Rigorous numerical study of the Colpitts oscillator with an exponential nonlinearity.
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DOI: 10.1063/5.0090158
Abstract: The dynamics of the Colpitts oscillator with an exponential nonlinearity is investigated using rigorous interval arithmetic based tools. The existence of various types of periodic attractors is proved using the interval Newton method. The main… read more here.
Keywords: colpitts oscillator; exponential nonlinearity; oscillator exponential; numerical study ... See more keywords
Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents
Sign Up to like & getrecommendations! Published in 2022 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2022.2029485
Abstract: The purpose of this paper is to obtain rigorous numerical enclosures for solutions of Lane– Emden’s equation −∆u = |u|p−1u with homogeneous Dirichlet boundary conditions. We prove the existence of a nondegenerate solution u nearby… read more here.
Keywords: numerical enclosures; lane emden; emden equation; rigorous numerical ... See more keywords