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Bifurcations and chaos in Hořava–Lifshitz cosmology
Advances in Theoretical and Mathematical Physics, 202293 Pages, 21 ...
Hell, Juliette +2 more
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2022
Abstract We show how bifurcation leads to an end of determinism and thus eventually to chaos. Such models were originally introduced in population studies, and they show how deterministic equations can lead to chaotic behavior. A similar type of behavior was obtained earlier by Fibonacci, whose number sequence led to the golden rule ...
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Abstract We show how bifurcation leads to an end of determinism and thus eventually to chaos. Such models were originally introduced in population studies, and they show how deterministic equations can lead to chaotic behavior. A similar type of behavior was obtained earlier by Fibonacci, whose number sequence led to the golden rule ...
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Bifurcations and Chaos in Duffing Equation
Acta Mathematicae Applicatae Sinica, English Series, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Meng, Yang, Jiangping
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BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS
International Journal of Bifurcation and Chaos, 2010This paper deals with the use of recent computational techniques in the numerical study of qualitative properties of two degrees of freedom of Hamiltonian systems. These numerical methods are based on the computation of the OFLI2 Chaos Indicator, the Crash Test and exit basins and the skeleton of symmetric periodic orbits.
Barrio, R., Blesa, F., Serrano, S.
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Bifurcation, Cascades and Chaos
1998We 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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Poincaré sequences, homoclinic bifurcation, and chaos
1999Abstract Important features can be totally obscured in such a diagram, but Poincare maps can be used to detect underlying structure, such as periodic solutions having the forcing or a subharmonic frequency. In this context the investigation of periodic solutions, nearly periodic solutions, and similar phenomena is to a considerable ...
D W Jordan, P Smith
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Haline Circulation: Bifurcation and Chaos
Journal of Physical Oceanography, 1996Abstract A highly idealized model for the oceanic haline circulation is studied. Specifically, loops filled with salty water and subjected to either the natural boundary condition, the virtual salt flux condition, or salinity relaxation are considered.
Rui Xin Huang, William K. Dewar
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Dynamics, bifurcations and chaos in coupled lasers
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007Experiments 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 +2 more
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Chaos, Bifurcations and Diffusion
2008Complex system theory deals with dynamical systems containing very large numbers of variables. It extends dynamical system theory, which deals with dynamical systems containing a few variables. A good understanding of dynamical systems theory is therefore a prerequisite when studying complex systems.
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Graphics, Bifurcation, Order and Chaos
Computer Graphics Forum, 1987AbstractChaos 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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