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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…
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Keywords:
collective chaos;
period doubling;
globally coupled;
chaos ... See more keywords
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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…
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Keywords:
network motif;
period;
period doubling;
biology ... See more keywords
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Published in 2024 at "Chaos"
DOI: 10.1063/5.0231992
Abstract: The nonlinear dynamical behavior in a complex isothermal reaction network involving heterogeneous catalysis is studied. The method first determines the multiple steady states in the reaction network. This is followed by an analysis of bifurcation…
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Keywords:
mixed mode;
period doubling;
reaction network;
network ... See more keywords
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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…
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Keywords:
neimark sacker;
budmoth population;
period doubling;
larch budmoth ... See more keywords
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Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/ae1fbe
Abstract: This paper aims to explore a novel route from the periodic bursting oscillations to the chaotic bursting oscillations in an externally excited memcapacitive system. In particular, these periodic bursting oscillations and chaotic bursting oscillations are…
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Keywords:
bursting oscillations;
bifurcation;
period doubling;
chaos ... See more keywords
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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…
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Keywords:
mixed mode;
chaos;
period;
doubling route ... See more keywords
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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…
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Keywords:
thue morse;
continued fractions;
defined thue;
stieltjes continued ... See more keywords
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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…
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Keywords:
replication period;
doubling route;
impulsive systems;
period doubling ... See more keywords
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Published in 2025 at "Nanophotonics"
DOI: 10.1515/nanoph-2025-0069
Abstract: Abstract Recent studies have demonstrated that a laser can self-generate frequency combs when tuned near an exceptional point (EP), where two cavity modes coalesce. These EP combs induce periodic modulation of the population inversion in…
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Keywords:
frequency combs;
period doubling;
exceptional point;
doubling cascade ... See more keywords