Results 171 to 180 of about 30,859 (297)

Limit Cycles of Continuous–Discontinuous Piecewise Linear Hamiltonian Systems in ℝ2$$ {\mathbb{R}}^2 $$ Separated by the Curve y=sinx$$ y=\sin x $$

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT These last decades piecewise differential systems have been studied intensively, mainly due to their applications. Inside the study of the dynamics of these differential systems, the limit cycles, that is, the isolated periodic orbits inside the set of all periodic orbits of the system, play a main role.
N. Chachapoyas   +3 more
wiley   +1 more source

Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley   +1 more source

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

open access: yesMathematical 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

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin   +2 more
wiley   +1 more source

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