Modern Koopman theory for dynamical systems
SL Brunton, M Budišić, E Kaiser, JN Kutz - ar**/links/0c96052e25cbe55d27000000/Chaotic-vibrations-of-the-Duffing-system-with-fractional-dam**.pdf" data-clk="hl=es&sa=T&oi=gga&ct=gga&cd=3&d=15953580090225354752&ei=Mya2Z-ODDZuoieoP4-_VmAI" data-clk-atid="AGig_ZCAZt0J" target="_blank">[PDF] researchgate.net
Chaotic vibrations of the Duffing system with fractional dam**
We examined the Duffing system with a fractional dam** term. Calculating the basins of
attraction, we demonstrate a broad spectrum of non-linear behaviour connected with …
attraction, we demonstrate a broad spectrum of non-linear behaviour connected with …
An overview of 0–1 test for chaos
1 test for chaos provides a simple method that can be used to detect the occurrence of non-
regular stationary responses of dynamical systems of any sort. Besides the simplicity of its …
regular stationary responses of dynamical systems of any sort. Besides the simplicity of its …
Identification of chaos in a cutting process by the 0–1 test
We have examined the cutting process by using a two degrees of freedom non-smooth
model with a friction component. Instead of the standard Lyapunov exponent treatment a …
model with a friction component. Instead of the standard Lyapunov exponent treatment a …
Double grazing bifurcation route in a quasiperiodically driven piecewise linear oscillator
R Liu, C Grebogi, Y Yue - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
Considering a piecewise linear oscillator with quasiperiodic excitation, we uncover the route
of double grazing bifurcation of quasiperiodic torus to strange nonchaotic attractors (ie …
of double grazing bifurcation of quasiperiodic torus to strange nonchaotic attractors (ie …
Strange nonchaotic attractors in memristor-based Shimizu–Morioka oscillator
P Durairaj, S Kanagaraj, T Kathamuthu… - International Journal of …, 2022 - World Scientific
The existence of strange nonchaotic attractors (SNAs) is examined using a memristor-based
Shimizu–Morioka oscillator. In particular, we analyze the birth of SNAs by varying one of the …
Shimizu–Morioka oscillator. In particular, we analyze the birth of SNAs by varying one of the …
Numerical study on ergodic properties of triangular billiards
We consider the motion of a point particle in right triangular billiards. By considering the
global dynamics (when acute angles are not rationally connected to π), or the discrete …
global dynamics (when acute angles are not rationally connected to π), or the discrete …
Strange nonchaotic attractors in a nonsmooth dynamical system
G Li, Y Yue, J **e, C Grebogi - Communications in Nonlinear Science and …, 2019 - Elsevier
Strange nonchaotic attractors (SNAs) have fractal geometric structure, but are nonchaotic in
the dynamical sense. Since Grebogi et al. discovered SNA in 1984, it has become one of the …
the dynamical sense. Since Grebogi et al. discovered SNA in 1984, it has become one of the …