On the creation of stable periodic behavior of parametrically excited dynamical systems

DOI10.1007/BF02068747zbMath0856.34041MaRDI QIDQ1921869

Alexander Yu. Loskutov, Alexander N. Deryugin, Valery M. Tereshko

Publication date: 1995

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stable periodic behaviornonlinear oscillating systems of van der Pol typeOGY strategy of controlling chaossmall periodic parametric perturbations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• CONTROLLING OF CHAOS IN BONHOEFFER- VAN DER POL OSCILLATOR
• ON FEEDBACK CONTROL OF CHAOTIC NONLINEAR DYNAMIC SYSTEMS
• Controlling chaos
• Control of dynamical systems behavior by parametric perturbations: An analytic approach