Basin boundaries with fractal and smooth accumulation properties in systems with single potential well

DOI10.1016/S0960-0779(97)00080-5zbMath0989.37044OpenAlexW2068198567MaRDI QIDQ1809580

Mohamed S. Soliman

Publication date: 15 February 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(97)00080-5

zbMATH Keywords

periodic solutionssimulationbifurcationbasin boundarysaddle-nodehomo- or heteroclinic solution

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10)

Related Items (1)

Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Basin boundary metamorphoses: Changes in accessible boundary orbits
• Indeterminate bifurcational phenomena in hardening systems
• Catastrophes with indeterminate outcome
• Indeterminate jumps to resonance from a tangled saddle-node bifurcation
• BASIN ORGANIZATION PRIOR TO A TANGLED SADDLE-NODE BIFURCATION
• Jumps to Resonance: Long Chaotic Transients, Unpredictable Outcome, and the Probability of Restabilization

This page was built for publication: Basin boundaries with fractal and smooth accumulation properties in systems with single potential well