Results 41 to 50 of about 31,690 (208)

Strong fast invertibility and Lyapunov exponents for linear systems

Electronic Journal of Qualitative Theory of Differential Equations
With the goal of deriving the existence of a dominated splitting, Quas, Thieullen and Zarrabi introduced the concept of strong fast invertibility for linear cocycles in 2019.
Florian Noethen
doaj   +1 more source

Scalable Platform Enabling Reservoir Computing With Nanoporous Oxide Memristors for Image Recognition and Time Series Prediction

Advanced Intelligent Systems, EarlyView.
The approach of physical in materia computing incorporates parallel computing within the medium itself. A scalable and energy‐efficient, oxide‐based computational platform is realized in form of a nanoporous network of volatile niobium oxide memristors sandwiched between top and bottom metallic electrodes, and then tested for prediction and ...
Joshua Donald, Ben A. Johnson, Amir Mehrnejat, Alex Gabbitas, Arthur G. T. Coveney, Alexander G. Balanov, Sergey Savel’ev, Pavel Borisov   +7 more
wiley   +1 more source

A Perron-type theorem for nonautonomous difference equations with nonuniform behavior

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We show that if the Lyapunov exponents of a linear difference equation are limits, then the same happens with the Lyapunov exponents of the solutions of the nonlinear equations for any sufficiently small nonlinear perturbation.
Hailong Zhu, Can Zhang, Yongxin Jiang
doaj   +1 more source

Predictability of large-scale atmospheric motions: Lyapunov exponents and error dynamics

, 2017
The deterministic equations describing the dynamics of the atmosphere (and of the climate system) are known to display the property of sensitivity to initial conditions.
Vannitsem, Stéphane
core   +1 more source

Cellular automata and Lyapunov exponents [PDF]

, 2002
In this article we give a new definition of some analog of Lyapunov exponents for cellular automata . Then for a shift ergodic and cellular automaton invariant probability measure we establish an inequality between the entropy of the automaton, the ...
Blanchard F, Coven E, Coven E M, Denker M, Hedlund G A, P Tisseur, Petersen K, Pollicott M, Ruelle D, Shereshevsky M A, Tisseur P, Walters P, Wolfram S   +12 more
core   +1 more source

Controlling Dynamical Systems Into Unseen Target States Using Machine Learning

Advanced Intelligent Systems, EarlyView.
Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr, Alexander Haluszczynski, Christoph Räth   +2 more
wiley   +1 more source

Lyapunov exponents and phase transition of Hayward AdS black hole

European Physical Journal C: Particles and Fields
In this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS ...
Naba Jyoti Gogoi, Saumen Acharjee, Prabwal Phukon   +2 more
doaj   +1 more source

On the preservation of Lyapunov exponents of integrally separated systems of differential equations under small nonlinear perturbations

Electronic Journal of Qualitative Theory of Differential Equations
This paper addresses the Lyapunov exponents of non-vanishing solutions to quasi-linear time-varying systems of differential equations. The linear part is not required to be regular but it is assumed to be integrally separated, which ensures that the ...
Vu Hoang Linh, Ngo Nga
doaj   +1 more source

Time-reversed symmetry and covariant Lyapunov vectors for simple particle models in and out of thermal equilibrium

, 2010
Recently, a new algorithm for the computation of covariant Lyapunov vectors and of corresponding local Lyapunov exponents has become available. Here we study the properties of these still unfamiliar quantities for a number of simple models, including an ...
A. J. Lichtenberg, Christoph Dellago, H. A. Posch, H. Gunawan, Hadrien Bosetti, Harald A. Posch, P. Gaspard, V. I. Oseledec, V. I. Oseledec, W. H. Press, William G. Hoover, Wm. G. Hoover, Wm. G. Hoover, Y. A. Kuznetsov   +13 more
core   +1 more source

Recurrence, Dimensions, and Lyapunov Exponents

Journal of Statistical Physics, 2002
12 ...
Saussol, B., Troubetzkoy, Serge, Vaienti, S.   +2 more
openaire   +4 more sources