Results 271 to 280 of about 1,007,822 (327)
Multiplicity results of periodic solutions for a coupled system of wave equations
Jiayu Deng, Shuguan Ji
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On periodic solutions of superquadratic Hamiltonian systems
, 2002 Guihua Fei
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Detection of Irregular Loads Using SAW Delay-Line Devices. [PDF]
Sensors (Basel)Yin Y, Zhao Z, You R, Liang Y, Wang W.
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Bifurcation analysis and analytical traveling wave solutions of a sasa-satsuma equation involving beta, M-truncated and conformable derivatives using the EGREM method. [PDF]
Sci RepMunir F +5 more
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Periodic Solutions; Averaging Methods
1999Abstract Consider an equation of the form x εh(x, x) x 0 where ε is small. Such an equation is in a sense close to the simple harmonic equation x x 0, whose phase diagram consists of circles centred on the origin. It should be possible to take advantage of this fact to construct approximate solutions: the phase paths will be nearly ...
D W Jordan, P Smith
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Periodic solutions of periodic Riccati equations
IEEE Transactions on Automatic Control, 1984Summary: For periodically time-varying matrix Riccati equations, controllability and observability (in the usual sense) are shown to be sufficient for the existence of a unique positive definite periodic solution.
BITTANTI, SERGIO +2 more
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On Periodic Solutions of the Periodic
Results in Mathematics, 1988By treating the periodic Riccati equation $${\rm\dot{z}=a(t)z^2+b(t)z+c(t)}$$ as a dynamical system on the sphere S, the number and stability of its periodic solutions are determined. Using properties of Moebius transformations, an exact algebraic relation is obtained between any periodic solution and any complex-valued periodic solution.
K. Y. Guan, J. Gunson, H. S. Hassan
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Almost Periodic Solutions for Limit Periodic Systems
SIAM Journal on Applied Mathematics, 1972A system of ordinary differential equations with limit periodic t-dependence has associated with it a sequence of approximating systems with periodic t-dependence. If each of these approximating systems has a periodic solution, sufficient conditions are given on these solutions under which the original system has an almost periodic solution. Additional
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Breather Solutions in Periodic Media
Communications in Mathematical Physics, 2011The authors consider nonlinear wave equations of the form \[ s(x) u_{tt} = u_{xx} - q(x) u + u^3, \] where \(s(x)\) and \(q(x)\) are \(a\)-periodic real-valued coefficients. They choose these coefficients in such a way that the linear problem, \[ q(x) w(x) - w''(x) - \omega^2 s(x) w(x) = 0, \] has finite spectral gaps near odd multiples of \(\omega_* =
Blank, Carsten +3 more
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