An Explicit Periodic Solution of a Delay Differential Equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9681-z
Abstract: In this paper we prove that the following delay differential equation $$\begin{aligned} \frac{d}{dt}x(t)=rx(t)\left( 1-\int _{0}^{1}x(t-s)ds\right) , \end{aligned}$$ d dt x ( t ) = r x ( t ) 1 - ∫ 0 1 x… read more here.
Keywords: delay differential; differential equation; solution; periodic solution ... See more keywords
Floquet Multipliers of a Periodic Solution Under State-Dependent Delay
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DOI: 10.1007/s10884-020-09896-7
Abstract: We consider a periodic function $$p:{\mathbb {R}}\rightarrow {\mathbb {R}}$$ of minimal period 4 which satisfies a family of delay differential equations 0.1 $$\begin{aligned} x'(t)=g(x(t-d_{\Delta }(x_t))),\quad \Delta \in {\mathbb {R}}, \end{aligned}$$ with a continuously differentiable function… read more here.
Keywords: periodic solution; delta delta; delta; mathbb ... See more keywords
Pseudo-Almost Periodic Solution on Time-Space Scales for a Novel Class of Competitive Neutral-Type Neural Networks with Mixed Time-Varying Delays and Leakage Delays
Sign Up to like & getrecommendations! Published in 2017 at "Neural Processing Letters"
DOI: 10.1007/s11063-017-9620-8
Abstract: A competitive neural network model was proposed to describe the dynamics of cortical maps in which, there exist two memories: long-term and short-term. In this paper, we investigate the existence and the exponential stability of… read more here.
Keywords: periodic solution; time space; time; almost periodic ... See more keywords
Stability of a convex order one periodic solution of unilateral asymptotic type
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DOI: 10.1007/s11071-017-3647-2
Abstract: In this paper, we consider semi-continuous dynamical systems with linear impulsive conditions, which have a convex order one periodic solution of unilateral asymptotic type. By constructing a sequence of switched systems and using the square… read more here.
Keywords: one periodic; convex order; periodic solution; order one ... See more keywords
Attractive singularity problems for superlinear Liénard equation
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DOI: 10.1007/s11117-018-0615-0
Abstract: In this paper, we consider the following quasilinear Liénard equation with a singularity $$\begin{aligned} (\phi _p(x'(t)))'+f(x(t))x'(t)+g(t,x(t))=e(t), \end{aligned}$$(ϕp(x′(t)))′+f(x(t))x′(t)+g(t,x(t))=e(t),where g has a attractive singularity at the origin and satisfies superlinear condition at $$x=+\infty $$x=+∞. By using Manásevich–Mawhin… read more here.
Keywords: equation; periodic solution; nard equation; attractive singularity ... See more keywords
On periodic solution to control problem with time-driven switching
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DOI: 10.1007/s11590-021-01749-6
Abstract: In this contribution, we consider the optimal control problem for a switched dynamical system. While such systems can exhibit rather complex behavior in the case of only one switch, the most interesting problem corresponds to… read more here.
Keywords: problem time; periodic solution; control; solution control ... See more keywords
Periodic Solution and Ergodic Stationary Distribution of SEIS Dynamical Systems with Active and Latent Patients
Sign Up to like & getrecommendations! Published in 2018 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-018-0289-9
Abstract: This paper proposes two new stochastic non-autonomous SEIS epidemic dynamical models with latent and active patients. For the non-autonomous periodic system, we first obtain the sufficient conditions for the existence of nontrivial positive periodic solution… read more here.
Keywords: ergodic stationary; solution ergodic; stationary distribution; periodic solution ... See more keywords
Periodic solution of the (2 + 1)-dimensional nonlinear electrical transmission line equation via variational method
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DOI: 10.1016/j.rinp.2020.103666
Abstract: Abstract The soliton solutions of the (2+1)-dimensional nonlinear electrical transmission line equation are discussed by Md. Abdul Kayum, et al.(Results in Physics, Volume18, 2020, 103269). In this paper, we obtain its periodic solution by the… read more here.
Keywords: line equation; periodic solution; transmission line; electrical transmission ... See more keywords
Stochastic Periodic Solution of a Susceptible-Infective Epidemic Model in a Polluted Environment under Environmental Fluctuation
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Mathematical Methods in Medicine"
DOI: 10.1155/2018/7360685
Abstract: It is well known that the pollution and environmental fluctuations may seriously affect the outbreak of infectious diseases (e.g., measles). Therefore, understanding the association between the periodic outbreak of an infectious disease and noise and… read more here.
Keywords: periodic solution; infective epidemic; susceptible infective; epidemic model ... See more keywords
Investigation on multiple periodic solution branches of a system with piecewise linear nonlinear energy sink
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"
DOI: 10.1177/09544062211067774
Abstract: The multiple solution problem of nonlinear energy sinks (NESs) is of great interest in academic research and engineering applications; however, there exists only limited work on the multiple solution branches of piecewise linear NESs. Piecewise… read more here.
Keywords: multiple periodic; system piecewise; periodic solution; solution ... See more keywords
Positive periodic solution for prescribed mean curvature generalized Liénard equation with a singularity
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DOI: 10.1186/s13661-020-01388-3
Abstract: The main purpose of this paper is to investigate the existence of a positive periodic solution for a prescribed mean curvature generalized Liénard equation with a singularity (weak and strong singularities of attractive type, or… read more here.
Keywords: curvature generalized; mean curvature; periodic solution; prescribed mean ... See more keywords