title: Targeting fixed-point solutions in nonlinear oscillators through linear augmentation.
abstract: We propose a general strategy to stabilize the fixed points of nonlinear oscillators with augmented dynamics. By using this scheme, either the unstable fixed points of the oscillatory system or a new fixed point of the augmented system can be stabilized. The Lyapunov exponents are used to study the dynamical properties. This scheme is illustrated with a chaotic Lorenz oscillator coupled through an external linear dynamical system. The experimental demonstration of the proposed scheme to stabilize the fixed points is also presented.
authors.affiliation: The LNM Institute of Information Technology, Jaipur 302 031, India.
authors.forename: Pooja Rani
authors.initials: PR
authors.lastname: Sharma
authors.forename: Amit
authors.initials: A
authors.lastname: Sharma
authors.forename: Manish Dev
authors.initials: MD
authors.lastname: Shrimali
authors.forename: Awadhesh
authors.initials: A
authors.lastname: Prasad
mesh_terms: D016014:Linear Models; D017711:Nonlinear Dynamics; D013997:Time Factors