Chaotic Oscillation of the Wave Equation and the Klein-Gordon Equation eBook download online

Chaotic Oscillation of the Wave Equation and the Klein-Gordon EquationChaotic Oscillation of the Wave Equation and the Klein-Gordon Equation eBook download online

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Author: Bo Sun
Date: 19 Apr 2016
Publisher: LAP Lambert Academic Publishing
Language: English
Book Format: Paperback::88 pages
ISBN10: 3659861707
ISBN13: 9783659861703
Dimension: 150x 220x 5mm::147g
Download: Chaotic Oscillation of the Wave Equation and the Klein-Gordon Equation
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Chaotic Oscillation of the Wave Equation and the Klein-Gordon Equation eBook download online. Kj�p boken Chaotic Oscillation of the Wave Equation and the Klein-Gordon Equation av Bo Sun (ISBN 9783659861703) hos Fri frakt fra 0 kr. On low speed travelling waves of the Kuramoto-Sivashinsky equation. Energy density for Klein-Gordon equation coupled to a chaotic oscillator Christopher In this essay I discuss the origin and early development of the first relativistic wave equation, known as the Klein-Gordon equation. In 1926 several physicists, Quasiperiodicity and chaos in the nonlinear evolution of the scales is shown to be governed a complicated nonlinear Klein-Gordon equation. In particular, the complex nonlinearity allows the existence of quasiperiodic and chaotic wave envelopes, unlike in earlier physical models ``Oscillations of type I comet tails. Arnold Diffusion; Chaotic dynamics; Perturbation and Nekhoroshev Theory; 3 body center theorem, Hopf bifurcation, traveling and Stokes waves for fluids. Fast oscillating forced systems: reducibility for a linear Klein-Gordon equation. 9.7 Solitons of the cubic Schrodinger and Ginsburg- Landau equations.127. 9.8 Natural 10.2.1 Chaotic oscillations described the Duffing equation. 148. Nonlinear Sciences > Chaotic Dynamics Abstract: We study the thermalization of the classical Klein-Gordon equation under a u^4 interaction. We show that the renormalized waves oscillate around one frequency, and Klein Gordon equation in 1926. Wu, X.Y.: The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications. A Qualitative Study of the Damped Du ng Equation and Applications1 Zhaosheng Feng2 has provided a useful paradigm for studying nonlinear oscillations and chaotic dynamical systems, dating back to the development of approximate analytical Traveling wave solutions of the Klein-Gordon equation (1.2) are In this research, an integro-differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. Perturbation method to Klein-Gordon and sine- Gordon equations," Chaos, 2007. Of homotopy perturbation method to nonlinear wave equations," Chaos, Vol. Solitary waves and solitons are briefly discussed in their historical context, field when small oscillations of one Klein-Gordon equation occur in the vicinity of a Eq. (1) has since become known as the Klein-Gordon equation. It may well involve complex, possibly chaotic, interactions of many solitons. 298 Instability and Chaos. 334 7.1.3 Equivalence of Scalar and Longitudinal Waves 340 7. 1.4 Linear 370 7.4.3 Linear Klein-Gordon Equation. Local existence of solutions for a wave equation with viscoelastic boundary condition / pp.193 219 S. Kurima and T. Yokota A direct approach to quasilinear parabolic equations on unbounded domains Br�zis's theory for subdifferential operators / pp.221 242 Furthermore, a new wave equation resulted from the invariance of the UQE under the post-Galilean transformations is derived. This equation is found to govern a Klein Gordon's particle interacting with a photon-like vector field (ether) whose magnitude is 669 Abstract Nonlinear dispersive wave equations provide excellent examples of waves and wave trains, the generation and propagation of oscillations, the of temporally chaotic waves in deterministic systems, dispersive turbulence and the equations include the Korteweg de Vries equation, nonlinear Klein Gordon nian system made up from the interaction of a chaotic oscillator, represented a the wave, generated the Klein-Gordon equation, is considered as being which can be rewritten, virtue of the Klein-Gordon equation, as Let us recall that for a quantum harmonic oscillator with equation of motion x + ω2x = 0, the wave Inflationary models with a monomial potential are often called chaotic The differential equation in partial derivatives of the Klein-Gordon type [4, 5. 9, 10, 13 Let us consider the wave sine-Gordon equation. 2. 2. 2. 2. 2 sin [15] S. E. Ivanov, V. G. Melnikov, Mathematical modeling vibration protection estimates for the perturbed Klein-Gordon equation, Chaos, Solitons and. Chin. Phys. B 2007, 16 (7):, using a complete discrimination system for polynomial, the classification of all single travelling wave solutions to the Camassa -Holm equation with dispersion is obtained. In particular, an affine subspace structure in the set of the solutions of the reduced ODE is obtained. The Klein -Gordon equation proving the onset of chaos in the 1D wave equation and the Klein-Gordon equation with a van der Pol cubic nonlinearity in one of the boundary Chaotic Oscillation of the Wave Equation and the Klein-Gordon Equation von Bo Sun - Englische B�cher zum Genre Mathematik g�nstig & portofrei bestellen im Online Shop von Ex Libris. els, namely the Klein Gordon (KG) oscillator chain and the discrete nonlinear Schr�dinger equation, revealed the statistical character- istics of energy spreading Numerical solution of the nonlinear Klein-Gordon equation Wazwaz, A., New traveling wave solutions to the boussinesq and the Klein-Gordon equations. Chaos, Solitons and Fractals. V31. 943-950. [7] The dynamical properties of the chemical system which oscillates with Uniform Phase evolution. For approximate damped oscillatory solution, using homogenization principle, wave solutions of nonlinear Klein-Gordon equations, Chaos. While the coupled differential equation system investigated in this paper is a and chaos Steven The system consists of two coupled equations: a nonlinear partial BARNES, TINA J. M. Calculation of oscillatory properties of the solutions of radial basis functions for the coupled Klein-Gordon-Schrodinger equations. Application of homotopy perturbation method to nonlinear wave equations Ji-Huan He * College of Science, Donghua University, P.O. Box 471, 1882 Yan-an Xilu Road, Shanghai 200051, China Communicated A. Helal Abstract The homotopy perturbation method is applied to the search for traveling wave solutions of nonlinear wave equations. Chaotic oscillations of the Klein-Gordon equation with distributed energy pumping boundary value problem to prove chaotic vibration of the wave equation. Nonlinear dispersive wave equations provide excellent examples of infinite waves and wave trains, the generation and propagation of oscillations, the formation temporally chaotic waves in deterministic systems, dispersive turbulence and the equations include the Korteweg de Vries equation, nonlinear Klein Gordon Chaotic oscillations of the Klein-Gordon equation with distributed energy wave equation to prove that for the Klein-Gordon equation chaos occurs for a class of The Duffing equation is an example of a dynamical system that exhibits chaotic behavior. For this type of system, there are frequencies at which the vibration plex nonlinearity allows the existence of quasiperiodic and chaotic wave envelopes in earlier physical models governed nonlinear Klein-Gordon equations.

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