Results 91 to 100 of about 982,799 (263)
Periodic solutions of difference equations
Journal of Mathematical Analysis and Applications, 2003 For the difference equation \(x_{n+1}=\beta x_n- g(x_n)\) with \(\beta> 1\) and \(g(x)= \text{sign\,}x\) for \(x\neq 0\), \(g(0)= 1\), it is shown: For any \(m\in \mathbb{N}_0\) it has a \(2^m\)-periodic solution. If \(\beta^{2^m(2k+1)}- 2\beta^{2^m(2k-1)}\geq 1\) for \(k\in \mathbb{N}\) and some \(m\in\mathbb{N}\) it has a \((2k+1)2^m\)-periodic ...
Yi, Taishan, Zhou, Zhan
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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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Dynamical behaviors of a two-competitive metapopulation system with impulsive control
Advances in Difference Equations, 2017 In this paper, we study the dynamical behaviors of a two-competitive metapopulation system with impulsive control and focus on the stable coexistence of the superior and inferior species.
Shasha Tian, Yepeng Xing, Tao Ma
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Periodic solutions of spatially periodic hamiltonian systems
Journal of Differential Equations, 1992 The existence of periodic solutions for Hamiltonian systems of ordinary differential equations (1) \(\dot z=J(H_ z(z,t)+f(t))\) is studied, where \(H: R^{2n}\times R\to R\) is of class \(C^ 1\) and is \(2\pi\)-periodic with respect to \(t\); \(f: R\to R\) is continuous and \(2\pi\)-periodic and \(J=\bigl({0 \atop I_ n} {-I_ n \atop 0}\bigr)\).
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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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DELAY DIFFERENTIAL EQUATIONS AND THEIR APPLICATION TO MICRO ELECTRO MECHANICAL SYSTEMS [PDF]
, 2018 Delay differential equations have a wide range of applications in engineering. This work is devoted to the analysis of delay Duffing equation, which plays a crucial role in modeling performance on demand Micro Electro Mechanical Systems (MEMS).
Ospanov, Asset
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Dynamic Analysis of a Phytoplankton-Fish Model with Biological and Artificial Control
Discrete Dynamics in Nature and Society, 2014 We investigate a nonlinear model of the interaction between phytoplankton and fish, which uses a pair of semicontinuous systems with biological and artificial control. First, the existence of an order-1 periodic solution to the system is analyzed using a
Yapei Wang +3 more
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Multiple ETS family transcription factors bind mutant p53 via distinct interaction regions
FEBS Letters, EarlyView.Mutant p53 gain‐of‐function is thought to be mediated by interaction with other transcription factors. We identify multiple ETS transcription factors that can bind mutant p53 and found that this interaction can be promoted by a PXXPP motif. ETS proteins that strongly bound mutant p53 were upregulated in ovarian cancer compared to ETS proteins that ...
Stephanie A. Metcalf +6 more
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On some possible extensions of Massera's theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper we consider ordinary and functional differential equations with $T$-periodic right hand side and look at some conjectures on proving the existence of a periodic solution.
Géza Makay
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PERIODIC SOLUTIONS AND SLOW MANIFOLDS [PDF]
International Journal of Bifurcation and Chaos, 2007 After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Pol-equation and a modified logistic equation.
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