Inertial manifolds and limit cycles of dynamical systems in ${\mathbb R}^{n}$
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We show that the presence of a two-dimensional inertial manifold for an ordinary differential equation in ${\mathbb R}^{n}$ permits reducing the problem of determining asymptotically orbitally stable limit cycles to the Poincaré–Bendixson theory.
Liudmila Kondratieva, Aleksandr Romanov
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Effects of Stochastic Noises on Limit-Cycle Oscillations and Power Losses in Fusion Plasmas and Information Geometry. [PDF]
Entropy (Basel), 2023 Hollerbach R, Kim EJ.
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Local inhibitory networks support up to
, 2021 Ashok Chauhan +2 more
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Function‐driven design of a surrogate interleukin‐2 receptor ligand
FEBS Letters, EarlyView.Interleukin (IL)‐2 signaling can be achieved and precisely fine‐tuned through the affinity, distance, and orientation of the heterodimeric receptors with their ligands. We designed a biased IL‐2 surrogate ligand that selectively promotes effector T and natural killer cell activation and differentiation. Interleukin (IL) receptors play a pivotal role in
Ziwei Tang +9 more
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Synchronization of Coupled Limit Cycles [PDF]
Journal of Nonlinear Science, 2011 Journal of Nonlinear Science ...
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Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
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Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation. [PDF]
SIAM J Appl Dyn Syst, 2021 Wang Y, Gill JP, Chiel HJ, Thomas PJ.
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Limit Cycles Close to Infinity of Certain Non-Linear Differential Equations [PDF]
, 1990 Victor Guíñez +2 more
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The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
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Stability Analysis of Limit Cycles on Continuous-time Cyclic Connection Neural Networks [PDF]
, 2006 Cheol-Young Park
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