Results 251 to 260 of about 8,126 (293)

Estimating the Hausdorff–Besicovitch dimension of boundary of basin of attraction in helicopter trim

Applied Mathematics and Computation, 2012
Helicopter trim involves solution of nonlinear force equilibrium equations. As in many nonlinear dynamic systems, helicopter trim problem can show chaotic behavior. This chaotic behavior is found in the basin of attraction of the nonlinear trim equations
Saipraneeth Gouravaraju, Ranjan Ganguli   +1 more
exaly   +2 more sources

On the determination of the basin of attraction of discrete dynamical systems

Journal of Difference Equations and Applications, 2007
Consider a discrete dynamical system given by the iteration x(n+1) = g(x(n)) with exponentially asymptotically stable fixed point (x) over bar. In this paper, we seek to study its basin of attraction A((x) over bar) using sublevel sets of Lyapunov ...
Peter Gießl
exaly   +1 more source

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INTERTWINED BASINS OF ATTRACTION

International Journal of Bifurcation and Chaos, 2012
This paper deals with intertwined basins of attraction for dynamical systems in a metric space. After giving a general definition of intertwining property, which is preserved by a topological equivalence between dynamical systems, we present a sufficient condition to guarantee the existence of intertwined basins for dynamical systems in ℝn.
openaire   +3 more sources

Attraction basins in discretized maps

Journal of Physics A: Mathematical and General, 1997
The authors deal with the dynamical behaviour of the discrete maps that are obtained from continuous ones by discretizing the space. Such systems behave as disordered dynamical systems. Dynamical rules are extracted at random, while the discretization prescription the authors present is deterministic.
Bastolla, Ugo, Parisi, Giorgio
openaire   +1 more source

Classifying and quantifying basins of attraction

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015
A scheme is proposed to classify the basins for attractors of dynamical systems in arbitrary dimensions. There are four basic classes depending on their size and extent, and each class can be further quantified to facilitate comparisons. The calculation uses a Monte Carlo method and is applied to numerous common dissipative chaotic maps and flows in ...
J. C. Sprott, Anda Xiong
openaire   +3 more sources

Basins of attraction revisited

1990 IJCNN International Joint Conference on Neural Networks, 1990
A new method is presented for displaying the basins of attraction of memory states of a neural network model. This method provides evidence that these basins of attraction remain mostly regular even as the number of stored states increases. Some effects of the location and number of stored states can be seen intuitively in the results of these graphs ...
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ATTRACTION BASIN OF BIDIRECTIONAL ASSOCIATIVE MEMORIES

International Journal of Neural Systems, 1996
In this paper, we investigate the attraction basin of the bidirectional associative memory (BAM) model. The BAM is a two-layer heteroassociator that stores a prescribed set of bipolar library pairs. It consists of two layers of neurons. One layer has n neurons and the other has p neurons.
Chi-Sing Leung, Lai-Wan Chan, John Sum
openaire   +3 more sources

Synaptic depression enlarges basin of attraction

Neurocomputing, 2005
Neurophysiological experiments show that synaptic depression controls a gain for presynaptic inputs. However, the functional roles of this gain control remain unknown. We propose that one of the functional roles is to enlarge basins of attraction. To verify this, we employ an associative memory model.
Narihisa Matsumoto, Daisuke Ide, Masataka Watanabe, Masato Okada   +3 more
openaire   +2 more sources

Basins of attraction in driven dynamical systems

Physical Review A, 1989
The organization of multiple coexisting basins of attraction in two-dimensional driven dynamical systems is studied. This study is carried out, in particular, for the laser with modulated parameter and the H\'enon map. Basin organization is governed primarily by the ordering of heteroclinic and homoclinic connections of regular saddles.
, Eschenazi, , Solari, , Gilmore
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Basins of Attraction in Experimental Nonlinear Oscillators

International Journal of Bifurcation and Chaos, 1998
This paper addresses two relatively simple but fundamental questions in nonlinear oscillations: Given an arbitrary initial condition where will the trajectory go, and how long will it take to get there? These related questions are addressed from an experimental perspective where generating global transient behavior has received relatively little ...
Virgin, L. N., Todd, M. D., Begley, C. J., Trickey, S. T., Dowell, E. H.   +4 more
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