Results 51 to 60 of about 7,745 (207)
C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.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 +2 more
wiley +1 more source
A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator
, 2017 In [1,2] we have developed a method (we call it the S-function method) that is successful in treating certain classes of rational second order ordinary differential equations (rational 2ODEs) that are particularly `resistant' to canonical Lie methods and
da Mota, L. A. C. P., Duarte, L. G. S.
core +1 more source
Unusual Nonpolynomial Van der Pol Oscillator Equations With Exact Harmonic and Isochronous Solutions
International Journal of Analysis and Applications, 2022 We do not know Van der Pol-type equations with nonlinear restoring force having explicitly an exact periodic solution. We present, for the first time, nonpolynomial Van der Pol oscillator equations that do not satisfy the classical existence theorems. We
Kolawolé Kêgnidé Damien Adjaï +3 more
doaj +1 more source
Wada property in systems with delay
, 2016 Delay differential equations take into account the transmission time of the information. These delayed signals may turn a predictable system into chaotic, with the usual fractalization of the phase space.
Daza, Alvar +2 more
core +1 more source
Parameter switching in a generalized Duffing system: Finding the stable attractors [PDF]
, 2013 This paper presents a simple periodic parameter-switching method which can find any stable limit cycle that can be numerically approximated in a generalized Duffing system. In this method, the initial value problem of the system is numerically integrated
Danca, Marius-F., Lung, Nicolae
core +2 more sources
International Journal of Mechanical System Dynamics, Volume 6, Issue 1, Page 3-21, March 2026.ABSTRACT An experimental campaign was undertaken to demonstrate the applicability of the Bouc–Wen hysteretic model to describe the hysteretic system of the recent Framatome dimple‐less spacer grid design for Pressurized Water Reactors. The experimental setup subjected a reduced‐length fuel rod, supported at both ends by dimple‐less grids, to forced ...
Giovanni Ferrari +3 more
wiley +1 more source
Analysis of a duffing oscillator that exhibits hysteresis with varying excitation frequency and amplitude [PDF]
, 2007 Hysteresis, or jump phenomenon, are a common and severe nonlinear behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution.
Billings, S.A., Li, L.M.
core +1 more source
Statistical linearization based estimation of the peak response of nonlinear systems subject to the EC8 design spectrum [PDF]
, 2008 A stochastic approach is proposed to obtain reliable estimates of the peak response of nonlinear systems to excitations specified via a response∕design seismic spectrum.
Giaralis, A., Spanos, P. D.
core +1 more source
Two‐Dimensional Materials as a Multiproperty Sensing Platform
Advanced Functional Materials, Volume 36, Issue 14, 16 February 2026.Various sensing modalities enabled and/or enhanced by two‐dimensional (2D) materials are reviewed. The domains considered for sensing include: 1) optoelectronics, 2) quantum defects, 3) scanning probe microscopy, 4) nanomechanics, and 5) bio‐ and chemosensing.
Dipankar Jana +11 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1943-1956, February 2026.ABSTRACT The existence of one or two strictly positive solutions of Neumann boundary value problems is studied in this paper where the nonlinearities are L1$$ {L}^1 $$‐Carathéodory functions, so they are not necessarily continuous. Additional weaker and better conditions than those used in previous results are posted on the nonlinearities to obtain ...
Kunquan Lan, Gustavo Cicchini Santos
wiley +1 more source