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Chaotic Dynamical Behavior of Coupled One-Dimensional Wave Equations (Q4990685)

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scientific article; zbMATH DE number 7352658

Language	Label	Description	Also known as
English	Chaotic Dynamical Behavior of Coupled One-Dimensional Wave Equations	scientific article; zbMATH DE number 7352658

Statements

scholarly article

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Chaotic Dynamical Behavior of Coupled One-Dimensional Wave Equations (English)

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publication date

31 May 2021

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zbMATH Keywords

wave equation

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van der Pol boundary condition

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snapback repeller

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chaos

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MaRDI profile type

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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

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Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis

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Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition.

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NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION

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CHAOTIC VIBRATIONS OF THE ONE-DIMENSIONAL MIXED WAVE SYSTEM

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Turing Instability and Pattern Formation in a Strongly Coupled Diffusive Predator–Prey System

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A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.

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GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS

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RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION

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Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\)

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Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions

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Analyzing displacement term's memory effect in a nonlinear boundary value problem to prove chaotic vibration of the wave equation

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Chaotic oscillations of the 1D wave equation due to extreme imbalance of self-regulations

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Snap-back repellers imply chaos in \(\mathbb{R}^n\)

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On redefining a snap-back repeller

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Chemotaxis Effect on Algae by Inorganic Polymer Flocculants: Backward Bifurcations and Traveling Wave Solutions

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Chaotic dynamical behaviors of a one-dimensional wave equation

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full work available at URL

https://doi.org/10.1142/s0218127421501157

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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

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Identifiers

zbMATH Open document ID

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10.1142/S0218127421501157

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4990685

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