Results 201 to 210 of about 10,420 (254)

BIFURCATIONS AND CHAOS IN CELLULAR NEURAL NETWORKS

Journal of Circuits, Systems and Computers, 2003
The dynamic behavior of first-order autonomous space invariant cellular neural networks (CNNs) is investigated. It is shown that complex dynamics may occur in very simple CNN structures, described by two-dimensional templates that present only vertical and horizontal couplings.
BIEY, MARIO, CHECCO P, GILLI, MARCO
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BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS

International Journal of Bifurcation and Chaos, 2004
Bonhöffer–van der Pol(BVP) oscillator is a classic model exhibiting typical nonlinear phenomena in the planar autonomous system. This paper gives an analysis of equilibria, periodic solutions, strange attractors of two BVP oscillators coupled by a resister.
Tetsushi Ueta, Hisayo Miyazaki, Takuji Kousaka, Hiroshi Kawakami   +3 more
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Graphics, Bifurcation, Order and Chaos

Computer Graphics Forum, 1987
AbstractChaos theory involves the study of how complicated behaviour can arise in systems which are based on simple rules, and how minute changes in the input of a system can lead to large differences in the output. In this paper, bifurcation maps of the education Xt+1=αλXt [1+Xt] ‐β, where α= 1 or α=e‐Xi, are presented, and they reveal a visually ...
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On Bifurcations Leading to Chaos in Chua's Circuit

International Journal of Bifurcation and Chaos, 1998
Bifurcations and the structure of limit sets are studied for a three-dimensional Chua's circuit system with a cubic nonlinearity. On the base of both computer simulations and theoretical results a model map is proposed which allows one to follow the evolution in the phase space from a simple (Morse-Smale) structure to chaos. It is established that the
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Bistable chaos. II. Bifurcation analysis

Physical Review A, 1992
Results of a bifurcation analysis are given for the model of a Van der Pol--Duffing autonomous electronic oscillator. The oscillator is described by three ordinary differential equations and consists of a RC oscillator resistively coupled to an LC oscillator. The steady-state problem is described by the unfolding of the quartic potential F=1/4${\mathit{
, Gomes, , King
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Bifurcation, Cascades and Chaos

1998
We have introduced the concept of bifurcation when we studied the logistic mapping (8.5). Let us now come back and deeply address this question. Following Ruelle (1994) [156], let us consider a horizontal layer of water heated from below. For small rates of heating we have a conducting regime, and the water remains motionless.
Jacques Octave Dubois, Alexei Gvishiani
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Dynamics, bifurcations and chaos in coupled lasers

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007
Experiments and numerical modelling on two different class B lasers that are subjected to external optical light injection are presented. This presentation includes ways of measuring the changes in the laser output, how to numerically describe the systems and how to construct diagrams of the dynamical states in the plane frequency detuning between ...
Asa Marie, Lindberg, Thomas, Fordell, Simo, Valling   +2 more
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Bifurcations and chaos in the turbo decoding algorithm

Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03., 2003
In this paper, we treat the turbo decoding algorithm as a dynamical system parameterized by a single parameter that closely approximates the signal-to-noise ratio (SNR). A whole range of phenomena known to occur in nonlinear systems, like the existence of multiple fixed points, oscillatory behavior, bifurcations, chaos and transient chaos are found in ...
Zarko Tasev, Ljupco Kocarev, Gian Mario Maggio   +2 more
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Bifurcation and Chaos in Friction-Induced Vibration

Design Engineering, 2002
Friction-induced vibration is a phenomenon that has received extensive study by the dynamics community. This is because of the important industrial relevance and the evere-volving development of new friction models. In this paper, we report the result of bifurcation study of a single-degree-of-freedom mechanical oscillator sliding over a surface.
Li, Yong, Feng, Z. C.
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Sonification of Bifurcation and Chaos

Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007), 2007
In order to understand oscillatory behavior of physical systems it is common to plot the time series data for making figures of oscillation waveform. Oscillations in nonlinear systems, in particular, are often analyzed from the view point of the visualized structures that stand for dynamical characteristics or bifurcation structures.
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