[HTML][HTML] Determining Lyapunov exponents of non-smooth systems: Perturbation vectors approach
M Balcerzak, A Dabrowski… - … Systems and Signal …, 2020 - Elsevier
This paper presents a novel, simple method of Lyapunov Exponents (LEs) spectrum
estimation for non-smooth and discontinuous systems. The presented algorithm works for …
estimation for non-smooth and discontinuous systems. The presented algorithm works for …
Stability of the 3-torus solution in a ring of coupled Duffing oscillators
L Borkowski, A Stefanski - The European Physical Journal Special Topics, 2020 - Springer
The dynamics of the ring of unidirectionally coupled single-well Duffing oscillators is
analyzed in numerical simulation for identical nodal oscillators. The research is …
analyzed in numerical simulation for identical nodal oscillators. The research is …
Spectrum of Lyapunov exponents in non-smooth systems evaluated using orthogonal perturbation vectors
M Balcerzak, A Dąbrowski… - MATEC Web of …, 2018 - matec-conferences.org
This paper covers application of the novel method of Lyapunov exponents (LEs) spectrum
estimation in non smooth mechanical systems. In the presented method, LEs are obtained …
estimation in non smooth mechanical systems. In the presented method, LEs are obtained …
Emergence of global synchronization in directed excitatory networks of type I neurons
The collective behaviour of neural networks depends on the cellular and synaptic properties
of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure …
of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure …
DCNN oscillator design, implementation, and performance evaluation.
TA Salih, EA Mohammed… - Przeglad …, 2023 - search.ebscohost.com
FPAAs technology are the ideal solution for creating an analog system. FPAA describes and
implements the architecture of a simple CNN model used to build a delayed cellular neural …
implements the architecture of a simple CNN model used to build a delayed cellular neural …
Fast and simple Lyapunov Exponents estimation in discontinuous systems
M Balcerzak, T Sagan, A Dabrowski… - The European Physical …, 2020 - Springer
Typically, to estimate the whole spectrum of n Lyapunov Exponents (LEs), it is necessary to
integrate n perturbations and to orthogonalize them. Recently it has been shown that …
integrate n perturbations and to orthogonalize them. Recently it has been shown that …
Backstepping and Sliding Mode Control of a Fractional-Order Chaotic System
Fractional-order systems can come across in chemical processes, biological systems,
viscoelastic systems, propagation of electromagnetic waves and electrochemical systems. In …
viscoelastic systems, propagation of electromagnetic waves and electrochemical systems. In …
[PDF][PDF] Phase model
A Ziaeemehr, M Zarei, A Sheshbolouki - researchgate.net
In this section, we study the stability of the feedback and feedforward loops constructed from
the identical type I or type II phase oscillators. We consider the reduced two-dimensional …
the identical type I or type II phase oscillators. We consider the reduced two-dimensional …