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Hopf Bifurcation in an Incommensurate Caputo Fractional-Order Computer Virus Epidemic Model with Multiple Time Delays. [PDF]

Entropy (Basel)
Zhong A, Wang C.
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Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]

Sci Rep
Soliman M, Ramadan ME, Alkhatib S, Ahmed HM.   +3 more
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A synthetic pseudopotential benchmark for testing production pseudopotentials and constructing pseudopotentials with chemical accuracy.

Phys Chem Chem Phys
Gulans A, Brakestad A, Jensen SR, Gubler M, Frediani L, Goedecker S.   +5 more
europepmc   +1 more source

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On Periodic Solutions of the Periodic

Results in Mathematics, 1988
By 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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The existence of periodic solutions

1999
Abstract Suppose that the phase diagram for a differential equation contains a single, unstable equilibrium point and a limit cycle surrounding it, as in the case of the van der Pol equation. Then in practice all initial states lead to the periodic oscillation represented by the limit cycle.
D W Jordan, P Smith
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Periodic Solutions of Hamiltonian Systems

SIAM Journal on Mathematical Analysis, 2000
Summary: Two sequences of periodic solutions with large and small norms, respectively, are obtained for Hamiltonian systems of the type \[ -{\mathcal J}\dot{z}=\xi F_z(t,z)+\eta G_z(t,z), \] where \(F\) is superquadratic at \(z=\infty\) and \(G\) is subquadratic at \(z=0\).
Yanheng Ding, Cheng Lee
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Nonexistence of periodic solutions and asymptotically periodic solutions for fractional differential equations

Communications in Nonlinear Science and Numerical Simulation, 2013
Abstract Using the final value theorem of Laplace transform, it is firstly shown that nonhomogeneous fractional Cauchy problem does not have nonzero periodic solution. Secondly, two basic existence and uniqueness results for asymptotically periodic solution of semilinear fractional Cauchy problem in an asymptotically periodic functions space ...
JinRong Wang 0001, Michal Feckan, Yong Zhou 0005   +2 more
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