Control of dynamical systems behavior by parametric perturbations: An analytic approach

DOI10.1063/1.166017zbMath1055.37543OpenAlexW2021927095WikidataQ73464515 ScholiaQ73464515MaRDI QIDQ4526309

Andrew I. Shishmarev, Alexander Yu. Loskutov

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166017

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items

On the creation of stable periodic behavior of parametrically excited dynamical systems, May chaos always be suppressed by parametric perturbations?, Chaos suppression in gas-solid fluidization, REVEALING THE TRICK OF TAMING CHAOS BY WEAK HARMONIC PERTURBATIONS, Solving an inverse parametric control problem for one-dimensional maps, Observer-based control of a class of chaotic systems, Peculiarities of resonance chaos suppression in populations with non-overlapping generations, Simple and complex adjustment dynamics in Cournot duopoly models.

Cites Work

• Absolutely continuous measures for certain maps of an interval
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Stabilization of Chaotic Orbits by Random Noise
• Dynamics control of chaotic systems by parametric destochastization
• CONTROLLING OF CHAOS IN BONHOEFFER- VAN DER POL OSCILLATOR
• ON FEEDBACK CONTROL OF CHAOTIC NONLINEAR DYNAMIC SYSTEMS
• Ergodic theory of chaos and strange attractors
• Synchronization in chaotic systems