Results 1 to 10 of about 70,235 (224)

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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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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Complexity without chaos: Plasticity within random recurrent networks generates robust timing and motor control [PDF]

, 2012
It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent dynamics for ...
A Banerjee, A Litwin-Kumar, C Miall, C van Vreeswijk, CA Skarda, CV Buhusi, D Bueti, D Durstewitz, D Durstewitz, D Sussillo, DA Crowe, Dean V Buonomano, DJ Watts, DV Buonomano, DV Buonomano, DV Buonomano, DV Buonomano, DV Buonomano, E Pastalkova, EM Izhikevich, G Boffetta, G Fagiolo, H Jaeger, H Jaeger, H Kantz, H Merchant, H Sompolinsky, J Coull, JF Medina, JF Medina, JJ Hopfield, JK Liu, JX Li, K Rajan, M London, M Monteforte, M Rabinovich, MA Long, MB Ahrens, MD Mauk, MM Churchland, MS Goldman, MS Matell, N Brunel, P Janssen, P Simen, RB Ivry, RB Ivry, RHR Hahnloser, RM Church, Rodrigo Laje, S Ganguli, S Song, XJ Wang   +53 more
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Data assimilation in slow-fast systems using homogenized climate models [PDF]

, 2011
A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes.
Ambaum, Anderson, Anderson, Anderson, Anderson, Anderson, Bergemann, Berner, Berner, Branstator, Buizza, Cheng, Cornick, Corti, Crommelin, Crommelin, Crommelin, Crommelin, Ditlevsen, Egger, Ehrendorfer, Evensen, Evensen, Franzke, Franzke, Franzke, Franzke, Frederiksen, Gardiner, Georg A. Gottwald, Givon, Golub, Hamill, Hamill, Harlim, Harlim, Hasselmann, Hsu, Imkeller, Kalnay, Khasminsky, Kimoto, Kleeman, Kondrashov, Kramers, Kurtz, Kwasniok, Legras, Leith, Lewis Mitchell, Li, Lin, Lin, Lorenz, Lorenz, Luzzatto, Majda, Majda, Majda, Majda, Majda, Melbourne, Palmer, Palmer, Papanicolaou, Pavliotis, Pavliotis, Plant, Shutts, Siegert, Simon, Stemler, Stephenson, Sura, Sura, Talagrand, Tippett, Tucker, Wang, Wilks, Wilks, Wirth, Zwanzig   +82 more
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Fractal Measures and Nonlinear Dynamics of Overcontact Binaries [PDF]

, 2019
Overcontact binary stars are systems of two stars where the component stars are in contact with each other. This implies that they share a common envelope of gas.
Ambika, G., George, Sandip V., Misra, R.
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How single neuron properties shape chaotic dynamics and signal transmission in random neural networks

, 2019
While most models of randomly connected networks assume nodes with simple dynamics, nodes in realistic highly connected networks, such as neurons in the brain, exhibit intrinsic dynamics over multiple timescales.
Gerstner, Wulfram, Muscinelli, Samuel P., Schwalger, Tilo   +2 more
core   +1 more source

Characteristics of in-out intermittency in delay-coupled FitzHugh-Nagumo oscillators

, 2018
We analyze a pair of delay-coupled FitzHugh-Nagumo oscillators exhibiting in-out intermittency as a part of the generating mechanism of extreme events.
Feudel, Ulrike, Saha, Arindam
core   +1 more source

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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Testing For Nonlinearity Using Redundancies: Quantitative and Qualitative Aspects

, 1994
A method for testing nonlinearity in time series is described based on information-theoretic functionals -- redundancies, linear and nonlinear forms of which allow either qualitative, or, after incorporating the surrogate data technique, quantitative ...
Anderson, Bickel, Billingsley, Brock, Cover, Eckmann, Efron, Efron, Efron, Ellner, Fraser, Fraser, Fraser, Gallager, Grassberger, Grassberger, Grebogi, Hommel, Jenkins, Kaplan, Kaplan, Kennel, Khinchin, Kullback, Lorenz, Mayer-Kress, Milan Paluš, Miller, Moon, Morgera, Morgerstern, Mosteller, Osborne, Paluš, Paluš, Press, Priestley, Provenzale, Rapp, Rössler, Schuster, Shannon, Shaw, Smith, Subba Rao, Sugihara, Takens, Theiler, Theiler, Theiler, Theiler, Theiler, Weigend   +52 more
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