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Rigorous numerical study of the Colpitts oscillator with an exponential nonlinearity.

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2 Published in 2023 at "Chaos"

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 study of the density of periodic windows for the logistic map.

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0 Published in 2025 at "Chaos"

DOI: 10.1063/5.0250869

Abstract: Numerical study of periodic windows for the logistic map is carried out. Accurate rigorous bounds for periodic windows' end points are computed using interval arithmetic based tools. An efficient method to find the periodic window… read more here.

Keywords: rigorous numerical; periodic windows; numerical study; logistic map ... See more keywords

Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents

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1 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