Results 1 to 10 of about 55,434 (172)

Geometric and dynamic perspectives on phase-coherent and noncoherent chaos [PDF]

, 2012
Statistically distinguishing between phase-coherent and noncoherent chaotic dynamics from time series is a contemporary problem in nonlinear sciences.
Conover W. J., Csárdi G., Guckenheimer J., Hollander M., Jürgen Kurths, Kantz H., Lomax R. G., Montgomery D. C., Nayfeh A., Reik V. Donner, Sprott J. C., Sprott J. C., Thiel M., Webber C., Yong Zou   +14 more
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Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time [PDF]

, 2010
Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time.
A. Okninski, A. Okninski, A. Okninski, A. Okninski, A.C.J. Luo, A.C.J. Luo, A.C.J. Luo, A.C.J. Luo, A.F. Filippov, Andrzej Okniński, Bogusław Radziszewski, C. Knudsen, J. Awrejcewicz, M. di Bernardo, M. Wiercigroch, S. Giusepponi, S. Giusepponi, W.J. Stronge   +17 more
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Sensitivity to measurement perturbation of single atom dynamics in cavity QED [PDF]

, 2000
We consider continuous observation of the nonlinear dynamics of single atom trapped in an optical cavity by a standing wave with intensity modulation. The motion of the atom changes the phase of the field which is then monitored by homodyne detection of ...
A.C. Doherty, A.M. Herkommer, B.G. Klappauf, B.G. Klappauf, B.V. Chirikov, D.F. Walls, D.L. Shepelyansky, E. Wigner, E.J. Galvez, F.L. Moore, G. J. Milburn, H. Ammann, H. Mabuchi, H.J. Groenewold, H.M. Wiseman, J. Ye, J.E. Bayfield, J.F. Corney, J.K. Breslin, K. Molmer, L. Wang, M. Arndt, M. Hug, R. Schack, Ralf Quadt, Ronnie Kosloff, Rüdiger Schack, S. Dyrting, S. Fishman, T.A. Brun, W.H. Zurek, W.H. Zurek, Wenyu Chen, X. M. Liu   +33 more
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Spectral description of the dynamics of ultracold interacting bosons in disordered lattices [PDF]

, 2012
We study the dynamics of a nonlinear one-dimensional disordered system from a spectral point of view. The spectral entropy and the Lyapunov exponent are extracted from the short time dynamics, and shown to give a pertinent characterization of the ...
Garreau, Jean Claude, Vermersch, Benoît
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Optical chaos in nonlinear photonic crystals [PDF]

, 2002
We examine a spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity when simultaneously a second harmonic and a sum-frequency generation are quasi-phase-matched. We find the conditions of a transition to Hamiltonian
Alekseev, Kirill N., Ponomarev, Aleksey V.   +1 more
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Linear And Nonlinear Arabesques: A Study Of Closed Chains Of Negative 2-Element Circuits [PDF]

, 2013
In this paper we consider a family of dynamical systems that we call "arabesques", defined as closed chains of 2-element negative circuits. An $n$-dimensional arabesque system has $n$ 2-element circuits, but in addition, it displays by construction, two $
Antonopoulos, Chris, Basios, Vasileios, Demongeot, Jacques, Nardone, Pasquale, Thomas, Rene   +4 more
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Leading Pollicott-Ruelle Resonances for Chaotic Area-Preserving Maps

, 2008
Recent investigations in nonlinear sciences show that not only hyperbolic but also mixed dynamical systems may exhibit exponential relaxation in the chaotic regime.
A. J. Lichtenberg, B. V. Chirikov, P. Cvitanović, P. Gaspard, R. Balescu, R. Venegeroles, Roberto Venegeroles   +6 more
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Complex Neuro-Cognitive Systems [PDF]

, 2011
Cognitive functions such as a perception, thinking and acting are based on the working of the brain, one of the most complex systems we know. The traditional scientific methodology, however, has proved to be not sufficient to understand the relation ...
Schierwagen, Andreas
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Hidden attractors in fundamental problems and engineering models

, 2015
Recently a concept of self-excited and hidden attractors was suggested: an attractor is called a self-excited attractor if its basin of attraction overlaps with neighborhood of an equilibrium, otherwise it is called a hidden attractor.
A Kuznetsov, A Pisarchik, A Sommerfeld, AB Glukhovskii, AS Pikovski, B Bao, B Pol van der, B.R. Andrievsky, B.R. Andrievsky, C Li, C Li, Chunbiao Li, D Cafagna, D Dudkowski, David Hilbert, EN Lorenz, F Tahir, G Duffing, G Leonov, G. A. LEONOV, G.A. Leonov, G.A. Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, Gennady A. Leonov, Huitao Zhao, I Burkin, I.I. Blekhman, J Bernat, J Sprott, J Sprott, JULIEN CLINTON SPROTT, JWS Rayleigh, L Belyustina, M Chen, M Chen, M Shahzad, M.A. Kiseleva, M.A. Kiseleva, M.A. Kiseleva, MA Aizerman, MALIHE MOLAIE, MI Rabinovich, N.V. Kuznetsov, N.V. Kuznetsov, N.V. Kuznetsov, NE Barabanov, NV Kuznetsov, P Saha, Pooja Rani Sharma, Q Li, R. Fitts, RE Kalman, S Brezetskyi, S Jafari, S Jafari, S Nose, S Vaidyanathan, S Vaidyanathan, Sajad Jafari, Seng-Kin Lao, U Chaudhuri, V Pham, V. Semenov, VA Pliss, Viet-Thanh Pham, Viet-Thanh Pham, VO Bragin, VT Pham, VT Pham, VT Pham, VT Pham, W Hoover, WP Heath, X Wang, Xiao-Yu Dang, Y Feng, Y Feng, Y Ueda, Z Wei, Z Wei, Z Zhusubaliyev, Z Zhusubaliyev, Zhanybai T. Zhusubaliyev, Zhouchao Wei, Zhouchao Wei   +93 more
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Chaotic and pseudochaotic attractors of perturbed fractional oscillator

, 2005
We consider a nonlinear oscillator with fractional derivative of the order alpha. Perturbed by a periodic force, the system exhibits chaotic motion called fractional chaotic attractor (FCA). The FCA is compared to the ``regular'' chaotic attractor.
A. A. Stanislavsky, Alligood K. T., Bush V., Erdélyi A., G. M. Zaslavsky, Gelfand I. M., Heaviside O., M. Edelman, Miller K. S., Ott E., Podlubny I.   +10 more
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