Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor

DOI10.1142/S0218127419500561zbMath1416.34043OpenAlexW2940590710WikidataQ109649407 ScholiaQ109649407MaRDI QIDQ4632160

Jay Prakash Singh, Nikolay V. Kuznetsov, Binoy Krishna Roy

Publication date: 26 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419500561

zbMATH Keywords

chaos controlbifurcation analysismultistabilityhidden attractorsSMCchaotic PMSM

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Adaptive control/observation systems (93C40) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

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Cites Work

• Unnamed Item
• An adaptive fast terminal sliding mode control combined with global sliding mode scheme for tracking control of uncertain nonlinear third-order systems
• Dynamics of a parametrically excited system with two forcing terms
• Control of multistability
• Hidden attractors in dynamical systems
• Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems
• Bounding a domain containing all compact invariant sets of the permanent-magnet motor system
• New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria
• Synchronization and anti-synchronization of Lu and Bhalekar-Gejji chaotic systems using nonlinear active control
• Chaos synchronization and parameters identification of single time scale brushless DC motors
• Hidden attractor in smooth Chua systems
• Adaptive fuzzy control for induction motors stochastic nonlinear systems with input saturation based on command filtering
• Adaptive synchronization method for chaotic permanent magnet synchronous motor
• The nature of Lyapunov exponents is \((+,+,-,-)\). Is it a hyperchaotic system?
• Periodic Motions to Chaos in Pendulum
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR
• Deterministic Nonperiodic Flow
• Nonlinear Dynamics of Permanent-magnet Synchronous Motor with v/f Control
• Co-existing hidden attractors in a radio-physical oscillator system