Results 21 to 30 of about 37,065 (229)
Maximal Lyapunov exponent at crises [PDF]
Physical Review E, 1996 We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behaviour, showing abrupt variation as a function of the control parameter as the system passes through the crisis point, either in the value itself, in the case of the attractor ...
Mehra, Vishal, Ramaswamy, Ramakrishna
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Exact Solution of selfconsistent Vlasov equation [PDF]
, 1997 An analytical solution of the selfconsistent Vlasov equation is presented. The time evolution is entirely determined by the initial distribution function. The largest Lyapunov exponent is calculated analytically.
Morawetz, K.
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Investigation of chaos in a polydyne cam with flat-faced follower mechanism
Journal of King Saud University: Engineering Sciences, 2021 In this paper, the chaotic analysis is predicted based on the non-periodic motion of the follower. Non-periodic motion of the follower has been investigated by using the conception of Lyapunov exponent parameter.
Louay S. Yousuf
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The problem of the inverse Lyapunov exponent and its applications
Nonlinear Analysis, 2018 The problem of the inverse Lyapunov exponent was formulated and solved, involving to find such chaotic transformation for which the value of the Lyapunov exponent is given in advance.
Marcin Lawnik
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Chaotic time series analysis of meteorological parameters in some selected stations in Nigeria
Scientific African, 2020 One of the primary responsibilities of any meteorological and hydrological services is to provide information on weather warnings and forecasts to the general public for necessary precaution and prevention. This necessitated a better understanding of the
A.T. Adewole +3 more
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Gottwald Melborune (0–1) test for chaos in a plasma [PDF]
Nonlinear Processes in Geophysics, 2012 Plasma is a highly complex system exhibiting a rich variety of nonlinear dynamical phenomena. In the last two decades or so there has been a spurt of growth in exploring unconventional nonlinear dynamical methods of analysis, like chaos theory, multi ...
D. R. Chowdhury +2 more
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The asymptotic behavior of a dynamical process coming from the development in continuous fractions [PDF]
ITM Web of Conferences, 2020 The aim of this paper is the study of a dynamical process generated by a sequence of maps: xn+1=fnxn$${x_{n + 1}} = {f_n}\left( {{x_n}} \right)$$ where fn : 0,∞ →0,∞, fn x = cn1+x for all n ∈ N and cnn$${f_n}{\rm{ : }}\left( {0,\infty } \right){\rm{ }} \
Bucur Maria-Liliana +1 more
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Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression
Advances in Civil Engineering, 2019 Chaos theory is advantageous in achieving a deeper understanding of the nonlinearity and randomness of concrete behavior. In this study, the experimental data of concrete under compression were examined and discussed using Lyapunov exponent. According to
Yuhu Quan, Xu Yang
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Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces
, 2016 Dynamics of driven dissipative Frenkel-Kontorova model is examined by using largest Lyapunov exponent computational technique. Obtained results show that besides the usual way where behavior of the system in the presence of external forces is studied by ...
Hrvojevic, Milica Pavkov +4 more
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Synchronization of Random Linear Maps
, 2003 We study synchronization of random one-dimensional linear maps for which the Lyapunov exponent can be calculated exactly. Certain aspects of the dynamics of these maps are explained using their relation with a random walk.
Adam Lipowski +24 more
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