Study of limit cycles and stability analysis of fractional Arneodo oscillator

DOI10.1007/s10957-012-0190-7zbMath1268.34095OpenAlexW1994134237MaRDI QIDQ1949558

Mohammad Rostami, Mohammad Haeri

Publication date: 8 May 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0190-7

zbMATH Keywords

limit cycledescribing functionfractional systemsArneodo oscillatorLoeb criterion

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Cites Work

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• A necessary condition for double scroll attractor existence in fractional-order systems
• A proof for non existence of periodic solutions in time invariant fractional order systems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Synchronization in fractional-order differential systems

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