Noise induced escape from different types of chaotic attractor

Khovanov, Igor A.; Anishchenko, Vadim S.; Luchinsky, Dmitri G.; McClintock, Peter V. E.
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p48
Academic Journal
Noise-induced escape from a quasi-attractor, and from the Lorenz attractor with non-fractal boundaries, are compared through measurements of optimal paths. It has been found that, for both types of attractor, there exists a most probable (optimal) escape trajectory, the prehistory of the escape being defined by the structure of the chaotic attractor. For a quasi-attractor the escape process is realized via several steps, which include transitions between low-period saddle cycles co-existing in the system phase space. The prehistory of escape from the Lorenz attractor is defined by stable and unstable manifolds of the saddle center point, and the escape itself consists of crossing the saddle cycle surrounding one of the stable point-attractors. © 2000 American Institute of Physics.


Related Articles

  • Partial Control of a System with Fractal Basin Boundaries. Zambrano, S.; Sanjuán, M. A. F. // AIP Conference Proceedings;10/30/2008, Vol. 1067 Issue 1, p94 

    In this paper we apply the technique of partial control of a chaotic system to a dynamical system with two attractors with fractal basin boundaries, in presence of environmental noise. This technique allows one to keep the trajectories far from any of the attractors by applying a control that is...

  • The Effect of Asymmetry upon the Fractal Properties of Synchronous Chaos in Coupled Systems with Period Doubling. Seleznev, E. P.; Zakharevich, A. M. // Technical Physics Letters;Jul2002, Vol. 28 Issue 7, p536 

    The effect of an asymmetry upon the synchronous chaos in coupled systems with period doubling is studied by numerical methods. The introduction of an asymmetry after the loss of the transverse superstability imparts fractal properties to the synchronous chaotic attractor. On approaching the...

  • Strange (and Beautiful) Attractors. Sprott, Julien Clinton // Odyssey;Nov99, Vol. 8 Issue 8, p35 

    Provides information on chaotic behavior in systems. Example using a pocket calculator; Long-range weather prediction as being doomed to fail due to the `butterfly effect'; Oscillation as feedback which produce chaos; Point attractors and periodic attractors as factors for predictability or...

  • A chaotically driven model climate: extreme events and snapshot attractors. Bódai, T.; Károlyi, Gy.; Tél, T.; Kurths, J.; Redondo, J. M. // Nonlinear Processes in Geophysics;2011, Vol. 18 Issue 5, p573 

    In a low-order chaotic global atmospheric circulation model the effects of deterministic chaotic driving are investigated. As a result of driving, peak-over-threshold type extreme events, e.g. cyclonic activity in the model, become more extreme, with increased frequency of recurrence. When the...

  • Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system. Bashkirtseva, Irina; Chen, Guanrong; Ryashko, Lev // Chaos;Sep2012, Vol. 22 Issue 3, p033104 

    The stochastically perturbed Chen system is studied within the parameter region which permits both regular and chaotic oscillations. As noise intensity increases and passes some threshold value, noise-induced hopping between close portions of the stochastic cycle can be observed. Through these...

  • Phase synchronization of chaotic oscillations in terms of periodic orbits. Pikovsky, Arkady; Zaks, Michael; Rosenblum, Michael; Osipov, Grigory; Kurths, Jurgen // Chaos;Dec97, Vol. 7 Issue 4, p680 

    Examines phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking properties of unstable periodic orbits embedded in a chaotic attractor; Phase synchronization in the Rossler system and unstable periodic orbits; Special flow model; Mapping approach...

  • A criterion for the onset of chaos in weakly dissipative periodically driven systems. Soskin, S. M.; Mannella, R.; Neiman, A. B.; Silchenko, A. N.; Luchinsky, D. G.; McClintock, P. V. E. // AIP Conference Proceedings;2000, Vol. 502 Issue 1, p443 

    We generalize Chirikov’s resonance-overlap criterion for the onset of global chaos in Hamiltonian systems to describe the onset of chaotic attractors in weakly dissipative systems. © 2000 American Institute of Physics.

  • Image of synchronized chaos: Experiments with circuits. Rulkov, Nikolai F. // Chaos;Sep96, Vol. 6 Issue 3, p262 

    Presents examples of chaos synchronization that illustrate the modern state of the general framework of the phenomena. Synchronized chaos in form of identical oscillations; Generalized cases of synchronized chaos in drive-response systems; Synchronization of chaos by periodic signals; Phase...

  • Chaos and strange attractors of magnons observed by parallel pumping (invited). Yamazaki, Hitoshi // Journal of Applied Physics;11/15/1988, Vol. 64 Issue 10, p5391 

    Presents a study that observed chaos and strange attractors of magnons by parallel pumping. Fractal dimension of strange attractors; Definition of the spatial correlation of the attractor; Function of Lyapunov exponents as quantitative measure of strange attractor.


Read the Article


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

Try another library?
Sign out of this library

Other Topics