Controlling phase multistability in coupled period-doubling oscillators

Shabunin, A. V.
March 2013
Chaos;Mar2013, Vol. 23 Issue 1, p013102
Academic Journal
A simple method of switching between coexisting attractors in two coupled period-doubling oscillators is proposed. It is based on 'pulling' phases of oscillations into suitable value by means of two periodic forces which simultaneously influence the both sub-systems. The frequency and the phase-shift of the forces are key parameters of the control. Their choice determines the resulted regime. The method is tested on example of coupled Chua's oscillators and exhibits its efficiency both for periodic and for chaotic attractors.


Related Articles

  • Weakly nonlocal gravity-capillary solitary waves. Yang, T.S.; Akylas, T.R. // Physics of Fluids;Jun96, Vol. 8 Issue 6, p1506 

    Examines the full gravity-capillary wave problem with the calculation of the oscillatory tails of constant amplitude in the weakly nonlinear regime. Characterization of the phase shift of the tails relative to the main peak; Dependence of tail amplitude on the phase shift which is exponentially...

  • Starting solutions for the flow of second grade fluids in a rectangular channel due to an oscillating shear stress. Vieru, Dumitru; Fetecau, Corina; Rana, Mehwish // AIP Conference Proceedings;5/22/2012, Vol. 1450 Issue 1, p45 

    The unsteady motion of a second grade fluid between two parallel side walls perpendicular to a plate is studied by means of the Fourier sine and cosine transforms. Initially, the fluid is at rest and at time t = 0+, the plate applies an oscillating shear to the fluid. The solutions that have...

  • Phase-locking and frustration in an array of nonlinear spin-torque nano-oscillators. Tiberkevich, Vasil; Slavin, Andrei; Bankowski, Elena; Gerhart, Grant // Applied Physics Letters;12/28/2009, Vol. 95 Issue 26, p262505 

    We demonstrate that the cooperative dynamics of an array of coupled spin-torque nano-oscillators (STNO) can be controlled by introduction of an additional external phase shift βc between microwave current, which couples STNOs, and microwave voltage on the array. When this external phase shift...

  • Phase separation kinetics in a binary mixture of polyethylene glycol and polypropylene glycol... Steinhoff, B.; Rullmann, M.; kuhne, L. // Journal of Chemical Physics;10/1/1997, Vol. 107 Issue 13, p5217 

    Studies the phase separation kinetics of fluid mixtures of polyethylene glycol/polypropylene glycol. Pressure jump from the homogeneous one-phase region into the two-phase region of the phase diagram; Specific interactions caused by hydrogen bonding; Occurrence of a pinning effect.

  • Nonlinear response functions of the burning rate of ballistite powders. Zenin, A. A.; Finjakov, S. V. // Combustion, Explosion, & Shock Waves;Jul2008, Vol. 44 Issue 4, p410 

    Second-order nonlinear response functions to pressure oscillations are calculated for a group of ballistite powders with additives, based on results of microthermocouple measurements. A unified law of gasification of ballistite powders is refined. A classification of nonlinear response functions...

  • Synchronization of delayed coupled neurons in presence of inhomogeneity. Sadeghi, S.; Valizadeh, A. // Journal of Computational Neuroscience;Feb2014, Vol. 36 Issue 1, p55 

    In principle, two directly coupled limit cycle oscillators can overcome mismatch in intrinsic rates and match their frequencies, but zero phase lag synchronization is just achievable in the limit of zero mismatch, i.e., with identical oscillators. Delay in communication, on the other hand, can...

  • Nonlinear phase shifters based on forward volume spin waves. Ustinov, Alexey B.; Kalinikos, Boris A.; Lähderanta, E. // Journal of Applied Physics;Mar2013, Vol. 113 Issue 11, p113904 

    A microwave nonlinear phase shifter based on forward volume spin waves (FVSWs) is studied. The device is fabricated with perpendicularly magnetized 5.2-μm thick single-crystal yttrium iron garnet film. The performance characteristics of the device are measured for the bias magnetic field of...

  • Dephasing due to voltage probes in quantum wires with andidot potential. Souma, Satofumi; Suzuki, Akira // AIP Conference Proceedings;2000, Vol. 519 Issue 1, p569 

    The effect of phase-breaking due to the presence of voltage probes is investigated theoretically through a study of the conductance oscillation caused by inter-edge scattering between the circular edge-states around an antidot and those localized edge-states along the system boundaries on both...

  • Asteroseismology of solar and stellar models. Roxburgh, Ian W. // Astrophysics & Space Science;Jul2010, Vol. 328 Issue 1/2, p3 

    I discuss several asteroseismology diagnostic techniques that can be applied to the high quality data on stellar oscillations obtained, and to be obtained in the future, from ground based and space based experiments. In particular I discuss techniques using the representation of oscillation...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics