... GAL system of K lactis and to obtain a systems’ level understanding of its behavior The steady- state model for the GAL system of K lactis was validated experimentally by obtaining steady- state ... to compare the steady- state performances of the GAL systems of the two organisms The steady- state modeling strategy discussed above was used to compare the performance of the GAL systems in both ... the GAL system to function normally, the autoregulation of KlGAL80 is essential if KlGAL1 is autoregulated Steady- state model response for a K lactis mutant strain lacking GAL80 The steady- state...
... solution; variational functional; critical point; subquadratic second- order discrete system Introduction The theory of nonlinear discrete systems has widely been used to study discrete models appearing ... Motions in Dynamical Systems Princeton University Press, Princeton (1973) [10] Hofer, H, Wysocki, K: First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems Math Ann ... Homoclinic solutions of some second- order non-periodic discrete systems Yuhua Long College of Mathematics and Information Sciences, Guangzhou...
... solution; variational functional; critical point; subquadratic second- order discrete system Introduction The theory of nonlinear discrete systems has widely been used to study discrete models appearing ... Motions in Dynamical Systems Princeton University Press, Princeton (1973) [10] Hofer, H, Wysocki, K: First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems Math Ann ... Homoclinic solutions of some second- order non-periodic discrete systems Yuhua Long College of Mathematics and Information Sciences, Guangzhou...
... Motions in Dynamical Systems Princeton University Press, Princeton (1973) 10 Hofer, H, Wysocki, K: First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems Math Ann ... corresponding continuous system (1.2) On the other hand, (1.1) does have its applicable setting as evidenced by monographs [14,15], as mentioned in which when A = 0, (1.1) becomes the second- order self-adjoint ... of discrete Hamiltonian systems Dissertation for doctor degree College of Mathematics and Econometrics, Changsha (2006) 17 Ma, MJ, Guo, ZM: Homoclinic orbits for secondorder self-adjoint difference...
... homoclinic orbits for a second- order Hamiltonian system Comput Math Appl 62, 131–141 (2011) Izydorek, M, Janczewska, J: Homoclinic solutions for a class of the secondorder Hamiltonian systems J Differ ... clear that system (1.1) is a discretization of the following second differential system d ˙ (|˙ (t)|p−2 u(t)) = ∇F(t, u(t)) + f (t), u dt t ∈ R, u ∈ RN (1:2) Recently, the following secondorder ... of nonlinear secondorder difference equations Adv Differ Equ 2005, 173–192 (2005) Tang, XH, Lin, XY, Xiao, L: Homoclinic solutions for a class of secondorder discrete Hamiltonian systems J Differ...
... reduction subsystem The additional amount of attenuation shall be exactly the steady- state attenuation of the noise reduction subsystem to pass the test of correct superposition of both subsystems ... enters the system under test and another one, y, is its output signal For systems with analog transducers like hearing instruments, the signals x and y have to be interfaced to the system under ... native format of the given test system is a digital waveform, we describe signals in discrete time All stated sampling rates refer to the test system, not to the system under test Let B be the...
... http://jwcn.eurasipjournals.com/content/2011/1/151 about the second- order statistics of various diversity systems can be easily found in the literature [13-15] Secondorder statistics analysis of macro-diversity system operating over ... 2) exp − exp − (10) 01 02 Second- order statistics Second- order statistical quantities complement the static probabilistic description of the fading signal (the firstorder statistics), and have ... macro-diversity system of SC type which consists of two micro-diversity systems with switching between the base stations based on their output signal power values Each micro-diversity system is of...
... doi:10.1186/1687-2770-2011-33 Cite this article as: Zhang et al.: Infinitely many periodic solutions for some second- order differential systems with p(t)-Laplacian Boundary Value Problems 2011 2011:33 Submit your manuscript ... satisfied Then by Theorem 1,p(t) 3.1, system (1.1) has infinite solutions {uk} in WT for every positive integer k such that ||uk||∞ ® +∞, as k ® ∞ Example 4.2 In system (1.1), let F(t, x) = |x|8 and ... Then by Theorem 3.2, so system (1.1) We choose β = 1,p(t) has infinite solutions {uk} in WT for every positive integer k such that ||uk||∞ ® +∞, as k ® ∞ Example 4.3 In system (1.1), let F(t,...
... nonautonomous secondorder systems with sublinear nonlinearity Proc Amer Math Soc 126, 3263–3270 (1998) doi:10.1090/S0002-9939-98-04706-6 Tang, CL, Wu, XP: Periodic solutions for secondorder systems ... non-autonomous second- order systems with linear nonlinearity Nonlinear Anal 60, 325–335 (2005) 12 Wang, Z, Zhang, J: Periodic solutions of a class of secondorder non-autonomous Hamiltonian systems Nonlinear ... of a second- order Hamiltonian with periodic boundary conditions Comm Pure Appl Anal 9, 1053–1067 (2010) 14 Wang, Z, Zhang, J: Periodic solutions of non-autonomous secondorder Hamiltonian systems...
... first one is to find an equivalent system, which has a nearly integrable form of a reversible system The second one is to show that Pincar´ map of the e equivalent system satisfies some twist theorem ... that the differential system 1.9 still has a reversible structure After some transformations, we change the systems 1.9 to a form of small perturbation of integrable reversible system Then a KAM ... definitions of reversible system Let Ω ⊂ Ên be an open domain, and Z Z z, t : Ω × Ê → Ên be continuous Suppose G : Ên → Ên is an involution i.e., G is a C1 Ω The differential equations system diffeomorphism...
