A novel hyperchaos in the quantum Zakharov system for plasmas

DOI10.1016/J.PHYSLETA.2007.09.054zbMath1217.81095OpenAlexW2081532214MaRDI QIDQ552899

A. P. Misra, Dibakar Ghosh, A. Roy Chowdhury

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.09.054

zbMATH Keywords

chaosLyapunov exponenthyperchaosquantum effectquantum Zakharov equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Quantum chaos (81Q50) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Hydro- and aero-acoustics (76Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Lasers, masers, optical bistability, nonlinear optics (78A60) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Electro- and magnetostatics (78A30)

Related Items (12)

Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system ⋮ A comparison of analytical solutions of nonlinear complex generalized Zakharov dynamical system for various definitions of the differential operator ⋮ Global well-posedness and the classical limit of the solution for the quantum Zakharov system ⋮ Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime ⋮ On the chaotic aspects of three wave interaction in a magnetized plasma ⋮ Soliton and chaotic structures of dust ion-acoustic waves in quantum dusty plasmas ⋮ Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction ⋮ A conservative linearly-implicit compact difference scheme for the quantum Zakharov system ⋮ The fractional modified Zakharov system for plasmas with a quantum correction ⋮ Simplest Megastable Chaotic Oscillator ⋮ A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator ⋮ Connecting Curves as a Tool to Localize Hidden Attractors in a New Chaotic Hyperjerk System with No Equilibria

Cites Work

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• Chaotic synchronization in coupled spatially extended beam-plasma systems
• Effect of a large amplitude Langmuir wave on the Weibel instability
• An equation for continuous chaos
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
• Jeans instability in a self-gravitating dusty plasma
• Analytical Method of Controlling Chaos in Duffing's Oscillator
• Controlling chaos
• Deterministic Nonperiodic Flow
• Synchronization in chaotic systems
• Nonlinear interaction of four electrostatic waves in a plasma

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