Spontaneous ‐Symmetry Breaking in Nonlinearly Coupled van der Pol Oscillators

DOI10.1111/SAPM.12139zbMath1366.34051OpenAlexW2491794806MaRDI QIDQ2822882

Alejandro B. Aceves, Jessica J. Jutley

Publication date: 5 October 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12139

zbMATH Keywords

asymptotic methodsbreakingnonlinearly coupled van der Pol oscillatorsspontaneous Parity-time symmetry

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part II

Cites Work

• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• 𝓟𝓣-symmetric quantum mechanics
• An exactly solvable $\mathcal {PT}$-symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss

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