Hidden strange nonchaotic attractors
MF Danca, N Kuznetsov - Mathematics, 2021 - mdpi.com
In this paper, it is found numerically that the previously found hidden chaotic attractors of the
Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic …
Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic …
Dynamics of a class of Chua's oscillator with a smooth periodic nonlinearity: occurrence of infinitely many attractors
M Zhao, Q Yang, X Zhang - … in Nonlinear Science and Numerical Simulation, 2022 - Elsevier
In this article, a class of Chua's system with smooth periodic nonlinear term is considered.
This kind of systems exhibits strange dynamical behavior. Except for the existence of …
This kind of systems exhibits strange dynamical behavior. Except for the existence of …
Applicability of 0-1 test for strange nonchaotic attractors
We show that the recently introduced 0-1 test can successfully distinguish between strange
nonchaotic attractors (SNAs) and periodic/quasiperiodic/chaotic attractors, by suitably …
nonchaotic attractors (SNAs) and periodic/quasiperiodic/chaotic attractors, by suitably …
Strange nonchaotic dynamics in a discrete FitzHugh–Nagumo neuron model with sigmoidal recovery variable
We report the appearance of strange nonchaotic attractors in a discrete FitzHugh–Nagumo
neuron model with discontinuous resetting. The well-known strange nonchaotic attractors …
neuron model with discontinuous resetting. The well-known strange nonchaotic attractors …
Quasiperiodicity and suppression of multistability in nonlinear dynamical systems
It has been known that noise can suppress multistability by dynamically connecting
coexisting attractors in the system which are otherwise in separate basins of attraction. The …
coexisting attractors in the system which are otherwise in separate basins of attraction. The …
Strange nonchaotic attractors in a nonsmooth dynamical system
G Li, Y Yue, J Xie, 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 …
Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system
Y Yue, P Miao, J Xie - Nonlinear Dynamics, 2017 - Springer
We focus on the coexistence of strange nonchaotic attractors (SNAs) and a novel mixed
attractor in a periodically driven three-degree-of-freedom vibro-impact system with …
attractor in a periodically driven three-degree-of-freedom vibro-impact system with …
Multistability in a quasiperiodically forced piecewise smooth dynamical system
G Li, Y Yue, J Xie, C Grebogi - Communications in Nonlinear Science and …, 2020 - Elsevier
Considering a class of quasiperiodically forced piecewise smooth systems, we uncover a
dynamic phenomenon in which strange nonchaotic attractors (SNAs) and quasiperiodic …
dynamic phenomenon in which strange nonchaotic attractors (SNAs) and quasiperiodic …
Strange nonchaotic attractors for computation
We investigate the response of quasiperiodically driven nonlinear systems exhibiting
strange nonchaotic attractors (SNAs) to deterministic input signals. We show that if one uses …
strange nonchaotic attractors (SNAs) to deterministic input signals. We show that if one uses …
Torus-doubling bifurcations and strange nonchaotic attractors in a vibro-impact system
Y Zhang, G Luo - Journal of Sound and Vibration, 2013 - Elsevier
Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems
other than quasiperiodically driven systems has been an open problem. Here we show that …
other than quasiperiodically driven systems has been an open problem. Here we show that …