Kneading theory analysis of the Duffing equation

DOI10.1016/J.CHAOS.2009.03.040zbMath1198.37070OpenAlexW2012946639MaRDI QIDQ603751

Clara Grácio, Acilina Caneco, J. Leonel Rocha

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10174/6767

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems involving maps of the interval (37E05) Low-dimensional dynamical systems (37E99)

Related Items (5)

Networks Synchronizability, Local Dynamics and Some Graph Invariants ⋮ TOPOLOGICAL ENTROPY IN THE SYNCHRONIZATION OF PIECEWISE LINEAR AND MONOTONE MAPS: COUPLED DUFFING OSCILLATORS ⋮ On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions ⋮ INVARIANCE OF KNEADING MATRIX UNDER CONJUGACY ⋮ Symbolic dynamics of Belykh-type maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chaos synchronization between single and double wells Duffing-Van der Pol oscillators using active control
• Weighted kneading theory of one-dimensional maps with a hole
• Complex dynamics in three-well Duffing system with two external forcings
• Global chaos synchronization of the parametrically excited duffing oscillators by linear state error feedback control
• Entropy of piecewise monotone mappings
• BIFURCATION STRUCTURES GENERATED BY THE NONAUTONOMOUS DUFFING EQUATION
• BEHAVIOR OF HARMONICS GENERATED BY A DUFFING TYPE EQUATION WITH A NONLINEAR DAMPING: PART I

This page was built for publication: Kneading theory analysis of the Duffing equation