scientific article; zbMATH DE number 7026424

DOI10.18454/2079-6641-2018-23-3-98-105zbMath1408.34009MaRDI QIDQ4624993

V. A. Kim, R. I. Parovik

Publication date: 20 February 2019

Full work available at URL: http://mathnet.ru/eng/vkam260

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

limit cyclechaotic attractorphase trajectoriesDuffing fractal oscillatorspectrum of maximum Lyapunov exponents

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Fractional ordinary differential equations (34A08)

Related Items

Implicit finite-difference scheme for a Duffing oscillator with a derivative of variable fractional order of the RiemannLiouville type

Cites Work

• Unnamed Item
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• Chaotic attractors in incommensurate fractional order systems
• Determining Lyapunov exponents from a time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Identification of errors in mathematical symbolism and notation: implications for software design
• Elastizität und Reibung beim Riementrieb
• Chaotic vibrations of the duffing system with fractional damping