Volterra Equations with Periodic Nonlinearities: Multistability, Oscillations and Cycle Slipping
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Publication:5379867
DOI10.1142/S0218127419500688zbMath1419.45004OpenAlexW2948869975MaRDI QIDQ5379867
V. B. Smirnova, Anton V. Proskurnikov
Publication date: 14 June 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419500688
Integro-ordinary differential equations (45J05) Periodic solutions of integral equations (45M15) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)
Cites Work
- Synchronization in complex networks of phase oscillators: a survey
- Hidden attractors in dynamical systems
- Frequency oscillations estimates for digital phase-locked loops
- Frequency estimates of the number of cycle slippings in phase-locked automatic control systems
- Phase synchronization: theory and applications
- Dynamic feedback control for cycle slipping in a phase-controlled system
- Reduction method for integrodifferential equations
- Active control of flexible systems
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Random perturbation methods with applications in science and engineering
- Application of the method of Lyapunov periodic functions
- Theory of the non-linear analog phase locked loop.
- Criteria for dichotomy and gradient-like behavior of a class of nonlinear systems with multiple equilibria
- Popov's method and its subsequent development
- Necessity in quadratic criterion for absolute stability
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- Phase-Locked Loops, Demodulation, and Averaging Approximation Time-Scale Extensions
- Robust control of flexible structures using residual mode filters
- An Algorithm for Approximate Solutions to Weakly Filtered Synchronous Control Systems and Nonlinear Renewal Processes
- System analysis via integral quadratic constraints
- Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
- Selected Topics in Vibrational Mechanics
- Synchronization of Pulse-Coupled Oscillators and Clocks Under Minimal Connectivity Assumptions
- Horizons of cybernetical physics
- SYNCHRONIZATION OF SLOWLY ROTATING PENDULUMS
- Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory
- NONEXISTENCE OF PERIODIC SOLUTIONS IN A CLASS OF DYNAMICAL SYSTEMS WITH CYLINDRICAL PHASE SPACE
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