Collective chaos and period-doubling bifurcation in globally coupled phase oscillators
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3585-z
Abstract: Collective chaos has been intensively investigated in globally coupled map and oscillators in which the single unit is capable of producing chaos. In this work, we study collective chaos in globally coupled phase oscillators. We… read more here.
Keywords: collective chaos; period doubling; globally coupled; chaos ... See more keywords
A Robust Molecular Network Motif for Period-Doubling Devices.
Sign Up to like & getrecommendations! Published in 2018 at "ACS synthetic biology"
DOI: 10.1021/acssynbio.7b00222
Abstract: Life is sustained by a variety of cyclic processes such as cell division, muscle contraction, and neuron firing. The periodic signals powering these processes often direct a variety of other downstream systems, which operate at… read more here.
Keywords: network motif; period; period doubling; biology ... See more keywords
Period-doubling and Neimark–Sacker bifurcations in a larch budmoth population model
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2017.1354989
Abstract: We investigate a discrete consumer-resource system based on a model originally proposed for studying the cyclic dynamics of the larch budmoth population in the Swiss Alps. It is shown that the moth population can persist… read more here.
Keywords: neimark sacker; budmoth population; period doubling; larch budmoth ... See more keywords
Period-doubling route to mixed-mode chaos.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.024211
Abstract: Mixed-mode oscillations (MMOs) are a complex dynamical behavior in which each cycle of oscillation consists of one or more large amplitude spikes followed by one or more small amplitude peaks. MMOs typically undergo period-adding bifurcations… read more here.
Keywords: mixed mode; chaos; period; doubling route ... See more keywords
On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Number Theory"
DOI: 10.1142/s1793042120501134
Abstract: Continued fraction expansions of automatic numbers have been extensively studied during the last few decades. The research interests are, on one hand, in the degree or automaticity of the partial quotients following the seminal paper… read more here.
Keywords: thue morse; continued fractions; defined thue; stieltjes continued ... See more keywords
Replication of period-doubling route to chaos in impulsive systems
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2019.1.58
Abstract: In this study, we investigate the dynamics of impulsive systems driven by a chaotic system. It is shown that the response impulsive system replicates the sensitivity and the period-doubling cascade of the drive. Illustrative examples… read more here.
Keywords: replication period; doubling route; impulsive systems; period doubling ... See more keywords