Results 41 to 50 of about 27,230 (113)

Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley   +1 more source

New results on group classification of nonlinear diffusion-convection equations

, 2003
Using a new method and additional (conditional and partial) equivalence transformations, we performed group classification in a class of variable coefficient $(1+1)$-dimensional nonlinear diffusion-convection equations of the general form $f(x)u_t=(D(u ...
Abramenko A A, Akhatov I Sh, Akhatov I Sh, Akhatov I Sh, Amerov T K, Ames W F, Ames W F, Barenblatt G I, Barenblatt G I, Basarab-Horwath P, Boyko V M, Dorodnitsyn V A, El-labany S K, Gagnon L, Kaptsov O V, King J R, Kingston J G, Kingston J G, Lahno V I, Lahno V I, Lie S, Lie S, Malfliet W, Mubarakzyanov G M, Nataliya M Ivanova, Nikitin A G, Ovsiannikov L V, Ovsiannikov L V, Patera J, Polyanin A D, Popovych R O, Popovych R O, Popovych R O, Roman O Popovych, Sophocleous C, Sophocleous C, Vasilenko O F, Zhdanov R Z   +37 more
core   +4 more sources

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye, A. L. Sackitey, Agnes Adom‐Konadu, Samuel E. Assabil, Luca Guerrini, M. F. Ofori, Massimiliano Ferrara   +6 more
wiley   +1 more source

Upper-division student difficulties with Separation of Variables

, 2015
Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter this technique in multiple topical areas including electrostatics and ...
Pollock, Steven J., Wilcox, Bethany R.
core   +2 more sources

C∞$$ {C}^{\infty } $$‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
wiley   +1 more source

Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros, Alexei Cheviakov, Raymond J. Spiteri   +2 more
wiley   +1 more source

Advancing Extracellular Vesicle Research: A Review of Systems Biology and Multiomics Perspectives

PROTEOMICS, EarlyView.
ABSTRACT Extracellular vesicles (EVs) are membrane‐bound vesicles secreted by various cell types into the extracellular space and play a role in intercellular communication. Their molecular cargo varies depending on the cell of origin and its functional state.
Gloria Kemunto, Samaneh Ghadami, Kristen Dellinger   +2 more
wiley   +1 more source

Digital Twin Simulations Toolbox of the Nitrogen‐Vacancy Center in Diamond

Advanced Quantum Technologies, EarlyView.
The Nitrogen‐vacancy (NV) center in diamond is a key platform within quantum technologies. This work introduces a Python based digital‐twin of the NV, where the spin dynamics of the system is simulated without relying on commonly used approximations, such as the adoption of rotating frame. The digital‐twin is validated through three different examples,
Lucas Tsunaki, Anmol Singh, Sergei Trofimov, Boris Naydenov   +3 more
wiley   +1 more source

Unlocking Klockmannite: Formation of Colloidal Quasi‐2D CuSe Nanocrystals and Photo‐Physical Properties Arising From Crystal Anisotropy

Small, EarlyView.
Thiol‐free hot injection approach yields quasi‐2D klockmannite CuSe nanocrystals, specifically nanosheets and uniform triangular nanoplatelets. This study reconsiders the klockmannite from the point of view of crystal anisotropy and demonstrates its effect on plasmonic response in the near‐infrared spectral region with the theoretical emergence of ...
Urvi Parekh, Nadiia Didukh, Samira Dabelstein, Ronja Piehler, Eugen Klein, Jivesh Kaushal, Tobias Korn, Stefan Lochbrunner, Christian Klinke, Stefan Scheel, Rostyslav Lesyuk   +10 more
wiley   +1 more source