Nonisotropic spatiotemporal chaotic vibrations of the one-dimensional wave equation with a mixing transport term and general nonlinear boundary condition
From MaRDI portal
Publication:5253960
DOI10.1063/1.3486070zbMath1314.35070OpenAlexW1998328562MaRDI QIDQ5253960
Yu Huang, YuanLong Chen, Liangliang Li
Publication date: 5 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3486070
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Wave equation (35L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Turbulent transport, mixing (76F25)
Related Items
Chaos of the 2D linear hyperbolic equation with general van der Pol type boundary condition, Chaotic dynamics of linear hyperbolic PDEs with nonlinear boundary conditions, Chaotic Oscillations of Second Order Linear Hyperbolic Equations with Nonlinear Boundary Conditions: A Factorizable but Noncommutative Case, Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions, Existence of chaotic oscillations in second-order linear hyperbolic PDEs with implicit boundary conditions, Chaotic Oscillations of 1D Wave Equation Due to a Generalized Nonlinear Energy-Decay Boundary Condition, Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition, Chaotic vibration of a two-dimensional wave equation with nonlinear boundary condition, Chaotic oscillations of one-dimensional coupled wave equations with mixed energy transports, Chaotic oscillations of wave equations due to nonlinear boundary condition, Chaotic vibrations of 3D linear hyperbolic PDEs with linear perturbations of superlinear boundary conditions, Nonisotropic chaotic oscillations of the wave equation due to the interaction of mixing transport term and superlinear boundary condition, Observer design and stability analysis for a class of PDE chaotic systems, Chaotic dynamics of a 2D hyperbolic PDE with the boundary conditions of superlinear type, Nonisotropic chaotic vibrations of a 2D hyperbolic PDE, Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions, Unnamed Item, Analyzing displacement term's memory effect in a nonlinear boundary value problem to prove chaotic vibration of the wave equation, Observer design for wave equation with a forcing term in the boundary
Cites Work
- Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions
- Dynamics in one dimension
- A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.
- CHAOTIC VIBRATIONS OF THE ONE-DIMENSIONAL MIXED WAVE SYSTEM
- Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis
- GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS
- CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES
- 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
- NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL 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.
- RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION
- Unnamed Item
- Unnamed Item