... J which satisfies P Recently, several works have been devoted to the study of second- order impulsive differential systems See, for example 1–6 , and references therein In Particular, E.K Lee and ... for problem P with two-point boundary condition Let us consider the following second- order impulsive differential systems u t λh1 t f u t , v t 0, t ∈ 0, , t / t1 , v t μh2 t g u t , v t 0, t ... References S C Hu and V Lakshmikantham, “Periodic boundary value problems for secondorder impulsive differential systems,” Nonlinear Analysis: Theory, Methods & Applications, vol 13, no 1, pp...
... periods [14] The described procedure requires a steady- state condition of the system under test Therefore all measurements described here are steady- state measurements 3.2 Subband Measurements with ... five seconds of the test run in order to observe the steadystate condition The result of this measurement is shown in Figure 3: the shown frequency response indicates that the noise reduction system ... been mentioned in Section 3.2: instead of comparing the output and input signal of the system, we compared the output signal from the second experiment with the one from the first experiment This...
... truncation system Finally, we show the main result proving that, for n sufficiently large, the solutions of the truncation system are solutions of system 1.1 Observe that, in general, this system ... considering a truncation system Note that if g1 , g2 are bounded, we would not need to use that system Hypothesis H4 allows us to have a control on the nonlinear operator in system 1.1 We remark ... truncation system In Section 6, we prove the main result, that is, we show the existence of a solution of system 1.1 Finally, in Section we give some remarks A priori bounds for a truncation system...
... truncation system Finally, we show the main result proving that, for n sufficiently large, the solutions of the truncation system are solutions of system 1.1 Observe that, in general, this system ... considering a truncation system Note that if g1 , g2 are bounded, we would not need to use that system Hypothesis H4 allows us to have a control on the nonlinear operator in system 1.1 We remark ... truncation system In Section 6, we prove the main result, that is, we show the existence of a solution of system 1.1 Finally, in Section we give some remarks A priori bounds for a truncation system...
... non-autonomous secondorder systems with γ-quasisubadditive potential, Journal of Mathematical Analysis and Applications 189 (1995), no 3, 671–675 , Periodic solutions for nonautonomous secondorder systems ... subquadratic secondorder Hamiltonian [14] systems, Journal of Mathematical Analysis and Applications 275 (2002), no 2, 870–882 , Notes on periodic solutions of subquadratic secondorder systems, ... I ∇x V t,x(k) (t) · x(k) (t)dt − r2 → ρk (2.20) (2.21) Periodic solutions of second- order nonautonomous dynamical systems Hence, by (1.9), I Hμ t,x(k) (t) dt μ − → − r2 2 ρk (2.22) Note that...
... perturbations of a coupled system of steadystate suspension bridge equations, Nonlinear Anal 51 (2002), no 7, 1285–1292 Y An and X Fan, On the coupled systems of second and fourth order elliptic equations, ... for systems of asymptotically linear secondorder equations, Adv Nonlinear Stud (2002), no 4, 325–356 A Capietto and W Dambrosio, A topological degree approach to sublinear systems of secondorder ... for n × n systems? 150 Multiple solutions of asymmetric weakly coupled systems (3) Can one obtain corresponding results if the second- order differential operator is replaced with a fourth -order differential...
... http://arthritis-research.com/content/13/2/401 Page of Table Inclusion characteristics (of the 26 systemic lupus erythematosus patients) and their ability to predict clinical outcome (univariate ... 10.2 (6.3-15) 18.7 (11.5-47.2) 0.02 Values are expressed as median (interquartile range) unless stated otherwise aMann-Whitney U test; bFisher exact test AUC0-12 h, area under the plasma concentration-versus-time ... MMF, mycophenolate mofetil; MPA, mycophenolic acid; MPAG, mycophenolic acid glucuronide; SLEDAI, Systemic Lupus Erythematosus Disease Activity Index; Tmax, time to maximal concentration ...
... ptotic method for investigation of m u i t if r e q u e n c y oscillations of q u a silin e a r systems of second o r d e r NGUYEN Institute VAN of DAO m ech a n ics NGUYEN VAN DỈNII p o 1V! e f h ... (Ẹ 4- ’) + C0] ■ (K' + T ) d d , II ill)) Ill - SYSTEM W IT H S E V E R A L D E G K K E S OF FR E ED O M Co nsider the ]'ollo\vintỊ equations oi second o;-(k“ : r X —“ X Ị XI :liJ {':> cii Ị + ... Ngu ven V a n Đao, Nguven Van Đinh, A sv m p lo íic method fo r tho q u a s ilin c a r system s or sccond order P roceedings of Hanoi P olvlechnical I n s i i i u l c X 1975 1>H310MH ACMWilTOTHqECKHH...
... frequency of the steady- state oscillation The abovementioned frequency-domain methods were developed to analyze relay feedback systems and cannot be used directly for the analysis of 2-SMC systems In ... μ-neighborhood of the secondorder sliding set s1 = s2 = 0, defined as Oμ ≡ (s1 , s2 ) : |s1 | ≤ ρ1 μ2 , |s2 | ≤ ρ2 μ (29) attracts in finite time the system trajectories Theorem Consider system (9)-(11), ... [sec] Fig The steady- state evolution of s1 and s2 Poincar´ Map Analysis e We are going to derive conditions for the existence of stable periodic motions, in the vicinity Oμ of the secondorder sliding...
... definitions of secondorder approximability of (1) within N0 Both secondorder approximability properties identify second Regularization of SecondOrder Sliding Mode Control Systems order sliding ... secondorder ideal system (8) by R using two different terms The first, denoted by bε = bε (t) ∈ I M , takes into account secondorder sliding non-idealities, so that in the real secondordersystem ... definitions, first order approximability still implies both secondorder corresponding properties The same proof (see [24]) shows that secondorder real states of (1) are also first order real states The...