Results 31 to 40 of about 388 (83)
Computation of periodic solution bifurcations in ODEs using bordered systems [PDF]
, 2002 We consider numerical methods for the computation and continuation of the three generic secondary periodic solution bifurcations in autonomous ODEs, namely the fold, the period-doubling (or flip) bifurcation, and the torus (or Neimark–Sacker) bifurcation.
Doedel, E. J. +2 more
core +2 more sources
Spline solutions for nonlinear two point boundary value problems
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 151-167, 1980., 1980 Necessary formulas are developed for obtaining cubic, quartic, quintic, and sextic spline solutions of nonlinear boundary value problems. These methods enable us to approximate the solution of the boundary value problems, as well as their successive derivatives smoothly.
Riaz A. Usmani
wiley +1 more source
Calculation of the Stability Index in Parameter-Dependent Calculus of Variations Problems: Buckling of a Twisted Elastic Strut [PDF]
, 2002 We consider the problem of minimizing the energy of an inextensible elastic strut with length 1 subject to an imposed twist angle and force. In a standard calculus of variations approach, one first locates equilibria by solving the Euler--Lagrange ODE ...
Hoffman, Kathleen A. +2 more
core +2 more sources
Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems
, 2015 Recently, we used the Sinc collocation method with the double exponential transformation to compute eigenvalues for singular Sturm-Liouville problems.
Gaudreau, Philippe, Safouhi, Hassan
core +1 more source
Computation of radial solutions of semilinear equations [PDF]
, 2007 We express radial solutions of semilinear elliptic equations on $R^n$ as convergent power series in $r$, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem.
Korman, P.
core +2 more sources
, 2017 We consider an approximate solution for the one-dimensional semilinear singularly-perturbed boundary value problem, using the previously obtained numerical values of the boundary value problem in the mesh points and the representation of the exact ...
Barakovic, Elvis +3 more
core +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur +6 more
wiley +1 more source
Demonstratio MathematicaThis article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj +1 more source
Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer +3 more
wiley +1 more source
Two-step multiblock hybrid method for the simulation of three-dimensional chaotic systems
Scientific AfricanChaotic systems, characterized by their butterfly-shaped phase portraits, nonlinearity, extreme sensitivity to initial conditions, and irregular, non-periodic behavior, pose significant challenges in numerical simulations due to the absence of closed ...
Joshua Sunday +3 more
doaj +1 more source