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Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions
1980In Chapter IX we determined the conditions under which subharmonic solutions, nT-periodic solutions with integers n ≥1, could bifurcate from forced T-periodic solutions. That is to say, we looked for the conditions under which nonautonomous, T-periodic differential equations give rise to subharmonic solutions when the Floquet exponents at criticality ...
Daniel D. Joseph, Gérard Iooss
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Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation
, 2012Purpose – The purpose of this paper is to apply exp‐function method to construct generalized solitary and periodic solutions of Fitzhugh‐Nagumo equation, which plays a very important role in mathematical physics and engineering sciences.Design ...
S. Mohyud-Din+3 more
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Time-Periodic Solutions to the Full Navier–Stokes–Fourier System
, 2012We consider the full Navier–Stokes–Fourier system describing the motion of a compressible viscous and heat conducting fluid driven by a time-periodic external force.
E. Feireisl+3 more
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Systems & Control: Foundations & Applications, 2012
A periodic solution is a solution (x(t), y(t)) of dx dt = f (x, y) dy dt = g(x, y) such that x(t + T) = x(t) and y(t + T) = y(t) for any t, where T is a fixed number which is a period of the solution.
Ziyang Meng, Tao Yang, K. H. Johansson
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A periodic solution is a solution (x(t), y(t)) of dx dt = f (x, y) dy dt = g(x, y) such that x(t + T) = x(t) and y(t + T) = y(t) for any t, where T is a fixed number which is a period of the solution.
Ziyang Meng, Tao Yang, K. H. Johansson
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Periodic solutions of periodic differential equations
Journal of the Nigerian Association of Mathematical Physics, 2008In this paper we extend the work of Bello [4] where he considered the periodic solutions of certain dynamical systems inside a cylindrical phase space with differential equations of the form yn-1⓫yn-1+...+αn-1y(1) + f(y1..,yn-1,y) = 0 (\'=ddt (+) with the property that there is a ω>0 and a natural number K such that y (t+w) = y(t) + k ...
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The Bifurcation of T-periodic Solutions into nT-periodic Solutions and TORI
1977My lecture on bifurcation and stability of solutions which branch from forced T-periodic solutions is based on the recent work of G. IOOSS and myself [1] and on my forthcoming paper on factorization theorems [2]. In general, forced T-periodic solutions bifurcate into subharmonic solutions with a fixed period τ(τ=nT; n=1,2,3,4) independent of the ...
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Existence Theorems for Periodic Solutions and Almost Periodic Solutions
1975First of all, we shall state some fixed point theorems without proofs. The following theorem is due to Brouwer. For the proof, see [5].
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Periodic solutions of an epidemic model
Journal of Mathematical Biology, 1980The existence of periodic solutions of the equation (see formula in text) is established. This equation arises in the study of the spread of a disease which does not induce permanent immunity.
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Impulsive differential equations: Periodic solutions and applications
at - Automatisierungstechnik, 2015Xiaodi Li, M. Bohner, Chuan-Kui Wang
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IEEE Transactions on Cybernetics, 2017
Wu‐Hua Chen, Shixian Luo, W. Zheng
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Wu‐Hua Chen, Shixian Luo, W. Zheng
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