منابع مشابه
Stochastic parametrizations and model uncertainty in the Lorenz '96 system.
Simple chaotic systems are useful tools for testing methods for use in numerical weather simulations owing to their transparency and computational cheapness. The Lorenz system was used here; the full system was defined as 'truth', whereas a truncated version was used as a testbed for parametrization schemes. Several stochastic parametrization schemes were investigated, including additive and mu...
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In this paper, we analyze chaotic dynamics of nonlinear systems and study chaos synchronization of Lorenz system. We extend our study by discussing other methods available in literature. We propose a theorem followed by a lemma in general and another one for a particular case of Lorenz system. Numerical simulations are given to verify the proposed theorems.
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The Lorenz system is one of the most widely studied of the many chaotic systems now known, and it is the prototypical example of sensitive dependence on initial conditions (the butterfly effect). For the standard parameters used by Lorenz, there is a single symmetric double-wing chaotic attractor that resembles a butterfly. In this paper, the dynamical behavior of the Lorenz system is examined ...
متن کاملThe Lorenz system
4 Phase analysis 5 4.1 Local Stability at The Origin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4.2 Global Stability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4.2.1 0 < ρ < 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4.2.2 1 < ρ < ρh . . . . . . . . . . . . . . . . . . . ...
متن کاملBifurcation analysis and dynamics of a Lorenz –type dynamical system
./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...
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ژورنال
عنوان ژورنال: Nonlinear Processes in Geophysics
سال: 2012
ISSN: 1607-7946
DOI: 10.5194/npg-19-569-2012