Results 21 to 30 of about 377 (37)
On the periodic solutions of a generalized smooth or non-smooth perturbed planar double pendulum [PDF]
, 2012 We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non--linear planar double pendulum perturbed by smooth or non--smooth functions.Comment: arXiv admin note: substantial text overlap with arXiv:1109 ...
Llibre, Jaume +2 more
core +3 more sources
Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya +4 more
wiley +1 more source
Periodic solutions of some classes of continuous second-order differential equations [PDF]
, 2017 We study the periodic solutions of the second-order differential equations of the form ẍ ± xn = µf (t), or ẍ
Llibre, Jaume, Makhlouf, Ammar
core +2 more sources
Normal forms of piecewise-smooth monodromic systems
Advances in Nonlinear AnalysisNormal form is an important tool in the study of bifurcations but, unlike those for smooth differential systems, normal forms for piecewise-smooth systems have difficulty with the near-identity transformation, which is constructed piecewise but needs to ...
Li Jiahao, Chen Xingwu, Zhang Weinian
doaj +1 more source
On the period function of Newtonian systems [PDF]
, 2013 We study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x=y,\qquad \dot y = -h(x) - g(x)y - f(x)y^2.$$ We are interested in the period function $T$ around a center 0. A sufficient condition for the isochronicity of (
Chouikha, A. Raouf, Timoumi, Mohsen
core +1 more source
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
, 2018 We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family.
Bastos, Jéfferson L. R. +3 more
core +1 more source
A proof of Perko's conjectures for the Bogdanov-Takens system
, 2013 The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop
Gasull, Armengol +3 more
core +3 more sources
, 2017 Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for $k$-parameter families of planar vector fields.
Novaes, Douglas Duarte +2 more
core +1 more source
Existence of Self-sustained Oscillations in an Ocean Circulation Box Model with Turbulent Fluxes [PDF]
, 2006 Box-models are important for qualitative description of thermohaline circulation. Their bifurcation analysis helps to understand possible mechanisms for the loss of stability.
Davydov, A.A., Melnikov, N.B.
core
Symmetric Liapunov center theorem for minimal orbit
, 2018 Using the techniques of equivariant bifurcation theory we prove the existence of non-stationary periodic solutions of $\Gamma$-symmetric systems $\ddot q(t)=-\nabla U(q(t))$ in any neighborhood of an isolated orbit of minima $\Gamma(q_0)$ of the ...
Pérez-Chavela, Ernesto +2 more
core +1 more source