scientific article; zbMATH DE number 5039105

zbMATH Open1108.35104MaRDI QIDQ5479066

Zhaosheng Feng

Publication date: 6 July 2006

Title of this publication is not available (Why is that?)

zbMATH Keywords

hyperbolic systemstopological conjugacymethod of characteristicsvibrationno period doublingwave equation, period doubling, chaos

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Wave equation (35L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION ⋮ Chaotic vibration of a two-dimensional wave equation with nonlinear boundary condition ⋮ Nonisotropic chaotic oscillations of the wave equation due to the interaction of mixing transport term and superlinear boundary condition ⋮ Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition. ⋮ Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition. ⋮ Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span ⋮ Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis ⋮ Analyzing displacement term's memory effect in a nonlinear boundary value problem to prove chaotic vibration of the wave equation

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