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 …

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 …

Applicability of 0-1 test for strange nonchaotic attractors

R Gopal, A Venkatesan, M Lakshmanan - Chaos: An Interdisciplinary …, 2013 - pubs.aip.org
We show that the recently introduced 0-1 test can successfully distinguish between strange
nonchaotic attractors (SNAs) and periodic/quasiperiodic/chaotic attractors, by suitably …

Strange nonchaotic dynamics in a discrete FitzHugh–Nagumo neuron model with sigmoidal recovery variable

S Kumarasamy, A Srinivasan, M Ramasamy… - … Journal of Nonlinear …, 2022 - pubs.aip.org
We report the appearance of strange nonchaotic attractors in a discrete FitzHugh–Nagumo
neuron model with discontinuous resetting. The well-known strange nonchaotic attractors …

Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

YC Lai, C Grebogi - The European Physical Journal Special Topics, 2017 - Springer
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 …

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 …

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 …

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 …

Strange nonchaotic attractors for computation

M Sathish Aravindh, A Venkatesan, M Lakshmanan - Physical Review E, 2018 - APS
We investigate the response of quasiperiodically driven nonlinear systems exhibiting
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 …