 2020 Quantification of the stationary points and the associated basins of attraction of neural network loss surfaces is an important step towards a better understanding of neural network loss surfaces at large.
Helbig, M, Bosman, A, Engelbrecht, AP
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