Oscillons in the presence of external potential

Abstract

We discuss similarity between oscillons and oscillational mode in perturbed ${\varphi }^4$. For small depths of the perturbing potential it is difficult to distinguish between oscillons and the mode in moderately long time evolution, moreover one can transform one into the other by adiabatically switching on and off the potential. Basins of attraction are presented in the parameter space describing the potential and initial conditions.

arXiv comment24 pages, 15 figures, largely expanded version

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Cited by in corpus (15)

• The ${\varphi }^4$ model with the BPS preserving defect
• The Structure of the Oscillon: The Dynamics of Attractive Self-Interaction
• Kink-antikink scattering in the ${\varphi }^4$ model without static intersoliton forces
• The BPS property and its breaking in 1+1 dimensions
• Boundary scattering in the ${\varphi }^6$ model
• Wobbling double sine-Gordon kinks
• False vacuum decay in kink scattering
• Staccato radiation from the decay of large amplitude oscillons
• Sphalerons and resonance phenomenon in kink-antikink collisions
• Non-topological solitons and quasi-solitons
• Scattering of compact oscillons
• Oscillons in a perturbed signum-Gordon model
• Roper resonances and quasi-normal modes of Skyrmions
• On decay of shock-like waves into compact oscillons
• Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories