Results 101 to 110 of about 5,152,512 (204)

A Note on Chaos of a Modified Piecewise Linear Discontinuous System with Multiple-Well Potentials: Melnikov Approach with Simulations

Axioms
The topic of chaotic thresholds for piecewise linear discontinuous (PWLD) systems with multiple-well potentials is a persistent topic in the research of a number of authors.
Tsvetelin Zaevski, Nikolay Kyurkchiev, Anton Iliev   +2 more
doaj   +1 more source

Phrynocephalus ananjevae Melnikov, Melnikova, Nazarov & Rajabizadeh 2013

, 2018
Phrynocephalus ananjevae Melnikov, Melnikova, Nazarov & Rajabizadeh, 2013 Phrynocephalus ananjevae Melnikov, Melnikova, Nazarov & Rajabizadeh, 2013: 38. COMMON NAME. — Zagros Toad-headed Agama (designated here). HOLOTYPE. — ZISP 10256.1.
Rastegar-Pouyani, Eskandar, Bahmani, Zahed, Fathinia, Behzad, Rastegar-Pouyani, Nasrullah, Gholamifard, Ali, Eskandarzadeh, Naeimeh, Hamidi, Kordiyeh   +6 more
core   +1 more source

Melnikov functions and heteroclinic orbits in delay differential equations

Journal of Mathematical Analysis and Applications, 1990
The author gives sufficient conditions for the existence of bounded solutions for the perturbed delay differential equation \(\dot z(t)=g(z_ t)+h(t,z_ t,\epsilon)\) where \(h(t,\phi,0)=0\), \(\epsilon >0\), \(z_ t(\theta)=z(t+\theta)\), \(\theta\in [-r;0]\) with \(r>0\).
openaire   +2 more sources

Poincaré-Melnikov-Arnold method for analytic planar maps

The Poincare-Melnikov-Arnold method for planar maps gives rise to a Melnikov function defined by an infinite and (a priori) analytically uncomputable sum.
Delshams Valdés, Amadeu, Ramírez Ros, Rafael   +1 more
core  

Higher-order Melnikov functions for degenerate cubic Hamiltonians

Advances in Differential Equations, 1996
The author considers quadratic perturbation problems of Hamiltonian systems in the plane with degenerate cubic Hamiltonians. He first uses the scheme of J. P. Francoise to compute explicitly the first four Melnikov functions \(M_1(h),\dots, M_4(h)\), then he proves the following five interesting theorems. Theorem 1.
openaire   +3 more sources

Pterygosoma dhofarensis Fajfer & Melnikov, 2014, sp. nov.

, 2014
Pterygosoma dhofarensis sp. nov. (Figs. 5–8) Description. FEMALE (holotype, Figs. 5–6). Gnathosoma. Cheliceral base about 70 (65–70 in 8 paratypes) long, cheliceral shaft 75 (65–70) long. Fixed cheliceral digit 15 long, with spinous process.
Fajfer, Monika, Melnikov, Daniel
core   +1 more source

The Chaotic Behavior of Parabolic Elastic Arch with Two Hinge Supports

工程科学与技术, 2007
:In order to design an arch structure with good nonlinear dynamic characteristics, the nonlinear dynamic behaviors under a long time external force have to be investigated.
doaj  

Poincaré-Melnikov-Arnold method for twist maps

The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant manifolds for systems of ordinary differential equations close to ``integrable'' ones with associated separatrices.
Delshams Valdés, Amadeu, Ramírez Ros, Rafael   +1 more
core  

Poincaré--Pontryagin--Melnikov functions for a class of perturbed planar Hamiltonian equations

, 2014
In this paper we extend a well-known algorithm for studying higher order Poincaré--Pontryagin--Melnikov functions of polynomial perturbed Hamiltonian equations. We consider a family of unperturbed equations whose associated Hamiltonian is not transversal
Rebollo-Perdomo, S.
core  

Addendum to Higher order stroboscopic averaged functions: a general relationship with Melnikov functions

Electronic Journal of Qualitative Theory of Differential Equations
This addendum presents a relevant stronger consequence of the main theorem of the paper “Higher order stroboscopic averaged functions: a general relationship with Melnikov functions”, Electron. J. Qual. Theory Differ. Equ. 2021, No. 77.
openaire   +4 more sources