Oscillations and Rolling for Duffing's Equation

Aref’eva, I. Ya.; Piskovskiy, Evgeny; Волович, И. В.

doi:10.1142/9789814460026_0004

Cited by 2 publications

(2 citation statements)

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“…Recall that the stability of the asymptotic solution requires ℜe(J i ) < 0 (see (14)) and it guarantees that c > 0 and perturbations vanish. Even though it is not the final answer and one still has to solve coupled equations the claim is that only a finite number of ζ ij are really coupled with ε while other functions ζ ij just produce the inhomogeneity in equation for ε (24). Mathematically we can put all this decoupled modes to be zero but than the problem becomes completely equivalent to the previous case with a finite number of fields in the play.…”

Section: Curvature and Entropy Perturbationsmentioning

confidence: 99%

Analysis of scalar perturbations in cosmological models with a non-local scalar field

Koshelev¹,

Vernov²

2011

Class. Quantum Grav.

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We develop the cosmological perturbations formalism in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for the energy density perturbations of the non-local scalar field in the presence of the arbitrary potential and formulate the local system of equations for perturbations in the linearized model when both simple and double roots of the characteristic equation are present. We carry out the general analysis related to the curvature and entropy perturbations and consider the most specific example of perturbations when important quantities in the model become complex. * Postdoctoral researcher of FWO-Vlaanderen.

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Section: Curvature and Entropy Perturbationsmentioning

confidence: 99%

Analysis of scalar perturbations in cosmological models with a non-local scalar field

Koshelev¹,

Vernov²

2011

Class. Quantum Grav.

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“…One the other hand, though there has been applications of infinite statistics to the issues of black hole physics and dark energy [11][12][13][14], the Lagrangian form of the field theory of infinite statistics is still unavailable, which makes the further study and application of the novel statistics very difficult. It is known that the master field of SU (∞) theory should obey infinite statistics [15][16][17][18]. This may open the possibility of studying the relationship between infinite statistics and quantum gravity by the techniques like AdS/CFT.…”

Section: -P2mentioning

confidence: 99%