Results 231 to 240 of about 117,097 (258)

Impact of the parametric noise on map-based dynamical systems

AIP Conference Proceedings, 2018
Discrete-time nonlinear dynamical systems with general parametric stochastic disturbances are considered. For such systems, a problem of the probabilistic analysis of the random states dispersion around attractors is studied. For the constructive approximation of probabilistic distributions, the method of the stochastic sensitivity is developed. Matrix
I. Bashkirtseva, I. Tsvetkov
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Noise-aided control of chaotic dynamics in a logistic map

Physical Review E, 2000
Controlling chaos involves employing small perturbations to a control parameter, resulting in the stabilization of the system (naturally chaotic) on one of the infinite unstable periodic orbits embedded in the chaotic attractor. In this Brief Report we study the constructive role of external noise in increasing the efficiency of controlling chaos ...
, Escalona, , Parmananda
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A discrete map for the dynamics of recurrent excitatory neural networks in the presence of noise

Biosystems, 1998
We investigate the effect of the neuron characteristics on the behavior of a recurrent excitatory neural network model. First, we present the different types of dynamics obtained with simulations of a network of coupled excitatory spike-response neuron models placed under the influence of noise. Then, we derive a discrete map describing the dynamics of
J, Pham, K, Pakdaman, J F, Vibert
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Dynamical Systems Described by Discrete Maps with Noise

1981
Since this contribution is one of the first in this volume and this conference is a truly interdisciplinary one, it might be useful to begin with a few general comments before entering the more technical part of our contribution.
H. Haken, A. Wunderlin
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Mapping noise disturbed oscillators onto quasi-symplectic dynamics

2013 22nd International Conference on Noise and Fluctuations (ICNF), 2013
We find exact mappings for a class of limit cycle systems with noise onto quasi-symplectic dynamics, including a van der Pol type oscillator. A dual role potential function is obtained as a component of the quasi-symplectic dynamics. Each component of the quasi-symplectic dynamics has an individual physical meaning and can be measured independently ...
Ruoshi Yuan, Ping Ao
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The Simulation of Noise Impact on the Dynamics of a Discrete Chaotic Map

2020
There is no clear understanding of the way how a noise influence on nonlinear dynamical systems with chaotic behaviour. Due to difficulties with analysis of real-world chaotic oscillators computer simulation is preferable. However, during the process of simulation, a noise presents too.
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Influence of dynamical noise on time series generated by nonlinear maps

Physica D: Nonlinear Phenomena, 2008
Consider the dynamical noise called ``pseudonoise'' corrupting a time series generated by a discrete iterated function system (map). Especially, the discrete maps \[ x_{n+1} = f(x_n) \] modified by the two types of maps \[ y_{n+1} = f(y_n) + \eta_n \] or \[ z_{n+1} = f(z_n+\eta_n) \] with noise terms \(\eta_n\) are under consideration.
Strumik, Marek, Macek, Wiesław M.
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Dynamics of the boundary map of a system with spherical noise

Theoretical and Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pochinka, O. V., Yagilev, A. A.
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DYNAMIC NOISE MAPPING IN THE CITY OF GDANSK

8th European Conference on Noise Control 2009, 2023
M SZCZODRAK, J KOTUS, A CZYZEWSKI
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Symbolic dynamics of one-dimensional maps: Entropies, finite precision, and noise

International Journal of Theoretical Physics, 1982
In the study of nonlinear physical systems, one encounters apparently random or chaotic behavior, although the systems may be completely deterministic. Applying techniques from symbolic dynamics to maps of the interval, we compute two measures of chaotic behavior commonly employed in dynamical systems theory: the topological and metric entropies.
Crutchfield, J. P., Packard, N. H.
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