Results 11 to 20 of about 1,884 (116)
Zeta functions and topological entropy of periodic nonautonomous dynamical systems
Discrete & Continuous Dynamical Systems - A, 2013 In the setting of continuous piecewise monotone interval maps, we study the analytic properties of the zeta function of a periodic nonautonomous dynamical system. Based upon these properties we discuss the relationship between topological entropy and growth number of periodic points of a periodic nonautonomous dynamical system.
João Ferreira Alves, Michal Málek
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Mathematical Methods in the Applied Sciences, Volume 46, Issue 11, Page 11780-11801, 30 July 2023., 2023 The aim of this paper is to establish some sufficient conditions ensuring the existence and uniqueness of positive (Bohr) almost periodic solutions to a class of semilinear evolution equations of the form: u′(t)=A(t)u(t)+f(t,u(t)),t∈ℝ$$ {u}^{\prime }(t)=A(t)u(t)+f\left(t,u(t)\right),t\in \mathbb{R} $$.
Kamal Khalil
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Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the Three‐Body Problem
Communications on Pure and Applied Mathematics, Volume 76, Issue 3, Page 616-681, March 2023., 2023 Abstract We consider a class of autonomous Hamiltonian systems subject to small, time‐periodic perturbations. When the perturbation parameter is set to zero, the energy of the system is preserved. This is no longer the case when the perturbation parameter is non‐zero.
Maciej J. Capiński, Marian Gidea
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Real‐Time SLAM Mobile Robot and Navigation Based on Cloud‐Based Implementation
Journal of Robotics, Volume 2023, Issue 1, 2023., 2023 This study investigates the feasibility of a mobile robot navigating and discovering its location in unknown environments, followed by the creation of maps of these navigated environments for future use. First, a real mobile robot named TurtleBot3 Burger was used to achieve the simultaneous localization and mapping (SLAM) technique for a complex ...
Jaafar Ahmed Abdulsaheb +2 more
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G‐Chain Mixing and G‐Chain Transitivity in Metric G‐Space
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 Firstly, we introduce the concept of G‐chain mixing, G‐mixing, and G‐chain transitivity in metric G‐space. Secondly, we study their dynamical properties and obtain the following results. (1) If the map f has the G‐shadowing property, then the map f is G‐chain mixed if and only if the map f is G‐mixed.
Zhanjiang Ji, Mohammad Mirzazadeh
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The Existence of Periodic Solutions of Delay Differential Equations by E+‐Conley Index Theory
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, the E+‐Conley index theory has been used to study the existence of periodic solutions of nonautonomous delay differential equations (in short, DDEs). The variational structure for DDEs is built, and the existence of periodic solutions of DDEs is transferred to that of critical points of the associated function.
Huafeng Xiao, Paola Rubbioni
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Complexity, Volume 2022, Issue 1, 2022., 2022 This article deals with the control of chaos on the convective motion in a ferrofluid filled in a rotating porous medium and under the helical force effect. We performed a truncated expansion of Galerkin and found the Lorenz‐type model which described the system. The dynamical system is characterized using appropriate and subsequent criteria.
M.L. Hounvènou +2 more
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Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 Let hss=1∞ be a sequence of continuous maps on a compact metric space W which converges uniformly to a continuous map h on W. In this paper, some equivalence conditions or necessary conditions for the limit map h to be distributional chaotic are obtained (where distributional chaoticity includes distributional chaotic in a sequence, distributional ...
Risong Li +4 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The aim of this paper is to study the existence of (Q, T)‐affine‐periodic solutions for affine‐periodic systems on time scales of the type xΔ(t) = A(t)x(t) + f(t) and xΔt=Atxt+gt,xt,t∈T, assuming that corresponding homogeneous equation of this system admits exponential dichotomy.
Ruichao Guo +3 more
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A Small‐Amplitude Control Method of the Nonlinear Energy Sink Vibration Absorption System
Shock and Vibration, Volume 2022, Issue 1, 2022., 2022 The nonlinear energy sink (NES) is an effective method to weaken or eliminate the line spectra feature of ship machinery equipment. However, due to the strong nonlinearity of the NES, there are multistable attractors in the NES vibration absorption system.
Qingchao Yang +3 more
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