Results 31 to 40 of about 166 (142)
Nonautonomous linear Hamiltonian systems oscillation, spectral theory and control
, 2016 This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence.
Obaya, Rafael +4 more
core +1 more source
On attractors, spectra and bifurcations of random dynamical systems [PDF]
, 2015 In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
core +1 more source
Nucleic Acid‐Based Molecular Machines for Biological Applications
Advanced NanoBiomed Research, Volume 5, Issue 11, November 2025.Molecular machines are devices assembled from molecules with specific functions. In this review, the development of DNA nanostructures, which are then assembled into molecular machines, is summarized. Their classification and biological applications, such as biosensing, targeted therapy, and molecular circuits are introduced.
Yirong Guo, Xiaolei Zuo, Fangfei Yin
wiley +1 more source
IET Smart Grid, Volume 8, Issue 1, January/December 2025.Equivalent models, including surrogate models, reduced‐order models (ROMs) and hybrid models, have garnered considerable attention. This paper first summarises the challenges in DER‐based power system simulation. Then, we categorise equivalence modelling techniques along with their advantages while addressing simulation difficulties and accordingly ...
Ke Wang, Yang Cao, Wei Gu
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi +3 more
wiley +1 more source
Weak mixing and chaos in nonautonomous discrete systems
, 2012 The paper is devoted to a study of chaotic properties of nonautonomous discrete systems (NDS) defined by a sequence f∞={fi}i=0∞ of continuous maps acting on a compact metric space.
Balibrea, Francisco, Oprocha, Piotr
core +1 more source
An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we study the optimal feedback control framework for a class of nonautonomous evolution equations involving integrodifferential operators. By leveraging the Cesari property and Filippov’s selection theorem, we first prove the existence of admissible control‐state pairs under relaxed regularity assumptions.
Longxu Li +2 more
wiley +1 more source
Strong mixing measures and invariant sets in linear dynamics [PDF]
, 2015 The Ph.D. Thesis “Strong mixing measures and invariant sets in linear dynamics” has three differenced parts. Chapter 0 introduces the notation, definitions and the basic results that will be needed troughout the thesis.
Murillo Arcila, Marina
core +1 more source
Stability of fronts in the diffusive Rosenzweig–MacArthur model
Studies in Applied Mathematics, Volume 153, Issue 4, November 2024.Abstract We consider a diffusive Rosenzweig–MacArthur predator–prey model in the situation when the prey diffuses at a rate much smaller than that of the predator. In a certain parameter regime, the existence of fronts in the system is known: the underlying dynamical system in a singular limit is reduced to a scalar Fisher–KPP (Kolmogorov–Petrovski ...
Anna Ghazaryan +3 more
wiley +1 more source
Periodic Solutions of Angiogenesis Models with Time Lags [PDF]
, 2012 To enrich the dynamics of mathematical models of angiogenesis, all mechanisms involved are time-dependent. We also assume that the tumor cells enter the mechanisms of angiogenic stimulation and inhibition with some delays.
Amster, Pablo Gustavo +5 more
core +1 more source