Constructing explicit homoclinic solution of oscillators: an improvement for perturbation procedure based on nonlinear time transformation
type: Item
instance of: scholarly article
title: Constructing explicit homoclinic solution of oscillators: an improvement for perturbation procedure based on nonlinear time transformation
author: Yanyan Li
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 34-XX
zbMATH DE Number: 7257633
zbMATH Keywords: explicit solution
zbMATH Keywords: homoclinic solution
zbMATH Keywords: perturbation method
zbMATH Keywords: nonlinear time transformation
MaRDI profile type: Publication
full work available at URL: j.cnsns.2016.12.010
OpenAlex ID: W2560204461
cites work: Analysis of non-linear autonomous conservative oscillators by a time transformation method
cites work: Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators
cites work: AN ELLIPTIC PERTURBATION METHOD FOR CERTAIN STRONGLY NON-LINEAR OSCILLATORS
cites work: Q4510589
cites work: A perturbation-incremental method for strongly nonlinear oscillators
cites work: A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom
cites work: Q4885523
cites work: Chaos of several typical asymmetric systems
cites work: Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop
cites work: The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application
cites work: Infinitely many homoclinic solutions for a second-order Hamiltonian system with locally defined potentials
cites work: Stability and bifurcations of limit cycles by the perturbation-incremental method
cites work: Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method
cites work: Generalized hyperbolic perturbation method for homoclinic solutions of strongly nonlinear autonomous systems
cites work: A generalized Padé-Lindstedt-Poincaré method for predicting homoclinic and heteroclinic bifurcations of strongly nonlinear autonomous oscillators
cites work: Solution Diagram Of Non-Linear Dynamic Systems By The IHB Method
cites work: A hyperbolic Lindstedt-Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators
cites work: Q3331506
cites work: NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
cites work: NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
cites work: FPGA realization of multi-scroll chaotic oscillators
cites work: FPGA realization of a chaotic communication system applied to image processing
cites work: Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems
DOI: 10.1016/J.CNSNS.2016.12.010
description: scientific article; zbMATH DE number 7257633