Results 151 to 160 of about 32,625 (190)

Chaotic Attractors in Crisis

Physical Review Letters, 1982
The occurrence of sudden qualitative changes of chaotic (or "turbulent") dynamics is discussed and illustrated within the context of the one-dimensional quadratic map. For this case, the chaotic region can suddenly widen or disappear, and the cause and properties of these phenomena are investigated.
Celso Grebogi, Edward Ott, James A. Yorke   +2 more
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NNs Recognize Chaotic Attractors

2013 19th International Conference on Control Systems and Computer Science, 2013
We demonstrate that visual (geometric) patterns can be robustly recognized by an artificial retina composed of a chaotic sensitive system where the coding of the patterns is by attractor features and an artificial neural network is used to classify the attractors. This opens the door to sensorial systems that mimic the biological ones.
Horia-Nicolai L. Teodorescu, Mircea Hulea   +1 more
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Detecting variation in chaotic attractors

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2011
If the output of an experiment is a chaotic signal, it may be useful to detect small changes in the signal, but there are a limited number of ways to compare signals from chaotic systems, and most known methods are not robust in the presence of noise. One may calculate dimension or Lyapunov exponents from the signal, or construct a synchronizing model,
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New Chaotic Attractors and New Chaotic Circuits

International Journal of Advancements in Computing Technology, 2012
A novel two – dimensional chaotic system is introduced. The new system exhibits gallery of new chaotic attractors in numerical simulations. The dynamical of new system is analyzed through equilibrium point structure. The nonlinearity is characterized by tan hyperbolic function. The simple chaotic circuit of the proposed system is presented.
F. Rahma, R. S. Ali, FORTUNA, Luigi, FRASCA, MATTIA   +3 more
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Snap-back repellers and chaotic attractors

Physical Review E, 2010
When homoclinic orbits to an expanding periodic point exist, the point is called a snap-back repeller. Here, we consider the two-dimensional piecewise-linear map in canonical form, continuous and discontinuous, showing how snap-back repellers may be associated with robust chaotic attracting sets (not only with chaotic repellers).
GARDINI LAURA, TRAMONTANA, FABIO
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SYMMETRY BREAKING BIFURCATIONS OF CHAOTIC ATTRACTORS

International Journal of Bifurcation and Chaos, 1995
In an array of coupled oscillators, synchronous chaos may occur in the sense that all the oscillators behave identically although the corresponding motion is chaotic. When a parameter is varied this fully symmetric dynamical state can lose its stability, and the main purpose of this paper is to investigate which type of dynamical behavior is expected ...
Aston, Philip J., Dellnitz, Michael
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Chaotic Attractors with Discrete Planar Symmetries

Chaos, Solitons & Fractals, 1998
In contrast to earlier investigations for determining families of equivariant functions for a few of the discrete symmetry groups in the plane, the authors present a method which allows to create chaotic attractors that are forced to have any of the discrete symmetry groups of the plane. This is based on choosing a family of maps in the plane, randomly
Carter, Nathan C., Eagles, Richard L., Grimes, Stephen M., Hahn, Andrew C., Reiter, Clifford A.   +4 more
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A novel chaotic attractor

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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COEXISTING CHAOTIC ATTRACTORS IN CHUA'S CIRCUIT

International Journal of Bifurcation and Chaos, 1991
In this letter we report the numerical observation of the co-existence of three distinct chaotic attractors for at least one choice of parameters (α = 15.60, β = 28.58, m0 = −1/7, m1 = 2/7) in Chua's circuit. This new phenomenon may have escaped earlier detection because the three attractors are located very close to each other and requires the ...
Lozi, René, Ushiki, Shigehiro
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3D Grid Multi-Wing Chaotic Attractors

International Journal of Bifurcation and Chaos, 2018
As reported in the existing literature, wing attractors are confined to 1D [Formula: see text]-wing attractors, 2D [Formula: see text]-grid wing attractors. In this paper, we break this limitation and generate 3D [Formula: see text]-grid multi-wing chaotic attractors (GMWCAs).
Nan Yu, Yan-Wu Wang, Xiao-Kang Liu, Jiang-Wen Xiao   +3 more
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