Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method
From MaRDI portal
Publication:987275
DOI10.1007/S11431-010-0069-5zbMath1200.37016OpenAlexW2136698794MaRDI QIDQ987275
Shuhui Chen, Kam-Yim Sze, Yang-Yang Chen
Publication date: 13 August 2010
Published in: Science China. Technological Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11431-010-0069-5
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Simulation of dynamical systems (37M05) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (8)
Generalized hyperbolic perturbation method for homoclinic solutions of strongly nonlinear autonomous systems ⋮ A generalized Padé-Lindstedt-Poincaré method for predicting homoclinic and heteroclinic bifurcations of strongly nonlinear autonomous oscillators ⋮ Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation ⋮ Bifurcations and Hyperchaos in Magnetoconvection of Non-Newtonian Fluids ⋮ A new approach of asymmetric homoclinic and heteroclinic orbits construction in several typical systems based on the undetermined Padé approximation method ⋮ A review and guidance for pattern selection in spatiotemporal system ⋮ Initialization of Homoclinic Solutions near Bogdanov--Takens Points: Lindstedt--Poincaré Compared with Regular Perturbation Method ⋮ HARMONIC BALANCE FOR NON-PERIODIC HYPERBOLIC SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
Cites Work
- Unnamed Item
- A hyperbolic Lindstedt-Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators
- Heteroclinic solutions for a class of the second order Hamiltonian systems
- A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order ODEs
- Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
- On infinite period bifurcations with an application to roll waves
- Predicting homoclinic bifurcations in planar autonomous systems
- Analytic approximation of the homoclinic orbits of the Lorenz system at \(\sigma=10\), \(b=8/3\) and \(\rho=13. 926\dots\)
- Construction of homoclinic and heteroclinic trajectories in mechanical systems with several equilibrium positions.
- Prediction of homoclinic bifurcation: the elliptic averaging method
- Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method
- Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method
- Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method
- Homoclinic solutions for a class of the second order Hamiltonian systems
- STABILITY AND BIFURCATIONS OF LIMIT CYCLES BY THE PERTURBATION–INCREMENTAL METHOD
- Exponentially Small Splittings of Manifolds in a Rapidly Forced Duffing System
- ANALYTICAL CONSTRUCTION OF HOMOCLINIC ORBITS OF TWO- AND THREE-DIMENSIONAL DYNAMICAL SYSTEMS
- Homoclinic solutions for a class of second-order Hamiltonian systems
This page was built for publication: Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method
