Results 11 to 20 of about 183,557 (259)
Periodic Solutions of a Periodic FitzHugh–Nagumo System [PDF]
International Journal of Bifurcation and Chaos, 2015 Recently some interest has appeared for the periodic FitzHugh–Nagumo differential systems. Here, we provide sufficient conditions for the existence of periodic solutions in such differential systems.
Jaume Llibre, Claudio Vidal
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ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS [PDF]
International Journal of Bifurcation and Chaos, 2013 We study the existence of periodic solutions of the nonautonomous periodic Lyness' recurrenceun+2 = (an + un+1)/un, where {an}n is a cycle with positive values a, b and with positive initial conditions. It is known that for a = b = 1 all the sequences generated by this recurrence are 5-periodic.
Bastien, Guy +2 more
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Simulation of a photosynthesis
Lietuvos Matematikos Rinkinys, 2004 It is observed the differential equations system. The stable periodic solutions of the differential equations system of neutral type is constructed, which is based on the theory of bifurcations.
Marina Grabovskaja, Donatas Švitra
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Discontinuous bifurcations of periodic solutions
Mathematical and Computer Modelling, 2002 The authors discuss some aspects of bifurcations of periodic solutions in systems with a discontinuous vector field. Using the example \[ m\ddot x+C(\dot x) + K(x) = f_0\sin(\omega t), \] the authors demonstrate, under certain assumptions on the functions \(K(x)\) and \(C(\dot x)\), how the Floquet multipliers of a discontinuous system can jump when ...
Leine, R.I., Campen, van, D.H.
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A note on periodic solutions of functional differential equations
International Journal of Mathematics and Mathematical Sciences, 1985 The existence of periodic solution for a certain functional differential equation with quasibounded nonlinearity is established.
S. H. Chang
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Dynamic Complexity in a Prey-Predator Model with State-Dependent Impulsive Control Strategy
Complexity, 2020 In this paper, an ecological model described by a couple of state-dependent impulsive equations is studied analytically and numerically. The theoretical analysis suggests that there exists a semitrivial periodic solution under some conditions and it is ...
Chuanjun Dai
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The Periodic Solution of Fractional Oscillation Equation with Periodic Input
Advances in Mathematical Physics, 2013 The periodic solution of fractional oscillation equation with periodic input is considered in this work. The fractional derivative operator is taken as -∞Dtα, where the initial time is -∞; hence, initial conditions are not needed in the model of the ...
Jun-Sheng Duan
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Global behavior of a rational difference equation with quadratic term [PDF]
Mathematica Moravica, 2014 In this paper, we determine the forbidden set, introduce an explicit formula for the solutions and discuss the global behavior of all solutions of the difference equation Xn+1 = aXnXn-1 bXn - CXn-2, n = 0, 1, … where a, b, c are positive real numbers and
Abo-Zeid R.
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Anti-periodic solution for fuzzy differential equations
上海师范大学学报. 自然科学版, 2021 In this paper, using differential inclusions’ approach, we obtain existence results of antiperiodic solutions for a class of fuzzy differential equations. An example shows the feasibility of the main results.
ZHU Shumin, WANG Qi
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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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