[PDF] Top 20 Transition through resonance in linear and nonlinear systems

... This Thesis is brought to you for free and open access by the Thesis/Dissertation Collections at RIT Scholar Works. It has been accepted for inclusion in Theses by an authorized administrator of RIT Scholar Works. For ... See full document

... a linear dynamic system and an asymptotic nonlinear system, for ...the nonlinear transition process. The nonlinear modulation effects, namely, the modulation of the mean flow and the ... See full document

... weakly nonlinear systems, this broadening is expected to be small since amplitudes are ...the resonance broadening eventually becomes smaller than the frequency mismatches due to the ... See full document

... We do not require any sign conditions on the nonlinear perturbations f and g near the origin. Thus Theorem . and Theorem . apply to both positone and semipositone type right-hand sides of (.) for positive ... See full document

... such systems is obtained by means of variational methods, saddle point theorem, and an index theory for second-order linear Hamiltonian ...: Nonlinear boundary value problems; critical points; saddle ... See full document

... oscillatory systems for which the frequency of eigenoscillation displays an extremum as a function of energy, the dynamics of nonlinear resonance can differ markedly from the conventional ...of ... See full document

... drawn through the tubes out of a large glass tank, in which the tubes were immersed, arrangements being made so that a streak or streaks of highly coloured water entered the tubes with the clear ... See full document

... The method was derived through simulation of simplified social models such as bird flocking, fish schooling and swarming theory in particular. Kennedy and Eberhart invented partical swarm optimization in the mid ... See full document

... treat systems similar to our feedback-interconnected case, but where the Σ 2 subsystem can be viewed as a chain of integrators with added nonlin- earities in a lower-triangular ...of linear Σ 2 subsystems ... See full document

... are nonlinear matrix functions and A, B, C, D, M, N are appropriately dimensioned constant ...the systems in (4) is that the parameter variation enters via the nonlinear functions φφφφ , ϕϕϕϕ which ... See full document

... Adv. Ser. Math. Sci. Eng., vol. 3. World Federation Publisher Company, Atlanta (1995) 16. Agarwal, R., Domoshnitsky, A.: On positivity of several components of solution vector for systems of linear ... See full document

... involving linear time-invariant systems in feed- back with three different types of nonlinearities; a play/stop operator, a switching-reset mechanism, and an adaptive ...arising nonlinear loops show ... See full document

... of transition on various sections of the blade observed in previous work by Zaki et ...the nonlinear development of this optimal perturbation induces Λ structures, which are further stretched to hairpin ... See full document

... 5. ILLUSTRATIVE NUMERICAL EXAMPLES In this section, we illustrate the applicability of the ap- proach presented above through different numerical ex- amples. The results presented in this section were com- puted ... See full document

... –Rosenberg nonlinear normal mode. This nonlinear normal mode θ 2 ðθ 1 Þ passes through the ...This nonlinear normal mode is symmetrical with respect to the origin and this is the consequence ... See full document

... From 1971 to 1987, he occupied different research positions and in 1987 became Professor of Computer Science at BSTU. Since 1990, he has been the Head of the “Control of Complex Systems” Lab of the Institute for ... See full document

... via linear programming. The advantage of using linear programming is that algorithms to solve linear programs, like the simplex algorithm used here, are fast in ...solve linear programs is ... See full document

... controller with steady-state weighting was derived by Millar et. al. (1996), and a heat exchanger application was described. The motivation in the following is to gain the benefits of low-order controllers, including the ... See full document

... switched systems with commuting system matrices are ...for linear switched systems to a class of nonlinear positive switched ...switched systems whose constituent vector fields are ... See full document

... Increase in packing density requires modeling of interconncet to ensure that thermic/electro-magnetic effects do not disturb signal transmission.. Linear systems in micro electronics occ[r] ... See full document