Chaotic dynamics of a 2D hyperbolic PDE with the boundary conditions of superlinear type
type: Item
instance of: scholarly article
title: Chaotic dynamics of a 2D hyperbolic PDE with the boundary conditions of superlinear type
zbMATH Open document ID: 1468.35090
published in: Qualitative Theory of Dynamical Systems
publication date: 2021-06-30T00:00:00Z
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7365491
zbMATH Keywords: chaotic vibrations
zbMATH Keywords: linear equation
zbMATH Keywords: nonlinear mixed boundary conditions
zbMATH Keywords: chaotic mapping theory
zbMATH Keywords: method of characteristics
zbMATH Keywords: existence of nonisotropic chaotic vibrations
author: P.-X. Zhu
author: Qiao-Min Xiang
author: Kai Lu
MaRDI profile type: Publication
full work available at URL: s12346-021-00470-0
OpenAlex ID: W3142991560
Wikidata QID: Q115601493
cites work: Dynamics in one dimension
cites work: Notes on chaos in the cell population partial differential equation
cites work: Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis
cites work: NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION
cites work: CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES
cites work: Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations
cites work: Chaotic Oscillations of Solutions of the Klein–Gordon Equation Due to Imbalance of Distributed and Boundary Energy Flows
cites work: Chaotic oscillations of solutions of first order hyperbolic systems in 1D with nonlinear boundary conditions
cites work: Q3993502
cites work: CHAOTIC VIBRATIONS OF THE ONE-DIMENSIONAL MIXED WAVE SYSTEM
cites work: GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS
cites work: A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.
cites work: Q5479068
cites work: Nonisotropic spatiotemporal chaotic vibrations of the one-dimensional wave equation with a mixing transport term and general nonlinear boundary condition
cites work: Chaotic oscillations of the 1D wave equation due to extreme imbalance of self-regulations
cites work: Q4633515
cites work: Q4888828
cites work: Q5641485
cites work: Introduction to Applied Nonlinear Dynamical Systems and Chaos
cites work: Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition
cites work: Nonisotropic chaotic oscillations of the wave equation due to the interaction of mixing transport term and superlinear boundary condition
cites work: Nonisotropic chaotic vibrations of a 2D hyperbolic PDE
cites work: Chaotic dynamics of linear hyperbolic PDEs with nonlinear boundary conditions
cites work: Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions
cites work: Bifurcation and chaos of an axially accelerating viscoelastic beam
DOI: 10.1007/S12346-021-00470-0
Recommended article: Chaotic dynamics of linear hyperbolic PDEs with nonlinear boundary conditions
Recommended article: Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition
Recommended article: Chaos of the 2D linear hyperbolic equation with general van der Pol type boundary condition
Recommended article: Chaotic vibrations of 3D linear hyperbolic PDEs with linear perturbations of superlinear boundary conditions
Recommended article: Chaos analysis for a class of hyperbolic equations with nonlinear boundary conditions
Recommended article: Superlinear indefinite equations on the real line and chaotic dynamics
Recommended article: Chaos of multi-dimensional linear hyperbolic PDEs
Recommended article: Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions
Recommended article: Existence of chaotic oscillations in second-order linear hyperbolic PDEs with implicit boundary conditions
description: scientific article; zbMATH DE number 7365491