Results 21 to 30 of about 2,073 (254)

Locally conformal symplectic manifolds

International Journal of Mathematics and Mathematical Sciences, 1985
A locally conformal symplectic (l. c. s.) manifold is a pair (M2n,Ω) where M2n(n>1) is a connected differentiable manifold, and Ω a nondegenerate 2-form on M such that M=⋃αUα (Uα- open subsets). Ω/Uα=eσαΩα, σα:Uα→ℝ, dΩα=0.
Izu Vaisman
doaj   +1 more source

The dynamical systems approach to differential equations [PDF]

Bulletin of the American Mathematical Society, 1984
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 11, Number 1, July 1984 THE DYNAMICAL SYSTEMS APPROACH TO DIFFERENTIAL EQUATIONS BY MORRIS W. HIRSCH 1 This harmony that human intelligence believes it discovers in nature —does it exist apart from that intelligence? No, without doubt, a reality completely independent of the spirit which
openaire   +3 more sources

Advanced Fractional Mathematics, Fractional Calculus, Algorithms and Artificial Intelligence with Applications in Complex Chaotic Systems

Chaos Theory and Applications, 2023
Chaos, comprehended characteristically, is the mathematical property of a dynamical system which is a deterministic mathematical model in which time can be either continuous or discrete as a variable.
Dumitru Baleanu, Yeliz Karaca
doaj  

Fixed-Time Stability, Uniform Strong Dissipativity, and Stability of Nonlinear Feedback Systems

Mathematics
In this paper, we develop new necessary and sufficient Lyapunov conditions for fixed-time stability that refine the classical fixed-time stability results presented in the literature by providing an optimized estimate of the settling time bound that is ...
Wassim M. Haddad, Kriti Verma, Vijaysekhar Chellaboina   +2 more
doaj   +1 more source

On dynamical properties of general dynamical systems and differential inclusions

Journal of Mathematical Analysis and Applications, 2002
AbstractLet F be a general dynamical system defined on a complete locally compact metric space X. We give a slightly improved version of the Lyapunov characterization of asymptotic stability in one of our previous works and provide a short self-contained proof for the existence of arbitrarily small positively invariant neighborhoods of compact ...
Xiaoxian Zhang, Desheng Li
openaire   +2 more sources

Dendritic cells steering antigen and leukocyte traffic in lymph nodes

FEBS Letters, EarlyView.
Dendritic cells are key players in the activation of T cells and their commitment to effector function. In this In a Nutshell Review, we will discuss how dendritic cells guide the trafficking of antigen and leukocytes in the lymph node, thus influencing T‐cell activation processes. Dendritic cells (DCs) play a central role in initiating and shaping the
Enrico Dotta, Agnieszka Katarzyna Maciola, Tania Baccega, Giulia Pasqual   +3 more
wiley   +1 more source

Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia

FEBS Letters, EarlyView.
This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
wiley   +1 more source

A Coordinate-Free Variational Approach to Fourth-Order Dynamical Systems on Manifolds: A System and Control Theoretic Viewpoint

Mathematics
The present paper describes, in a theoretical fashion, a variational approach to formulate fourth-order dynamical systems on differentiable manifolds on the basis of the Hamilton–d’Alembert principle of analytic mechanics.
Simone Fiori
doaj   +1 more source

The power of microRNA regulation—insights into immunity and metabolism

FEBS Letters, EarlyView.
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto, Nicola Manfrini, Stefano Biffo   +2 more
wiley   +1 more source

The cytoskeletal control of B cell receptor and integrin signaling in normal B cells and chronic lymphocytic leukemia

FEBS Letters, EarlyView.
In lymphoid organs, antigen recognition and B cell receptor signaling rely on integrins and the cytoskeleton. Integrins act as mechanoreceptors, couple B cell receptor activation to cytoskeletal remodeling, and support immune synapse formation as well as antigen extraction.
Abhishek Pethe, Tanja Nicole Hartmann
wiley   +1 more source