Slow–fast dynamics of a time-delayed electro-optic oscillator

DOI10.1098/rsta.2012.0459zbMath1353.34050OpenAlexW1982693832WikidataQ51171442 ScholiaQ51171442MaRDI QIDQ2955554

Lionel Weicker, Otti D'Huys, Thomas Erneux, Yanne K. Chembo, Maxime Jacquot, Laurent Larger, Jan Danckaert

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2012.0459

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18) Multiple scale methods for ordinary differential equations (34E13) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (9)

Complexity in electro-optic delay dynamics: modelling, design and applications ⋮ Dynamics, control and information in delay-coupled systems: an overview ⋮ A normal form method for the determination of oscillations characteristics near the primary Hopf bifurcation in bandpass optoelectronic oscillators: Theory and experiment ⋮ Non-resonant double Hopf bifurcation of a class-B laser system ⋮ Complex oscillations in the delayed Fitzhugh-Nagumo equation ⋮ Mixed-mode oscillation in a class of delayed feedback system and multistability dynamic response ⋮ Delay-induced switched states in a slow–fast system ⋮ Delayed dynamical systems: networks, chimeras and reservoir computing ⋮ Bifurcation analysis in a nonlinear electro-optical oscillator with delayed bandpass feedback

Cites Work

• Period doubling in singularly perturbed delay equations
• Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
• Ikeda Hopf bifurcation revisited
• Periodic solutions of singularly perturbed delay equations
• Asymptotic methods for delay equations
• Relaxation Oscillations in a Class of Delay Differential Equations
• From sine waves to square waves in delay equations
• Oscillation and Chaos in Physiological Control Systems

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