``Horseshoe chaos'' in the space-independent double sine-Gordon system
type: Item
instance of: scholarly article
title: ``Horseshoe chaos'' in the space-independent double sine-Gordon system
zbMATH Open document ID: 0621.70021
DOI: 10.1016/0165-2125(86)90039-9
published in: Wave Motion
publication date: 1986-01-01T00:00:00Z
review text: For the driven, damped space-independent double sine-Gordon equation (periodic but non-sinusoidal potential) threshold curves for horseshoe chaos of the Smale type are derived by the Melnikov technique. Different qualitative behaviour of the solutions is found in different regions of the parameter space. Results are compared to the case of a nonlinear pendulum with sinusoidal potential.
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 70K30
Mathematics Subject Classification ID: 37D15
zbMATH DE Number: 4007776
zbMATH Keywords: bifurcation theory
zbMATH Keywords: nonlinear oscillations
zbMATH Keywords: driven, damped space- independent double sine-Gordon equation
zbMATH Keywords: non-sinusoidal potential
zbMATH Keywords: horseshoe chaos
zbMATH Keywords: Melnikov technique
zbMATH Keywords: nonlinear pendulum
author: Michele Bartuccelli
author: Peter Leth Christiansen
author: Niels Falsig Pedersen
author: M. Salerno
reviewed by: Klaus Brod
MaRDI profile type: Publication
full work available at URL: 0165-2125(86)90039-9
OpenAlex ID: W2082403898
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q3939743
cites work: Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978
cites work: A mechanical analog for the double sine-Gordon equation
Wikidata QID: Q62601173
description: scientific article; zbMATH DE number 4007776