Piecewise linear differential system

Results 81 to 90 of about 97,564 (280)

Minimizers with discontinuous velocities for the electromagnetic variational method

, 2011
The electromagnetic two-body problem has \emph{neutral differential delay} equations of motion that, for generic boundary data, can have solutions with \emph{discontinuous} derivatives. If one wants to use these neutral differential delay equations with \
A. Bellen +6 more
core +1 more source

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

Advanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source

Simulation of vibrations of a continuously elastic supported rod with varying boundary conditions under the action of a movable

MATEC Web of Conferences, 2018
To simulate the non-linear vibrations of a floating bridge of a continuous system on separate floating supports with additional limiting supports at the ends with a moving load solves the most complicated problem which is the problem of describing the ...
Gridnev Sergey +3 more
doaj +1 more source

Corals and Reef‐Dwelling Fish Regulate Carbon Storage and Cycling Processes in Coral Reef Ecosystems

Advanced Science, EarlyView.
Coral reefs are biodiversity hotspots, yet their role in carbon storage and cycling remains poorly understood. Using field surveys and modeling in the South China Sea, we reveal the overlooked potential of carbon storage in reef ecosystems and how reef fish, corals, and surface sediment jointly shape reef carbon reservoirs.
Yiting Chen +8 more
wiley +1 more source

Arbitrary number of limit cycles for planar discontinuous piecewise linear differential systems with two zones

Electronic Journal of Differential Equations, 2015
For any given positive integer $n$ we show the existence of a class of discontinuous piecewise linear differential systems with two zones in the plane having exactly $n$ hyperbolic limit cycles.
Denis de Carvalho Braga, Luis Fernando Mello +1 more
doaj

Numerical method for solving the problem of electromagnetic wave diffraction on a homogeneous dielectric ball coated with graphene

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The study of electromagnetic wave diffraction on complex objects is an urgent task of modern electrodynamics. Such research is in important in various practical fields, such as nanoelectronics, photonics, and optics.
Yuriy G. Smirnov, Oleg V. Kondyrev
doaj +1 more source

Limit cycles in planar piecewise linear differential systems with nonregular separation line [PDF]

Physica D: Nonlinear Phenomena, 2016
Agraïments: The first author is supported by FAPESP grant number 2013/24541-0 and CAPES grant number 88881.030454/2013-01 Program CSF-PVE and UNAB13-4E-1604. In this paper we deal with lanar piecewise linear differential systems defined in two zones. We consider the case when the two linear zones are angular sectors of angles and 2 - respectively, for (
Pedro Toniol Cardin, Joan Torregrosa
openaire +6 more sources

Physics‐Embedded Neural Network: A Novel Approach to Design Polymeric Materials

Advanced Science, EarlyView.
Traditional black‐box models for polymer mechanics rely solely on data and lack physical interpretability. This work presents a physics‐embedded neural network (PENN) that integrates constitutive equations into machine learning. The approach ensures reliable stress predictions, provides interpretable parameters, and enables performance‐driven, inverse ...
Siqi Zhan +8 more
wiley +1 more source

Toward Prostate Cancer Early Warning with a Self‐Powered Wearable Biosensing Platform Integrated with Machine Learning

Advanced Science, EarlyView.
ABSTRACT Current prostate cancer detection methods remain limited in non‐invasiveness and specificity, prompting interest in urinary biomarkers such as sarcosine. Here, we report a urine‐powered wearable platform for non‐invasive sarcosine detection as a proof‐of‐concept for decentralized early warning.
Jing Xu +10 more
wiley +1 more source

Novel Hybrid Function Operational Matrices of Fractional Integration: An Application for Solving Multi-Order Fractional Differential Equations

AppliedMath
Although fractional calculus has evolved significantly since its origin in the 1695 correspondence between Leibniz and L’Hôpital, the numerical treatment of multi-order fractional differential equations remains a challenge.
Seshu Kumar Damarla, Madhusree Kundu
doaj +1 more source

limit cycles
limit cycle
discontinuous ordinary differential equations

discontinuous piecewise differential systems
bifurcation
continuous piecewise linear differential systems

non-smooth differential system
discontinuous piecewise linear differential system
continuous piecewise linear differential system