Applicability of the permutation largest slope entropy to strange nonchaotic attractors
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3158-6
Abstract: We extend the permutation largest slope entropy (PLSE) to the detection of strange nonchaotic attractors (SNA). The initial time series derived from a quasi-periodically forced chaotic map is first transformed into a series of symbols… read more here.
Keywords: strange nonchaotic; entropy; slope entropy; largest slope ... See more keywords
Multiple attractors and strange nonchaotic dynamical behavior in a periodically forced system
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06608-8
Abstract: This work investigates the dynamical behaviors of the third-order chaotic oscillator with threshold controller as its nonlinear element. The system reveals several complex dynamics with the presence and absence of external excitation. For a specific… read more here.
Keywords: periodically forced; multiple attractors; strange nonchaotic; attractors strange ... See more keywords
The existence of strange nonchaotic attractors in the quasiperiodically forced Ricker family.
Sign Up to like & getrecommendations! Published in 2020 at "Chaos"
DOI: 10.1063/1.5144145
Abstract: In this paper, the Ricker family (a population model) with quasiperiodic excitation is considered. The existence of strange nonchaotic attractors (SNAs) is analyzed in a co-dimension-2 parameter space by both theoretical and numerical methods. We… read more here.
Keywords: strange nonchaotic; existence; existence strange; nonchaotic attractors ... See more keywords
Strange nonchaotic dynamics in a discrete FitzHugh-Nagumo neuron model with sigmoidal recovery variable.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0089373
Abstract: We report the appearance of strange nonchaotic attractors in a discrete FitzHugh-Nagumo neuron model with discontinuous resetting. The well-known strange nonchaotic attractors appear in quasiperiodically forced continuous-time dynamical systems as well as in a discrete… read more here.
Keywords: nagumo neuron; strange nonchaotic; fitzhugh nagumo; neuron model ... See more keywords
Birth of strange nonchaotic attractors in a piecewise linear oscillator.
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DOI: 10.1063/5.0096959
Abstract: Nonsmooth systems are widely encountered in engineering fields. They have abundant dynamical phenomena, including some results on the complex dynamics in such systems under quasiperiodically forced excitations. In this work, we consider a quasiperiodically forced… read more here.
Keywords: linear oscillator; strange nonchaotic; nonchaotic attractors; birth strange ... See more keywords
Signatures of strange nonchaotic dynamics in a forced quantum system.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.024207
Abstract: Can strange sets arise out of quantum dynamics? We explore this question using the quantum analog of a classical impact oscillator, which consists of a forced spring-mass-damper system, with a wall it may collide against.… read more here.
Keywords: system; strange nonchaotic; dynamics forced; quantum system ... See more keywords