New views of some invariants associated with the Cartesian 2D velocity gradient tensor
Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley +1 more source
Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]
Rateb AE +4 more
europepmc +1 more source
Sliding Mode Control in Aerospace Applications: A Survey
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley +1 more source
Exact wave structures in magneto-optic soliton channels governed by Kudryashov-type coupled Schrödinger dynamics. [PDF]
Tarek A, Ahmed HM, Badra N, Samir I.
europepmc +1 more source
Actuation Strategies for Underwater Jet‐Propelled Soft Robots
ABSTRACT This review article examines jet‐propulsion mechanisms in underwater soft robotic systems, focusing exclusively on physically fabricated and experimentally validated robots. Covering research published from 2013 to 2025, this study classifies and evaluates jet‐propulsion robots based on their actuation mechanisms.
Angel Kitone +3 more
wiley +1 more source
Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method. [PDF]
Iqbal M +7 more
europepmc +1 more source
Outracing a National Level Model Racing Car Champion: A Hybrid Model‐Based Data‐Driven Approach
ABSTRACT This paper discusses lap time optimization, focusing on a single lap without considering opponents in autonomous racing. The paper presents a control and optimization architecture composed of a model‐based low level controller and a higher level iterative learning algorithm with the goal of obtaining the fastest qualifying lap in autonomous ...
Mustafa Alp +3 more
wiley +1 more source
Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method. [PDF]
Fahim MM, Ahmed HM, Dib KA, Samir I.
europepmc +1 more source
Machine learning provides a unifying framework to connect structure, fluorescence properties, and applications of carbon‐based quantum dots. This review highlights how data‐driven strategies enable fluorescence regulation, reveal underlying mechanisms, and accelerate the rational design of functional carbon dots.
Liangfeng Chen +8 more
wiley +1 more source
Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]
Aghazadeh A, Lakestani M.
europepmc +1 more source

