Results 11 to 20 of about 170,615 (216)
Synchronization of time-continuous chaotic oscillators [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003 Considering a system of two coupled identical chaotic oscillators, the paper first establishes the conditions of transverse stability for the fully synchronized chaotic state. Periodic orbit threshold theory is applied to determine the bifurcations through which low-periodic orbits embedded in the fully synchronized state lose their transverse ...
Yanchuk, Serhiy +2 more
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Mathematics, 2021 Chaotic oscillators have been designed with embedded systems like field-programmable gate arrays (FPGAs), and applied in different engineering areas.
Omar Guillén-Fernández +2 more
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Analysis of Rattleback Chaotic Oscillations [PDF]
The Scientific World Journal, 2014 Rattleback is a canoe-shaped object, already known from ancient times, exhibiting a nontrivial rotational behaviour. Although its shape looks symmetric, its kinematic behaviour seems to be asymmetric. When spun in one direction it normally rotates, but when it is spun in the other direction it stops rotating and oscillates until it finally starts ...
Michael Hanias +2 more
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Synchronization of oscillators with hyperbolic chaotic phases [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 Topic and aim. Synchronization in populations of coupled oscillators can be characterized with order parameters that describe collective order in ensembles.
Pikovsky, A. S.
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Mathematics, 2021 The execution time that takes to perform numerical simulation of a chaotic oscillator mainly depends on the time-step h. This paper shows that the optimization of chaotic oscillators can be enhanced by estimating the highest h in either one-step or multi-
Martín Alejandro Valencia-Ponce +2 more
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Coupled economic oscillations — synchronization dynamical model [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 Purpose of this work is the research of the dynamical processes and in particular the phenomenon of the synchronization in an ensemble of coupled chaotic economic oscillators. Methods.
Matrosov, Valerij Vladimirovich +1 more
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Spatially organized dynamical states in chemical oscillator networks: synchronization, dynamical differentiation, and chimera patterns. [PDF]
PLoS ONE, 2013 Dynamical processes in many engineered and living systems take place on complex networks of discrete dynamical units. We present laboratory experiments with a networked chemical system of nickel electrodissolution in which synchronization patterns are ...
Mahesh Wickramasinghe, István Z Kiss
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Mathematics, 2022 This paper strives to achieve a comprehensive review of chaos in analog circuits and lumped electronic networks. Readers will be guided from the beginning of the investigations of simple electronic circuits to the current trends in the research into ...
Jiri Petrzela
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Abstract and Applied Analysis, 2013 An algorithm to compute the Lyapunov exponents of piecewise linear function-based multidirectional multiscroll chaotic oscillators is reported. Based on the m regions in the piecewise linear functions, the suggested algorithm determines the individual ...
Jesus Manuel Munoz-Pacheco +3 more
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Stochastic and chaotic relaxation oscillations [PDF]
Journal of Statistical Physics, 1989 For relaxation oscillators stochastic and chaotic dynamics are investigated. The effect of random perturbations upon the period is computed. For an extended system with additional state variables chaotic behavior can be expected. As an example, the Van der Pol oscillator is changed into a third-order system admitting period doubling and chaos in a ...
Grasman, J., Roerdink, J.B.T.M.
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